Gimenez, Philippe; Ruano, Diego; San-José, Rodrigo Subfield subcodes of projective Reed-Muller codes. (English) Zbl 07796483 Finite Fields Appl. 94, Article ID 102353, 46 p. (2024). MSC: 11T71 94B05 14G50 13P25 PDFBibTeX XMLCite \textit{P. Gimenez} et al., Finite Fields Appl. 94, Article ID 102353, 46 p. (2024; Zbl 07796483) Full Text: DOI arXiv
Golalizadeh, Somayyeh; Soltankhah, Nasrin On the codewords of generalized Reed-Muller codes reaching the fourth weight. (English) Zbl 07790915 Inf. Comput. 296, Article ID 105113, 10 p. (2024). MSC: 68Qxx PDFBibTeX XMLCite \textit{S. Golalizadeh} and \textit{N. Soltankhah}, Inf. Comput. 296, Article ID 105113, 10 p. (2024; Zbl 07790915) Full Text: DOI
Kamenev, Mikhail Recursive decoding of Reed-Muller codes starting with the higher-rate constituent code. (English) Zbl 07820122 IEEE Trans. Inf. Theory 69, No. 4, 2206-2217 (2023). MSC: 94-XX PDFBibTeX XMLCite \textit{M. Kamenev}, IEEE Trans. Inf. Theory 69, No. 4, 2206--2217 (2023; Zbl 07820122) Full Text: DOI arXiv
Bhowmick, Abhishek; Lovett, Shachar Bias vs structure of polynomials in large fields, and applications in information theory. (English) Zbl 07819717 IEEE Trans. Inf. Theory 69, No. 2, 963-977 (2023). MSC: 94-XX PDFBibTeX XMLCite \textit{A. Bhowmick} and \textit{S. Lovett}, IEEE Trans. Inf. Theory 69, No. 2, 963--977 (2023; Zbl 07819717) Full Text: DOI arXiv
Xu, Yan; Ji, Changjiang; Tao, Ran; Hu, Sihuang Extended cyclic codes sandwiched between Reed-Muller codes. (English) Zbl 07818556 IEEE Trans. Inf. Theory 69, No. 1, 138-146 (2023). MSC: 94-XX PDFBibTeX XMLCite \textit{Y. Xu} et al., IEEE Trans. Inf. Theory 69, No. 1, 138--146 (2023; Zbl 07818556) Full Text: DOI arXiv
Golalizadeh, Somayyeh; Soltankhah, Nasrin On the fourth weight of generalized Reed-Muller codes. (English) Zbl 07768321 Des. Codes Cryptography 91, No. 12, 3857-3879 (2023). MSC: 11T71 11G25 PDFBibTeX XMLCite \textit{S. Golalizadeh} and \textit{N. Soltankhah}, Des. Codes Cryptography 91, No. 12, 3857--3879 (2023; Zbl 07768321) Full Text: DOI
Xu, Yan; Tao, Ran; Hu, Sihuang New classes of affine-invariant codes sandwiched between Reed-Muller codes. (English) Zbl 07761947 Finite Fields Appl. 92, Article ID 102299, 32 p. (2023). MSC: 94B15 68R01 94B25 PDFBibTeX XMLCite \textit{Y. Xu} et al., Finite Fields Appl. 92, Article ID 102299, 32 p. (2023; Zbl 07761947) Full Text: DOI
Bodur, Şeyma; Martínez-Moro, Edgar; Ruano, Diego Private information retrieval schemes using cyclic codes. (English) Zbl 07724818 Mesnager, Sihem (ed.) et al., Arithmetic of finite fields. 9th international workshop, WAIFI 2022, Chengdu, China, August 29 – September 2, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13638, 194-207 (2023). MSC: 94B15 11T71 68P20 PDFBibTeX XMLCite \textit{Ş. Bodur} et al., Lect. Notes Comput. Sci. 13638, 194--207 (2023; Zbl 07724818) Full Text: DOI arXiv
Ding, Cunsheng; Sun, Zhonghua; Wang, Xiaoqiang Two classes of constacyclic codes with variable parameters. (English) Zbl 07724813 Mesnager, Sihem (ed.) et al., Arithmetic of finite fields. 9th international workshop, WAIFI 2022, Chengdu, China, August 29 – September 2, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13638, 127-141 (2023). Reviewer: Nikolay Yankov (Shumen) MSC: 94B15 94B05 PDFBibTeX XMLCite \textit{C. Ding} et al., Lect. Notes Comput. Sci. 13638, 127--141 (2023; Zbl 07724813) Full Text: DOI arXiv
Carlet, Claude; Solé, Patrick The weight spectrum of two families of Reed-Muller codes. (English) Zbl 1520.94084 Discrete Math. 346, No. 10, Article ID 113568, 7 p. (2023). Reviewer: Steven T. Dougherty (Scranton) MSC: 94B05 PDFBibTeX XMLCite \textit{C. Carlet} and \textit{P. Solé}, Discrete Math. 346, No. 10, Article ID 113568, 7 p. (2023; Zbl 1520.94084) Full Text: DOI arXiv
Datta, Somantika Welch bound equality sets with few distinct inner products from Delsarte-Goethals sets. (English) Zbl 1517.94025 Cryptogr. Commun. 15, No. 3, 719-729 (2023). MSC: 94A12 42C15 94B05 PDFBibTeX XMLCite \textit{S. Datta}, Cryptogr. Commun. 15, No. 3, 719--729 (2023; Zbl 1517.94025) Full Text: DOI
Bennenni, Nabil; Leroy, André Evaluation of iterated Ore polynomials and skew Reed-Muller codes. (English) Zbl 1528.94106 Leroy, A. (ed.) et al., Algebra and coding theory. Virtual conference in honor of Tariq Rizvi. Noncommutative rings and their applications VII, Université d’Artois, Lens, France, July 5–7, 2021. Virtual conference on quadratic forms, rings and codes, Université d’Artois, Lens, France, July 8, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 785, 23-34 (2023). MSC: 94B05 11T71 14G50 16L30 PDFBibTeX XMLCite \textit{N. Bennenni} and \textit{A. Leroy}, Contemp. Math. 785, 23--34 (2023; Zbl 1528.94106) Full Text: DOI
Bernal, José Joaquín; Simón, Juan Jacobo New advances in permutation decoding of first-order Reed-Muller codes. (English) Zbl 1522.94128 Finite Fields Appl. 88, Article ID 102182, 14 p. (2023). MSC: 94B35 94B05 PDFBibTeX XMLCite \textit{J. J. Bernal} and \textit{J. J. Simón}, Finite Fields Appl. 88, Article ID 102182, 14 p. (2023; Zbl 1522.94128) Full Text: DOI arXiv
Augot, Daniel; Bordage, Sarah; Nardi, Jade Efficient multivariate low-degree tests via interactive oracle proofs of proximity for polynomial codes. (English) Zbl 1520.94102 Des. Codes Cryptography 91, No. 3, 1111-1151 (2023). MSC: 94B25 68Q11 94C11 PDFBibTeX XMLCite \textit{D. Augot} et al., Des. Codes Cryptography 91, No. 3, 1111--1151 (2023; Zbl 1520.94102) Full Text: DOI
Tumaykin, I. N. The structure of Reed-Muller codes over a nonprime field. (English. Russian original) Zbl 07658766 J. Math. Sci., New York 269, No. 3, 422-441 (2023); translation from Fundam. Prikl. Mat. 23, No. 3, 231-258 (2020). Reviewer: Sudhir Batra (Sonipat) MSC: 94B05 PDFBibTeX XMLCite \textit{I. N. Tumaykin}, J. Math. Sci., New York 269, No. 3, 422--441 (2023; Zbl 07658766); translation from Fundam. Prikl. Mat. 23, No. 3, 231--258 (2020) Full Text: DOI
Abbe, Emmanuel; Sberlo, Ori; Shpilka, Amir; Ye, Min Reed-Muller codes. (English) Zbl 1507.94066 Found. Trends Commun. Inf. Theory 20, No. 1-2, 1-156 (2023). MSC: 94B05 94-02 PDFBibTeX XMLCite \textit{E. Abbe} et al., Found. Trends Commun. Inf. Theory 20, No. 1--2, 1--156 (2023; Zbl 1507.94066) Full Text: DOI
Mogilnykh, I. Yu.; Solov’eva, F. I. On weight distributions for a class of codes with parameters of Reed-Muller codes. (English. Russian original) Zbl 07715384 Probl. Inf. Transm. 58, No. 3, 231-241 (2022); translation from Probl. Peredachi Inf. 58, No. 3, 33-44 (2022). MSC: 94B05 PDFBibTeX XMLCite \textit{I. Yu. Mogilnykh} and \textit{F. I. Solov'eva}, Probl. Inf. Transm. 58, No. 3, 231--241 (2022; Zbl 07715384); translation from Probl. Peredachi Inf. 58, No. 3, 33--44 (2022) Full Text: DOI
Goy, Guillaume; Loiseau, Antoine; Gaborit, Philippe A new key recovery side-channel attack on HQC with chosen ciphertext. (English) Zbl 1517.94105 Cheon, Jung Hee (ed.) et al., Post-quantum cryptography. 13th international workshop, PQCrypto 2022, virtual event, September 28–30, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13512, 353-371 (2022). MSC: 94A60 94A40 81P94 94B05 PDFBibTeX XMLCite \textit{G. Goy} et al., Lect. Notes Comput. Sci. 13512, 353--371 (2022; Zbl 1517.94105) Full Text: DOI
González Sarabia, Manuel; Uribe-Paczka, M. Eduardo; Sarmiento, Eliseo; Rentería, Carlos Relative generalized minimum distance functions. (English) Zbl 07691472 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 65(113), No. 3, 289-302 (2022). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 13P25 14G50 94B27 11T71 PDFBibTeX XMLCite \textit{M. González Sarabia} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 65(113), No. 3, 289--302 (2022; Zbl 07691472) Full Text: arXiv
Kosolapov, Yu. V.; Lelyuk, E. A. On the structural security of a McEliece-type cryptosystem based on the sum of tensor products of binary Reed-Muller codes. (Russian. English summary) Zbl 1506.94051 Prikl. Diskretn. Mat. 2022, No. 57, 22-39 (2022). MSC: 94A60 81P94 94B05 PDFBibTeX XMLCite \textit{Yu. V. Kosolapov} and \textit{E. A. Lelyuk}, Prikl. Diskretn. Mat. 2022, No. 57, 22--39 (2022; Zbl 1506.94051) Full Text: DOI MNR
Andriatahiny, Harinaivo On algebraic structure of the Reed-Muller codes. (English) Zbl 1520.94082 Art Discrete Appl. Math. 5, No. 2, Paper No. P2.07, 9 p. (2022). Reviewer: Nikolay Yankov (Shumen) MSC: 94B05 PDFBibTeX XMLCite \textit{H. Andriatahiny}, Art Discrete Appl. Math. 5, No. 2, Paper No. P2.07, 9 p. (2022; Zbl 1520.94082) Full Text: DOI
Gini, Agnese; Méaux, Pierrick On the weightwise nonlinearity of weightwise perfectly balanced functions. (English) Zbl 1501.94122 Discrete Appl. Math. 322, 320-341 (2022). MSC: 94D10 94A60 PDFBibTeX XMLCite \textit{A. Gini} and \textit{P. Méaux}, Discrete Appl. Math. 322, 320--341 (2022; Zbl 1501.94122) Full Text: DOI
Chizhov, Ivan V.; Borodin, Mikhail A. Classification of Hadamard products of one-codimensional subcodes of Reed-Muller codes. (English. Russian original) Zbl 1512.94124 Discrete Math. Appl. 32, No. 5, 297-311 (2022); translation from Diskretn. Mat. 32, No. 1, 115-134 (2020). MSC: 94B05 94A60 PDFBibTeX XMLCite \textit{I. V. Chizhov} and \textit{M. A. Borodin}, Discrete Math. Appl. 32, No. 5, 297--311 (2022; Zbl 1512.94124); translation from Diskretn. Mat. 32, No. 1, 115--134 (2020) Full Text: DOI
Armand, Tsimi Jean; Cedric, Pemha Binyam Gabriel A \(m \Theta\) spectrum of Reed-Muller codes. (English) Zbl 1501.94114 J. Discrete Math. Sci. Cryptography 25, No. 6, 1791-1807 (2022). MSC: 94B60 PDFBibTeX XMLCite \textit{T. J. Armand} and \textit{P. B. G. Cedric}, J. Discrete Math. Sci. Cryptography 25, No. 6, 1791--1807 (2022; Zbl 1501.94114) Full Text: DOI
Chen, Hao Coordinate-ordering-free upper bounds for linear insertion-deletion codes. (English) Zbl 1505.94091 IEEE Trans. Inf. Theory 68, No. 8, 5126-5132 (2022). MSC: 94B05 PDFBibTeX XMLCite \textit{H. Chen}, IEEE Trans. Inf. Theory 68, No. 8, 5126--5132 (2022; Zbl 1505.94091) Full Text: DOI arXiv
Romanov, Alexander M. On the number of \(q\)-ary quasi-perfect codes with covering radius 2. (English) Zbl 1496.94087 Des. Codes Cryptography 90, No. 8, 1713-1719 (2022). Reviewer: Weidong Cheng (Chongqing) MSC: 94B05 94B25 05B25 PDFBibTeX XMLCite \textit{A. M. Romanov}, Des. Codes Cryptography 90, No. 8, 1713--1719 (2022; Zbl 1496.94087) Full Text: DOI arXiv
Elimelech, Dor; Wei, Hengjia; Schwartz, Moshe On the generalized covering radii of Reed-Muller codes. (English) Zbl 1505.94094 IEEE Trans. Inf. Theory 68, No. 7, 4378-4391 (2022). MSC: 94B05 94B75 PDFBibTeX XMLCite \textit{D. Elimelech} et al., IEEE Trans. Inf. Theory 68, No. 7, 4378--4391 (2022; Zbl 1505.94094) Full Text: DOI arXiv
López, Hiram H.; Matthews, Gretchen L.; Valvo, Daniel Erasures repair for decreasing monomial-Cartesian and augmented Reed-Muller codes of high rate. (English) Zbl 1495.94112 IEEE Trans. Inf. Theory 68, No. 3, 1651-1662 (2022). MSC: 94B05 94B25 PDFBibTeX XMLCite \textit{H. H. López} et al., IEEE Trans. Inf. Theory 68, No. 3, 1651--1662 (2022; Zbl 1495.94112) Full Text: DOI arXiv
Tan, Pan; Fan, Cuiling; Mesnager, Sihem; Guo, Wei Linear codes from support designs of ternary cyclic codes. (English) Zbl 1492.94213 Des. Codes Cryptography 90, No. 3, 681-693 (2022). Reviewer: José Martínez-Bernal (Ciudad de México) MSC: 94B15 05B05 PDFBibTeX XMLCite \textit{P. Tan} et al., Des. Codes Cryptography 90, No. 3, 681--693 (2022; Zbl 1492.94213) Full Text: DOI
Mesnager, Sihem; Oblaukhov, Alexey Classification of the codewords of weights 16 and 18 of the Reed-Muller code \(RM(n-3,n)\). (English) Zbl 1489.94199 IEEE Trans. Inf. Theory 68, No. 2, 940-952 (2022). MSC: 94B65 94B75 94D10 PDFBibTeX XMLCite \textit{S. Mesnager} and \textit{A. Oblaukhov}, IEEE Trans. Inf. Theory 68, No. 2, 940--952 (2022; Zbl 1489.94199) Full Text: DOI
Dougherty, Randall; Mauldin, R. Daniel; Tiefenbruck, Mark The covering radius of the Reed-Muller code \(\mathrm{RM}(m-4,m)\) in \(\mathrm{RM}(m-3,m)\). (English) Zbl 1489.94201 IEEE Trans. Inf. Theory 68, No. 1, 560-571 (2022). MSC: 94B75 94B05 94D10 PDFBibTeX XMLCite \textit{R. Dougherty} et al., IEEE Trans. Inf. Theory 68, No. 1, 560--571 (2022; Zbl 1489.94201) Full Text: DOI arXiv
Hązła, Jan; Samorodnitsky, Alex; Sberlo, Ori On codes decoding a constant fraction of errors on the BSC. (English) Zbl 07765263 Khuller, Samir (ed.) et al., Proceedings of the 53rd annual ACM SIGACT symposium on theory of computing, STOC ’21, virtual, Italy, June 21–25, 2021. New York, NY: Association for Computing Machinery (ACM). 1479-1488 (2021). MSC: 68Qxx PDFBibTeX XMLCite \textit{J. Hązła} et al., in: Proceedings of the 53rd annual ACM SIGACT symposium on theory of computing, STOC '21, virtual, Italy, June 21--25, 2021. New York, NY: Association for Computing Machinery (ACM). 1479--1488 (2021; Zbl 07765263) Full Text: DOI
Drăgoi, Vlad-Florin; Szocs, Andreea Structural properties of self-dual monomial codes with application to code-based cryptography. (English) Zbl 1512.94178 Paterson, Maura B. (ed.), Cryptography and coding. 18th IMA international conference, IMACC 2021, virtual event, December 14–15, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13129, 16-41 (2021). MSC: 94B60 94A60 PDFBibTeX XMLCite \textit{V.-F. Drăgoi} and \textit{A. Szocs}, Lect. Notes Comput. Sci. 13129, 16--41 (2021; Zbl 1512.94178) Full Text: DOI
Ding, Cunsheng; Tang, Chunming The linear codes of \(t\)-designs held in the Reed-Muller and simplex codes. (English) Zbl 1494.94051 Cryptogr. Commun. 13, No. 6, 927-949 (2021). Reviewer: Gianira N. Alfarano (Zürich) MSC: 94B05 51E05 PDFBibTeX XMLCite \textit{C. Ding} and \textit{C. Tang}, Cryptogr. Commun. 13, No. 6, 927--949 (2021; Zbl 1494.94051) Full Text: DOI arXiv
He, Zhiwen; Wen, Jiejing Linear codes of 2-designs as subcodes of the generalized Reed-Muller codes. (English) Zbl 1495.94143 Cryptogr. Commun. 13, No. 3, 407-423 (2021). Reviewer: José Martínez-Bernal (Ciudad de México) MSC: 94B25 05B30 PDFBibTeX XMLCite \textit{Z. He} and \textit{J. Wen}, Cryptogr. Commun. 13, No. 3, 407--423 (2021; Zbl 1495.94143) Full Text: DOI arXiv
Kosolapov, Yuriĭ Vladimirovich; Lelyuk, Anastasiya Andreevna Cryptanalysis of the BBCRS system on Reed-Muller binary code. (Russian. English summary) Zbl 1485.94100 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 3, 18-32 (2021). MSC: 94A60 68P25 94B05 PDFBibTeX XMLCite \textit{Y. V. Kosolapov} and \textit{A. A. Lelyuk}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 3, 18--32 (2021; Zbl 1485.94100) Full Text: DOI MNR
Solov’eva, F. I. On intersections of Reed-Muller like codes. (English. Russian original) Zbl 1495.94119 Probl. Inf. Transm. 57, No. 4, 357-367 (2021); translation from Probl. Peredachi Inf. 57, No. 4, 63-73 (2021). MSC: 94B05 PDFBibTeX XMLCite \textit{F. I. Solov'eva}, Probl. Inf. Transm. 57, No. 4, 357--367 (2021; Zbl 1495.94119); translation from Probl. Peredachi Inf. 57, No. 4, 63--73 (2021) Full Text: DOI
Romanov, A. M. On perfect and Reed-Muller codes over finite fields. (English. Russian original) Zbl 1495.94117 Probl. Inf. Transm. 57, No. 3, 199-211 (2021); translation from Probl. Peredachi Inf. 57, No. 3, 3-16 (2021). MSC: 94B05 PDFBibTeX XMLCite \textit{A. M. Romanov}, Probl. Inf. Transm. 57, No. 3, 199--211 (2021; Zbl 1495.94117); translation from Probl. Peredachi Inf. 57, No. 3, 3--16 (2021) Full Text: DOI
Solov’eva, Faina Ivanovna Minimum weight bases for quaternary Reed-Muller codes. (English) Zbl 1519.94240 Sib. Èlektron. Mat. Izv. 18, No. 2, 1358-1366 (2021). MSC: 94B05 PDFBibTeX XMLCite \textit{F. I. Solov'eva}, Sib. Èlektron. Mat. Izv. 18, No. 2, 1358--1366 (2021; Zbl 1519.94240) Full Text: DOI
Ding, Cunsheng Cyclic codes over finite fields. (English) Zbl 1489.94136 Huffman, W. Cary (ed.) et al., Concise encyclopedia of coding theory. Boca Raton, FL: CRC Press. 45-60 (2021). MSC: 94B05 94B15 94B65 94-02 PDFBibTeX XMLCite \textit{C. Ding}, in: Concise encyclopedia of coding theory. Boca Raton, FL: CRC Press. 45--60 (2021; Zbl 1489.94136)
Vysotskaya, V. Characteristics of Hadamard square of special Reed-Muller subcodes. (English) Zbl 1495.94124 Prikl. Diskretn. Mat. 2021, No. 53, 75-88 (2021). MSC: 94B05 94A60 PDFBibTeX XMLCite \textit{V. Vysotskaya}, Prikl. Diskretn. Mat. 2021, No. 53, 75--88 (2021; Zbl 1495.94124) Full Text: DOI MNR
Peters, Chris On the maximal number of du val singularities for a \(K3\) surface. (English) Zbl 1470.14074 Geom. Dedicata 214, 383-388 (2021). MSC: 14J28 14J17 14G50 94B05 PDFBibTeX XMLCite \textit{C. Peters}, Geom. Dedicata 214, 383--388 (2021; Zbl 1470.14074) Full Text: DOI arXiv
Hou, Xiang-Dong On the number of affine equivalence classes of Boolean functions and \(q\)-ary functions. (English) Zbl 1486.94167 IEEE Trans. Inf. Theory 67, No. 8, 5592-5601 (2021). MSC: 94B05 94D10 11T71 PDFBibTeX XMLCite \textit{X.-D. Hou}, IEEE Trans. Inf. Theory 67, No. 8, 5592--5601 (2021; Zbl 1486.94167) Full Text: DOI
Kaplan, Nathan; Matei, Vlad Counting plane cubic curves over finite fields with a prescribed number of rational intersection points. (English) Zbl 1473.14045 Eur. J. Math. 7, No. 3, 1137-1181 (2021). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G15 11G20 94B27 14G50 14N10 PDFBibTeX XMLCite \textit{N. Kaplan} and \textit{V. Matei}, Eur. J. Math. 7, No. 3, 1137--1181 (2021; Zbl 1473.14045) Full Text: DOI arXiv
Abbe, Emmanuel; Shpilka, Amir; Ye, Min Reed-Muller codes: theory and algorithms. (English) Zbl 1473.94133 IEEE Trans. Inf. Theory 67, No. 6, Part 1, 3251-3277 (2021). MSC: 94B05 PDFBibTeX XMLCite \textit{E. Abbe} et al., IEEE Trans. Inf. Theory 67, No. 6, Part 1, 3251--3277 (2021; Zbl 1473.94133) Full Text: DOI arXiv
López, Hiram H.; Soprunov, Ivan; Villarreal, Rafael H. The dual of an evaluation code. (English) Zbl 1469.13057 Des. Codes Cryptography 89, No. 7, 1367-1403 (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 13P25 14G50 94B27 11T71 PDFBibTeX XMLCite \textit{H. H. López} et al., Des. Codes Cryptography 89, No. 7, 1367--1403 (2021; Zbl 1469.13057) Full Text: DOI arXiv
Augot, Daniel; Couvreur, Alain; Lavauzelle, Julien; Neri, Alessandro Rank-metric codes over arbitrary Galois extensions and rank analogues of Reed-Muller codes. (English) Zbl 1489.94129 SIAM J. Appl. Algebra Geom. 5, No. 2, 165-199 (2021). Reviewer: Hiram López (Cleveland) MSC: 94B05 11T71 16S35 PDFBibTeX XMLCite \textit{D. Augot} et al., SIAM J. Appl. Algebra Geom. 5, No. 2, 165--199 (2021; Zbl 1489.94129) Full Text: DOI arXiv
Carvalho, Cícero; Neumann, Victor G. L. Completing the determination of the next-to-minimal weights of affine cartesian codes. (English) Zbl 1458.14039 Finite Fields Appl. 69, Article ID 101775, 14 p. (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14G50 11T71 94B60 PDFBibTeX XMLCite \textit{C. Carvalho} and \textit{V. G. L. Neumann}, Finite Fields Appl. 69, Article ID 101775, 14 p. (2021; Zbl 1458.14039) Full Text: DOI
Carvalho, Cícero; Neumann, Victor G. L. Towards the complete determination of next-to-minimal weights of projective Reed-Muller codes. (English) Zbl 1458.14038 Des. Codes Cryptography 89, No. 2, 301-315 (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14G50 94B05 94B27 11T71 PDFBibTeX XMLCite \textit{C. Carvalho} and \textit{V. G. L. Neumann}, Des. Codes Cryptography 89, No. 2, 301--315 (2021; Zbl 1458.14038) Full Text: DOI
Jaramillo, Delio; Vaz Pinto, Maria; Villarreal, Rafael H. Evaluation codes and their basic parameters. (English) Zbl 1456.14034 Des. Codes Cryptography 89, No. 2, 269-300 (2021). Reviewer: David Joyner (Annapolis) MSC: 14G50 94B65 13P25 94B27 11T71 PDFBibTeX XMLCite \textit{D. Jaramillo} et al., Des. Codes Cryptography 89, No. 2, 269--300 (2021; Zbl 1456.14034) Full Text: DOI arXiv
Oblaukhov, Alexey On metric regularity of Reed-Muller codes. (English) Zbl 1469.94139 Des. Codes Cryptography 89, No. 1, 167-197 (2021). MSC: 94B05 94D10 68R01 94A60 PDFBibTeX XMLCite \textit{A. Oblaukhov}, Des. Codes Cryptography 89, No. 1, 167--197 (2021; Zbl 1469.94139) Full Text: DOI arXiv
Srinivasan, Srikanth; Tripathi, Utkarsh; Venkitesh, S. Decoding variants of Reed-Muller codes over finite grids. (English) Zbl 1501.94097 ACM Trans. Comput. Theory 12, No. 4, Article No. 25, 11 p. (2020). MSC: 94B05 94B35 94B65 PDFBibTeX XMLCite \textit{S. Srinivasan} et al., ACM Trans. Comput. Theory 12, No. 4, Article No. 25, 11 p. (2020; Zbl 1501.94097) Full Text: DOI arXiv
González-Sarabia, Manuel; Jaramillo, Delio; Villarreal, Rafael H. On the generalized Hamming weights of certain Reed-Muller-type codes. (English) Zbl 1488.13071 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 1, 205-217 (2020). MSC: 13P25 94B27 PDFBibTeX XMLCite \textit{M. González-Sarabia} et al., An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 1, 205--217 (2020; Zbl 1488.13071) Full Text: DOI arXiv
Oblaukhov, A. K. On metric complements and metric regularity in finite metric spaces. (English) Zbl 1468.94971 Prikl. Diskretn. Mat. 2020, No. 49, 35-45 (2020). MSC: 94D10 94B05 94B75 06E30 PDFBibTeX XMLCite \textit{A. K. Oblaukhov}, Prikl. Diskretn. Mat. 2020, No. 49, 35--45 (2020; Zbl 1468.94971) Full Text: DOI MNR
Abbe, Emmanuel; Ye, Min Reed-Muller codes polarize. (English) Zbl 1457.94068 IEEE Trans. Inf. Theory 66, No. 12, 7311-7332 (2020). MSC: 94A24 94A29 94B05 PDFBibTeX XMLCite \textit{E. Abbe} and \textit{M. Ye}, IEEE Trans. Inf. Theory 66, No. 12, 7311--7332 (2020; Zbl 1457.94068) Full Text: DOI arXiv
Shi, Minjia; Neri, Alessandro; Solé, Patrick How many weights can a quasi-cyclic code have? (English) Zbl 1453.94153 IEEE Trans. Inf. Theory 66, No. 11, 6855-6862 (2020). MSC: 94B15 94B65 PDFBibTeX XMLCite \textit{M. Shi} et al., IEEE Trans. Inf. Theory 66, No. 11, 6855--6862 (2020; Zbl 1453.94153) Full Text: DOI
Hu, Liqin; Feng, Keqin The minimum distance of new generalisations of the punctured binary Reed-Muller codes. (English) Zbl 1446.94193 Cryptogr. Commun. 12, No. 4, 795-808 (2020). MSC: 94B15 94B05 94B65 PDFBibTeX XMLCite \textit{L. Hu} and \textit{K. Feng}, Cryptogr. Commun. 12, No. 4, 795--808 (2020; Zbl 1446.94193) Full Text: DOI arXiv
Ball, Simeon A course in algebraic error-correcting codes. (English) Zbl 1454.94142 Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-41152-7/pbk; 978-3-030-41153-4/ebook). xiii, 177 p. (2020). Reviewer: Matteo Bonini (Trento) MSC: 94Bxx 94-01 PDFBibTeX XMLCite \textit{S. Ball}, A course in algebraic error-correcting codes. Cham: Birkhäuser (2020; Zbl 1454.94142) Full Text: DOI
Beame, Paul; Gharan, Shayan Oveis; Yang, Xin On the bias of Reed-Muller codes over odd prime fields. (English) Zbl 1454.94119 SIAM J. Discrete Math. 34, No. 2, 1232-1247 (2020). MSC: 94B05 11T06 11T71 PDFBibTeX XMLCite \textit{P. Beame} et al., SIAM J. Discrete Math. 34, No. 2, 1232--1247 (2020; Zbl 1454.94119) Full Text: DOI arXiv
Ding, Cunsheng; Tang, Chunming; Tonchev, Vladimir D. Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes. (English) Zbl 1454.94123 Des. Codes Cryptography 88, No. 4, 625-641 (2020). MSC: 94B05 94B15 05B30 PDFBibTeX XMLCite \textit{C. Ding} et al., Des. Codes Cryptography 88, No. 4, 625--641 (2020; Zbl 1454.94123) Full Text: DOI arXiv
Yan, Haode; Tang, Deng Improving lower bounds on the second-order nonlinearity of three classes of Boolean functions. (English) Zbl 1468.94977 Discrete Math. 343, No. 5, Article ID 111698, 11 p. (2020). MSC: 94D10 06E30 94B05 94B75 PDFBibTeX XMLCite \textit{H. Yan} and \textit{D. Tang}, Discrete Math. 343, No. 5, Article ID 111698, 11 p. (2020; Zbl 1468.94977) Full Text: DOI
Schmidt, Kai-Uwe Highly nonlinear functions over finite fields. (English) Zbl 1475.94197 Finite Fields Appl. 63, Article ID 101640, 19 p. (2020). MSC: 94B05 11T71 94B25 05D40 PDFBibTeX XMLCite \textit{K.-U. Schmidt}, Finite Fields Appl. 63, Article ID 101640, 19 p. (2020; Zbl 1475.94197) Full Text: DOI arXiv
Martínez-Bernal, José; Valencia-Bucio, Miguel A.; Villarreal, Rafael H. Generalized Hamming weights of projective Reed-Muller-type codes over graphs. (English) Zbl 1434.94109 Discrete Math. 343, No. 1, Article ID 111639, 9 p. (2020). MSC: 94B25 PDFBibTeX XMLCite \textit{J. Martínez-Bernal} et al., Discrete Math. 343, No. 1, Article ID 111639, 9 p. (2020; Zbl 1434.94109) Full Text: DOI arXiv
Krotov, D. S.; Potapov, V. N. On the cardinality spectrum and the number of Latin bitrades of order 3. (English. Russian original) Zbl 1467.94051 Probl. Inf. Transm. 55, No. 4, 343-365 (2019); translation from Probl. Peredachi Inf. 55, No. 4, 52-75 (2019). MSC: 94B05 94B25 PDFBibTeX XMLCite \textit{D. S. Krotov} and \textit{V. N. Potapov}, Probl. Inf. Transm. 55, No. 4, 343--365 (2019; Zbl 1467.94051); translation from Probl. Peredachi Inf. 55, No. 4, 52--75 (2019) Full Text: DOI arXiv
Zheng, Liang; Han, Donglei; Liu, Zongbin; Ma, Cunqing; Zhang, Lingchen; Tang, Churan A low overhead error correction algorithm using random permutation for SRAM PUFs. (English) Zbl 1439.94077 Jang-Jaccard, Julian (ed.) et al., Information security and privacy. 24th Australasian conference, ACISP 2019, Christchurch, New Zealand, July 3–5, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11547, 475-493 (2019). MSC: 94A60 PDFBibTeX XMLCite \textit{L. Zheng} et al., Lect. Notes Comput. Sci. 11547, 475--493 (2019; Zbl 1439.94077) Full Text: DOI
González-Sarabia, Manuel; Martínez-Bernal, José; Villarreal, Rafael H.; Vivares, Carlos E. Generalized minimum distance functions. (English) Zbl 1430.13049 J. Algebr. Comb. 50, No. 3, 317-346 (2019). Reviewer: Felipe Zaldívar (Mexico City) MSC: 13P25 14G50 94B27 11T71 PDFBibTeX XMLCite \textit{M. González-Sarabia} et al., J. Algebr. Comb. 50, No. 3, 317--346 (2019; Zbl 1430.13049) Full Text: DOI arXiv
Carlet, Claude; Li, Chengju; Mesnager, Sihem Some (almost) optimally extendable linear codes. (English) Zbl 1423.94144 Des. Codes Cryptography 87, No. 12, 2813-2834 (2019). MSC: 94B05 94B15 11T71 PDFBibTeX XMLCite \textit{C. Carlet} et al., Des. Codes Cryptography 87, No. 12, 2813--2834 (2019; Zbl 1423.94144) Full Text: DOI
Wang, Qichun The covering radius of the Reed-Muller code \(\text{RM}(2, 7)\) is \(40\). (English) Zbl 1421.94118 Discrete Math. 342, No. 12, Article ID 111625, 7 p. (2019). MSC: 94B25 94B75 PDFBibTeX XMLCite \textit{Q. Wang}, Discrete Math. 342, No. 12, Article ID 111625, 7 p. (2019; Zbl 1421.94118) Full Text: DOI arXiv
Carvalho, Cícero; Ramírez-Mondragón, Xavier; Neumann, Victor G. L.; Tapia-Recillas, Horacio Projective Reed-Muller type codes on higher dimensional scrolls. (English) Zbl 1419.94089 Des. Codes Cryptography 87, No. 9, 2027-2042 (2019). MSC: 94B60 11T71 14G50 PDFBibTeX XMLCite \textit{C. Carvalho} et al., Des. Codes Cryptography 87, No. 9, 2027--2042 (2019; Zbl 1419.94089) Full Text: DOI
Li, Shuxing On the weight distribution of second order Reed-Muller codes and their relatives. (English) Zbl 1419.94071 Des. Codes Cryptography 87, No. 10, 2447-2460 (2019). MSC: 94B05 11E04 11T71 PDFBibTeX XMLCite \textit{S. Li}, Des. Codes Cryptography 87, No. 10, 2447--2460 (2019; Zbl 1419.94071) Full Text: DOI arXiv
Solov’eva, Faina Ivanovna On transitive uniform partitions of \(F^n\) into binary Hamming codes. (English) Zbl 1472.94086 Sib. Èlektron. Mat. Izv. 16, 886-892 (2019). MSC: 94B05 PDFBibTeX XMLCite \textit{F. I. Solov'eva}, Sib. Èlektron. Mat. Izv. 16, 886--892 (2019; Zbl 1472.94086) Full Text: DOI arXiv
Amy, Matthew; Mosca, Michele T-count optimization and Reed-Muller codes. (English) Zbl 1432.94189 IEEE Trans. Inf. Theory 65, No. 8, 4771-4784 (2019). MSC: 94B25 94B35 94C11 PDFBibTeX XMLCite \textit{M. Amy} and \textit{M. Mosca}, IEEE Trans. Inf. Theory 65, No. 8, 4771--4784 (2019; Zbl 1432.94189) Full Text: DOI arXiv
Coxon, Nicholas Fast systematic encoding of multiplicity codes. (English) Zbl 1436.94122 J. Symb. Comput. 94, 234-254 (2019). MSC: 94B60 PDFBibTeX XMLCite \textit{N. Coxon}, J. Symb. Comput. 94, 234--254 (2019; Zbl 1436.94122) Full Text: DOI arXiv
Borello, Martino; Mila, Olivier Symmetries of weight enumerators and applications to Reed-Muller codes. (English) Zbl 1415.94476 Adv. Math. Commun. 13, No. 2, 313-328 (2019). Reviewer: Steven T. Dougherty (Scranton) MSC: 94B05 13A50 94B60 PDFBibTeX XMLCite \textit{M. Borello} and \textit{O. Mila}, Adv. Math. Commun. 13, No. 2, 313--328 (2019; Zbl 1415.94476) Full Text: DOI arXiv
Wang, Qichun; Stănică, Pantelimon New bounds on the covering radius of the second order Reed-Muller code of length 128. (English) Zbl 1409.94947 Cryptogr. Commun. 11, No. 2, 269-277 (2019). MSC: 94B65 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{P. Stănică}, Cryptogr. Commun. 11, No. 2, 269--277 (2019; Zbl 1409.94947) Full Text: DOI
Baumbaugh, Travis; Diaz, Yariana; Friesenhahn, Sophia; Manganiello, Felice; Vetter, Alexander Batch codes from Hamming and Reed-Muller codes. (English) Zbl 1428.14043 J. Algebra Comb. Discrete Struct. Appl. 5, No. 3, 153-165 (2018). Reviewer: Fernando Hernando (Castellón) MSC: 94B05 PDFBibTeX XMLCite \textit{T. Baumbaugh} et al., J. Algebra Comb. Discrete Struct. Appl. 5, No. 3, 153--165 (2018; Zbl 1428.14043) Full Text: arXiv
Martínez-Bernal, José; Pitones, Yuriko; Villarreal, Rafael H. Minimum distance functions of complete intersections. (English) Zbl 1404.13034 J. Algebra Appl. 17, No. 11, Article ID 1850204, 22 p. (2018). Reviewer: Steven T. Dougherty (Scranton) MSC: 13P25 94B60 11T71 PDFBibTeX XMLCite \textit{J. Martínez-Bernal} et al., J. Algebra Appl. 17, No. 11, Article ID 1850204, 22 p. (2018; Zbl 1404.13034) Full Text: DOI arXiv
Munuera, Carlos; Tenório, Wanderson Locally recoverable codes from rational maps. (English) Zbl 1401.94242 Finite Fields Appl. 54, 80-100 (2018). MSC: 94B27 11G20 11T71 14G50 94B05 PDFBibTeX XMLCite \textit{C. Munuera} and \textit{W. Tenório}, Finite Fields Appl. 54, 80--100 (2018; Zbl 1401.94242) Full Text: DOI arXiv
Ding, Cunsheng; Li, Chunlei; Xia, Yongbo Another generalisation of the binary Reed-Muller codes and its applications. (English) Zbl 1393.94928 Finite Fields Appl. 53, 144-174 (2018). MSC: 94B05 94B15 05B05 PDFBibTeX XMLCite \textit{C. Ding} et al., Finite Fields Appl. 53, 144--174 (2018; Zbl 1393.94928) Full Text: DOI
Limniotis, Konstantinos; Kolokotronis, Nicholas Boolean functions with maximum algebraic immunity: further extensions of the Carlet-Feng construction. (English) Zbl 1402.94063 Des. Codes Cryptography 86, No. 8, 1685-1706 (2018). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{K. Limniotis} and \textit{N. Kolokotronis}, Des. Codes Cryptography 86, No. 8, 1685--1706 (2018; Zbl 1402.94063) Full Text: DOI
Quan, Dong-Xiao; Zhu, Li-Li; Pei, Chang-Xing; Sanders, Barry C. Fault-tolerant conversion between adjacent Reed-Muller quantum codes based on gauge fixing. (English) Zbl 1390.81125 J. Phys. A, Math. Theor. 51, No. 11, Article ID 115305, 16 p. (2018). MSC: 81P70 81P68 94B60 94C05 68M15 PDFBibTeX XMLCite \textit{D.-X. Quan} et al., J. Phys. A, Math. Theor. 51, No. 11, Article ID 115305, 16 p. (2018; Zbl 1390.81125) Full Text: DOI arXiv
Castro, Francis N.; Medina, Luis A.; Rubio, Ivelisse M. Exact 2-divisibility of exponential sums associated to Boolean functions. (English) Zbl 1390.05239 Cryptogr. Commun. 10, No. 4, 655-666 (2018). MSC: 05E05 11T23 94D10 94B05 PDFBibTeX XMLCite \textit{F. N. Castro} et al., Cryptogr. Commun. 10, No. 4, 655--666 (2018; Zbl 1390.05239) Full Text: DOI
Carvalho, Cícero; Neumann, Victor G. L. On the next-to-minimal weight of projective Reed-Muller codes. (English) Zbl 1402.94079 Finite Fields Appl. 50, 382-390 (2018). MSC: 94B05 94B27 11T71 14G50 PDFBibTeX XMLCite \textit{C. Carvalho} and \textit{V. G. L. Neumann}, Finite Fields Appl. 50, 382--390 (2018; Zbl 1402.94079) Full Text: DOI arXiv
Kavut, Selçuk; Maitra, Subhamoy; Özbudak, Ferruh A super-set of Patterson-Wiedemann functions: upper bounds and possible nonlinearities. (English) Zbl 1409.94884 SIAM J. Discrete Math. 32, No. 1, 106-122 (2018). MSC: 94A60 94B05 94B75 94D10 PDFBibTeX XMLCite \textit{S. Kavut} et al., SIAM J. Discrete Math. 32, No. 1, 106--122 (2018; Zbl 1409.94884) Full Text: DOI
Kim, John Y.; Kopparty, Swastik Decoding Reed-Muller codes over product sets. (English) Zbl 1420.94114 Theory Comput. 13, Paper No. 21, 38 p. (2017). MSC: 94B35 11T71 68W30 PDFBibTeX XMLCite \textit{J. Y. Kim} and \textit{S. Kopparty}, Theory Comput. 13, Paper No. 21, 38 p. (2017; Zbl 1420.94114) Full Text: DOI
Abdón, Miriam; Rolland, Robert Hamming distances from a function to all codewords of a generalized Reed-Muller code of order one. (English) Zbl 1386.94099 Appl. Algebra Eng. Commun. Comput. 28, No. 5, 387-408 (2017). MSC: 94B05 11T71 PDFBibTeX XMLCite \textit{M. Abdón} and \textit{R. Rolland}, Appl. Algebra Eng. Commun. Comput. 28, No. 5, 387--408 (2017; Zbl 1386.94099) Full Text: DOI arXiv
Li, Shuxing The minimum distance of some narrow-sense primitive BCH codes. (English) Zbl 1420.94112 SIAM J. Discrete Math. 31, No. 4, 2530-2569 (2017). MSC: 94B15 05E30 PDFBibTeX XMLCite \textit{S. Li}, SIAM J. Discrete Math. 31, No. 4, 2530--2569 (2017; Zbl 1420.94112) Full Text: DOI arXiv
Grigorescu, Elena; Peikert, Chris List-decoding Barnes-Wall lattices. (English) Zbl 1405.94133 Comput. Complexity 26, No. 2, 365-392 (2017). MSC: 94B35 68Q25 94B25 94B75 PDFBibTeX XMLCite \textit{E. Grigorescu} and \textit{C. Peikert}, Comput. Complexity 26, No. 2, 365--392 (2017; Zbl 1405.94133) Full Text: DOI arXiv
Geil, Olav; Martin, Stefano Relative generalized Hamming weights of \(q\)-ary Reed-Muller codes. (English) Zbl 1418.94073 Adv. Math. Commun. 11, No. 3, 503-531 (2017). MSC: 94B05 94A62 94B65 PDFBibTeX XMLCite \textit{O. Geil} and \textit{S. Martin}, Adv. Math. Commun. 11, No. 3, 503--531 (2017; Zbl 1418.94073) Full Text: DOI arXiv
Carvalho, Cícero; Neumann, Victor G. L.; López, Hiram H. Projective nested Cartesian codes. (English) Zbl 1386.14099 Bull. Braz. Math. Soc. (N.S.) 48, No. 2, 283-302 (2017). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G50 11T71 94B27 PDFBibTeX XMLCite \textit{C. Carvalho} et al., Bull. Braz. Math. Soc. (N.S.) 48, No. 2, 283--302 (2017; Zbl 1386.14099) Full Text: DOI arXiv
Arnold, Stefan Identifying generalized Reed-Muller codewords by quantum queries. (English) Zbl 1368.81061 Int. J. Found. Comput. Sci. 28, No. 2, 185-194 (2017). MSC: 81P68 81P94 94B05 94B65 PDFBibTeX XMLCite \textit{S. Arnold}, Int. J. Found. Comput. Sci. 28, No. 2, 185--194 (2017; Zbl 1368.81061) Full Text: DOI
Datta, Mrinmoy; Ghorpade, Sudhir R. Remarks on the Tsfasman-Boguslavsky conjecture and higher weights of projective Reed-Muller codes. (English) Zbl 1367.14008 Bassa, Alp (ed.) et al., Arithmetic, geometry, cryptography and coding theory. 15th international conference on arithmetic, geometry, cryptography, and coding theory (AGCT), CIRM, Luminy, France, May 18–22, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2810-5/pbk; 978-1-4704-3745-9/ebook). Contemporary Mathematics 686, 157-169 (2017). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14G15 11G25 14G05 11T71 94B27 51E20 PDFBibTeX XMLCite \textit{M. Datta} and \textit{S. R. Ghorpade}, Contemp. Math. 686, 157--169 (2017; Zbl 1367.14008) Full Text: DOI arXiv
Key, J. D.; McDonough, T. P.; Mavron, V. C. Improved partial permutation decoding for Reed-Muller codes. (English) Zbl 1393.94931 Discrete Math. 340, No. 4, 722-728 (2017). MSC: 94B05 94B35 PDFBibTeX XMLCite \textit{J. D. Key} et al., Discrete Math. 340, No. 4, 722--728 (2017; Zbl 1393.94931) Full Text: DOI
Carvalho, Cícero; Neumann, Victor G. L. On the next-to-minimal weight of affine Cartesian codes. (English) Zbl 1354.14040 Finite Fields Appl. 44, 113-134 (2017). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G50 94B60 13P10 11T71 PDFBibTeX XMLCite \textit{C. Carvalho} and \textit{V. G. L. Neumann}, Finite Fields Appl. 44, 113--134 (2017; Zbl 1354.14040) Full Text: DOI
Pankaj, N. Rajeev; Venugopal, P.; Mortha, Prasanthi Design of quantum cost efficient reversible multiplier using Reed-Muller expressions. (English) Zbl 1453.94147 Int. J. Comput. Sci. Math. 7, No. 3, 221-228 (2016). MSC: 94B05 81P70 PDFBibTeX XMLCite \textit{N. R. Pankaj} et al., Int. J. Comput. Sci. Math. 7, No. 3, 221--228 (2016; Zbl 1453.94147) Full Text: DOI
Deundyak, Vladimir Mikhaĭlovich; Mogilevskaya, Nadezhda Sergeevna On correctness conditions of a soft-decisions decoder for ternary Reed-Muller codes of second order. (Russian. English summary) Zbl 1488.94098 Vladikavkaz. Mat. Zh. 18, No. 4, 23-33 (2016). MSC: 94B05 94B35 PDFBibTeX XMLCite \textit{V. M. Deundyak} and \textit{N. S. Mogilevskaya}, Vladikavkaz. Mat. Zh. 18, No. 4, 23--33 (2016; Zbl 1488.94098) Full Text: MNR
Kim, John Y.; Kopparty, Swastik Decoding Reed-Muller codes over product sets. (English) Zbl 1380.94148 Raz, Ran (ed.), 31st conference on computational complexity, CCC’16, Tokyo, Japan, May 29 – June 1, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-008-8). LIPIcs – Leibniz International Proceedings in Informatics 50, Article 11, 28 p. (2016). MSC: 94B35 68W40 94B05 PDFBibTeX XMLCite \textit{J. Y. Kim} and \textit{S. Kopparty}, LIPIcs -- Leibniz Int. Proc. Inform. 50, Article 11, 28 p. (2016; Zbl 1380.94148) Full Text: DOI arXiv
Kudekar, Shrinivas; Kumar, Santhosh; Mondelli, Marco; Pfister, Henry D.; Şaşoğlu, Eren; Urbanke, Rüdiger Reed-Muller codes achieve capacity on erasure channels. (English) Zbl 1377.94073 Wichs, Daniel (ed.) et al., Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC ’16, Cambridge, MA, USA, June 19–21, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4132-5). 658-669 (2016). MSC: 94B05 94B35 PDFBibTeX XMLCite \textit{S. Kudekar} et al., in: Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC '16, Cambridge, MA, USA, June 19--21, 2016. New York, NY: Association for Computing Machinery (ACM). 658--669 (2016; Zbl 1377.94073) Full Text: DOI
Saptharishi, Ramprasad; Shpilka, Amir; Volk, Ben Lee Efficiently decoding Reed-Muller codes from random errors. (English) Zbl 1377.94076 Wichs, Daniel (ed.) et al., Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC ’16, Cambridge, MA, USA, June 19–21, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4132-5). 227-235 (2016). MSC: 94B35 94B05 PDFBibTeX XMLCite \textit{R. Saptharishi} et al., in: Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC '16, Cambridge, MA, USA, June 19--21, 2016. New York, NY: Association for Computing Machinery (ACM). 227--235 (2016; Zbl 1377.94076) Full Text: DOI arXiv
Kavut, Selçuk; Maitra, Subhamoy; Özbudak, Ferruh A super-set of Patterson-Wiedemann functions – upper bounds and possible nonlinearities. (English) Zbl 1409.94883 Duquesne, Sylvain (ed.) et al., Arithmetic of finite fields. 6th international workshop, WAIFI 2016, Ghent, Belgium, July 13–15, 2016. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10064, 227-242 (2016). MSC: 94A60 11T71 06E30 94B05 94B75 PDFBibTeX XMLCite \textit{S. Kavut} et al., Lect. Notes Comput. Sci. 10064, 227--242 (2016; Zbl 1409.94883) Full Text: DOI