Du, Jiao; Li, Lin; Fu, Shaojing; Qu, Longjiang; Li, Chao Constructions of 2-resilient rotation symmetric Boolean functions with odd number of variables. (English) Zbl 07811878 Theor. Comput. Sci. 991, Article ID 114429, 11 p. (2024). MSC: 68Qxx PDFBibTeX XMLCite \textit{J. Du} et al., Theor. Comput. Sci. 991, Article ID 114429, 11 p. (2024; Zbl 07811878) Full Text: DOI
Niu, Tailin; Li, Kangquan; Qu, Longjiang; Li, Chao Characterizations and constructions of \(n\)-to-1 mappings over finite fields. (English) Zbl 1520.11099 Finite Fields Appl. 85, Article ID 102126, 29 p. (2023). MSC: 11T06 PDFBibTeX XMLCite \textit{T. Niu} et al., Finite Fields Appl. 85, Article ID 102126, 29 p. (2023; Zbl 1520.11099) Full Text: DOI arXiv
Du, Jiao; Chen, Ziyu; Fu, Shaojing; Qu, Longjiang; Li, Chao Constructions of 2-resilient rotation symmetric Boolean functions through symbol transformations of cyclic Hadamard matrix. (English) Zbl 1492.94242 Theor. Comput. Sci. 919, 80-91 (2022). MSC: 94D10 94A60 15B34 PDFBibTeX XMLCite \textit{J. Du} et al., Theor. Comput. Sci. 919, 80--91 (2022; Zbl 1492.94242) Full Text: DOI
Canteaut, Anne; Kölsch, Lukas; Li, Chao; Li, Chunlei; Li, Kangquan; Qu, Longjiang; Wiemer, Friedrich Autocorrelations of vectorial Boolean functions. (English) Zbl 1495.94047 Longa, Patrick (ed.) et al., Progress in cryptology – LATINCRYPT 2021. 7th international conference on cryptology and information security in Latin America, Bogotá, Colombia, October 6–8, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12912, 233-253 (2021). MSC: 94A60 94D10 PDFBibTeX XMLCite \textit{A. Canteaut} et al., Lect. Notes Comput. Sci. 12912, 233--253 (2021; Zbl 1495.94047) Full Text: DOI Link
Wang, Shixiong; Qu, Longjiang; Li, Chao; Fu, Shaojing; Chen, Hao Finding small solutions of the equation \(Bx-Ay=z\) and its applications to cryptanalysis of the RSA cryptosystem. (English) Zbl 1472.11315 Adv. Math. Commun. 15, No. 3, 441-469 (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y05 94A60 PDFBibTeX XMLCite \textit{S. Wang} et al., Adv. Math. Commun. 15, No. 3, 441--469 (2021; Zbl 1472.11315) Full Text: DOI
Wan, Qianhong; Qu, Longjiang; Li, Chao On equivalence between known polynomial APN functions and power APN functions. (English) Zbl 1460.94067 Finite Fields Appl. 71, Article ID 101762, 21 p. (2021). MSC: 94A60 94D10 11T71 PDFBibTeX XMLCite \textit{Q. Wan} et al., Finite Fields Appl. 71, Article ID 101762, 21 p. (2021; Zbl 1460.94067) Full Text: DOI
Li, Yubo; Li, Kangquan; Qu, Longjiang; Li, Chao Further study of planar functions in characteristic two. (English) Zbl 1470.11312 J. Algebra 573, 712-740 (2021). Reviewer: Matteo Bonini (Dublin) MSC: 11T06 11G20 12E05 11T71 94A60 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Algebra 573, 712--740 (2021; Zbl 1470.11312) Full Text: DOI arXiv
Chen, Xi; Qu, Longjiang; Fu, Shaojing; Li, Chao The number of affine equivalent classes and extended affine equivalent classes of vectorial Boolean functions. (English) Zbl 1460.94101 Discrete Appl. Math. 289, 477-491 (2021). MSC: 94D10 94A60 06E30 PDFBibTeX XMLCite \textit{X. Chen} et al., Discrete Appl. Math. 289, 477--491 (2021; Zbl 1460.94101) Full Text: DOI
Xu, Liqing; Chen, Hao; Li, Chao; Qu, Longjiang Vulnerable public keys in NTRU cryptosystem. (English) Zbl 1459.94148 Chin. Ann. Math., Ser. B 41, No. 5, 657-664 (2020). MSC: 94A60 11H06 PDFBibTeX XMLCite \textit{L. Xu} et al., Chin. Ann. Math., Ser. B 41, No. 5, 657--664 (2020; Zbl 1459.94148) Full Text: DOI
Sun, Minghao; Qu, Longjiang; Li, Chao PBKZ algorithm and its application in lattice challenge. (Chinese. English summary) Zbl 1474.81020 J. Henan Norm. Univ., Nat. Sci. 48, No. 5, 1-8 (2020). MSC: 81P94 PDFBibTeX XMLCite \textit{M. Sun} et al., J. Henan Norm. Univ., Nat. Sci. 48, No. 5, 1--8 (2020; Zbl 1474.81020) Full Text: DOI
Li, Kangquan; Qu, Longjiang; Li, Chao; Chen, Hao On a conjecture about a class of permutation quadrinomials. (English) Zbl 1478.11146 Finite Fields Appl. 66, Article ID 101690, 19 p. (2020). MSC: 11T06 PDFBibTeX XMLCite \textit{K. Li} et al., Finite Fields Appl. 66, Article ID 101690, 19 p. (2020; Zbl 1478.11146) Full Text: DOI arXiv
Du, Jiao; Qu, Longjiang; Li, Chao; Liao, Xin Constructing 1-resilient rotation symmetric functions over \(\mathbb{F}_p\) with \(q\) variables through special orthogonal arrays. (English) Zbl 1440.05049 Adv. Math. Commun. 14, No. 2, 247-263 (2020). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05B15 06E30 05E05 94A60 PDFBibTeX XMLCite \textit{J. Du} et al., Adv. Math. Commun. 14, No. 2, 247--263 (2020; Zbl 1440.05049) Full Text: DOI
Li, Kangquan; Qu, Longjiang; Sun, Bing; Li, Chao New results about the boomerang uniformity of permutation polynomials. (English) Zbl 1433.94088 IEEE Trans. Inf. Theory 65, No. 11, 7542-7553 (2019). MSC: 94A60 11T06 PDFBibTeX XMLCite \textit{K. Li} et al., IEEE Trans. Inf. Theory 65, No. 11, 7542--7553 (2019; Zbl 1433.94088) Full Text: DOI arXiv
Wang, Shixiong; Qu, Longjiang; Li, Chao; Wang, Huaxiong Further improvement of factoring \(N=p^rq^s\) with partial known bits. (English) Zbl 1405.11153 Adv. Math. Commun. 13, No. 1, 121-135 (2019). MSC: 11Y05 94A60 PDFBibTeX XMLCite \textit{S. Wang} et al., Adv. Math. Commun. 13, No. 1, 121--135 (2019; Zbl 1405.11153) Full Text: DOI
Liu, Yunwen; Qu, Longjiang; Li, Chao New constructions of systematic authentication codes from three classes of cyclic codes. (English) Zbl 1414.94936 Adv. Math. Commun. 12, No. 1, 1-16 (2018). MSC: 94B15 94A62 PDFBibTeX XMLCite \textit{Y. Liu} et al., Adv. Math. Commun. 12, No. 1, 1--16 (2018; Zbl 1414.94936) Full Text: DOI
Li, Kangquan; Qu, Longjiang; Li, Chao; Fu, Shaojing New permutation trinomials constructed from fractional polynomials. (English) Zbl 1402.05004 Acta Arith. 183, No. 2, 101-116 (2018). Reviewer: Margherita Maria Ferrari (Tampa) MSC: 11T06 PDFBibTeX XMLCite \textit{K. Li} et al., Acta Arith. 183, No. 2, 101--116 (2018; Zbl 1402.05004) Full Text: DOI arXiv
Li, Kangquan; Qu, Longjiang; Chen, Xi; Li, Chao Permutation polynomials of the form \(cx+\mathrm{Tr}_{q^l/ q}(x^a)\) and permutation trinomials over finite fields with even characteristic. (English) Zbl 1382.11091 Cryptogr. Commun. 10, No. 3, 531-554 (2018). MSC: 11T06 PDFBibTeX XMLCite \textit{K. Li} et al., Cryptogr. Commun. 10, No. 3, 531--554 (2018; Zbl 1382.11091) Full Text: DOI
Chen, Xi; Qu, Longjiang; Li, Chao The structure of the equation over finite fields with \(n\) unknowns and with degree \(n\) which vanish only at zero. (Chinese. English summary) Zbl 1389.12004 J. Math., Wuhan Univ. 37, No. 1, 138-144 (2017). MSC: 12E12 12E20 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Math., Wuhan Univ. 37, No. 1, 138--144 (2017; Zbl 1389.12004)
Li, Chao; Wang, Shixiong; Qu, Longjiang; Fu, Shaojing Lattice-based cryptanalysis of RSA cryptosystem. (Chinese. English summary) Zbl 1389.94096 J. Henan Norm. Univ., Nat. Sci. 45, No. 3, 1-13 (2017). MSC: 94A60 PDFBibTeX XMLCite \textit{C. Li} et al., J. Henan Norm. Univ., Nat. Sci. 45, No. 3, 1--13 (2017; Zbl 1389.94096) Full Text: DOI
Chen, Xi; Qu, Longjiang; Li, Chao; Du, Jiao A new method to investigate the CCZ-equivalence between functions with low differential uniformity. (English) Zbl 1359.94575 Finite Fields Appl. 42, 165-186 (2016). Reviewer: Ioan Tomescu (Bucureşti) MSC: 94A60 06E30 11T06 PDFBibTeX XMLCite \textit{X. Chen} et al., Finite Fields Appl. 42, 165--186 (2016; Zbl 1359.94575) Full Text: DOI
Deng, Yazhi; Qu, Longjiang; Li, Chao Calculation and construction of permutations with low differential uniformity over finite fields. (Chinese. English summary) Zbl 1363.94113 Math. Pract. Theory 46, No. 7, 174-180 (2016). MSC: 94C10 11T71 PDFBibTeX XMLCite \textit{Y. Deng} et al., Math. Pract. Theory 46, No. 7, 174--180 (2016; Zbl 1363.94113)
Qu, Longjiang; Tan, Yin; Li, Chao; Gong, Guang More constructions of differentially 4-uniform permutations on \(\mathbb {F}_{2^{2k}}\). (English) Zbl 1401.94239 Des. Codes Cryptography 78, No. 2, 391-408 (2016). MSC: 94B25 94A60 PDFBibTeX XMLCite \textit{L. Qu} et al., Des. Codes Cryptography 78, No. 2, 391--408 (2016; Zbl 1401.94239) Full Text: DOI arXiv
Xiong, Hai; Qu, Longjiang; Li, Chao 2-adic complexity of binary sequences with interleaved structure. (English) Zbl 1368.94080 Finite Fields Appl. 33, 14-28 (2015). MSC: 94A55 11B50 PDFBibTeX XMLCite \textit{H. Xiong} et al., Finite Fields Appl. 33, 14--28 (2015; Zbl 1368.94080) Full Text: DOI
Xiong, Hai; Qu, Longjiang; Li, Chao Further results on the compression maps of primitive sequences over \(\mathbb{Z}/(p^e)\). (Chinese. English summary) Zbl 1479.11042 Sci. Sin., Math. 44, No. 4, 369-379 (2014). MSC: 11B50 11B37 94A55 94A60 PDFBibTeX XMLCite \textit{H. Xiong} et al., Sci. Sin., Math. 44, No. 4, 369--379 (2014; Zbl 1479.11042) Full Text: DOI
Xiong, Hai; Qu, Longjiang; Li, Chao A new method to compute the 2-adic complexity of binary sequences. (English) Zbl 1360.94289 IEEE Trans. Inf. Theory 60, No. 4, 2399-2406 (2014). MSC: 94A55 PDFBibTeX XMLCite \textit{H. Xiong} et al., IEEE Trans. Inf. Theory 60, No. 4, 2399--2406 (2014; Zbl 1360.94289) Full Text: DOI arXiv
Fu, Shaojing; Li, Chao; Qu, Longjiang A recursive construction of highly nonlinear resilient vectorial functions. (English) Zbl 1339.94042 Inf. Sci. 269, 388-396 (2014). MSC: 94A60 68P25 PDFBibTeX XMLCite \textit{S. Fu} et al., Inf. Sci. 269, 388--396 (2014; Zbl 1339.94042) Full Text: DOI
Qu, Longjiang; Tan, Yin; Li, Chao On the Walsh spectrum of a family of quadratic APN functions with five terms. (English) Zbl 1357.94059 Sci. China, Inf. Sci. 57, No. 2, Article ID 028104, 7 p. (2014). MSC: 94A55 11T71 PDFBibTeX XMLCite \textit{L. Qu} et al., Sci. China, Inf. Sci. 57, No. 2, Article ID 028104, 7 p. (2014; Zbl 1357.94059) Full Text: DOI Link
Chen, Xi; Qu, Longjiang; Hai, Xin; Li, Chao Chess game and an algorithm for the factorization of polynomials over \(\mathbb F_2\). (Chinese. English summary) Zbl 1340.00001 Math. Pract. Theory 44, No. 6, 210-215 (2014). MSC: 00A08 12D05 PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Pract. Theory 44, No. 6, 210--215 (2014; Zbl 1340.00001)
Xiong, Hai; Qu, Longjiang; Li, Chao; Li, Ying Some results on the differential functions over finite fields. (English) Zbl 1384.11101 Appl. Algebra Eng. Commun. Comput. 25, No. 3, 189-195 (2014). MSC: 11T06 94A60 11T71 PDFBibTeX XMLCite \textit{H. Xiong} et al., Appl. Algebra Eng. Commun. Comput. 25, No. 3, 189--195 (2014; Zbl 1384.11101) Full Text: DOI
Xiong, Hai; Qu, Longjiang; Li, Chao New construction of perfect sequence set and low correlation zone sequence set. (English) Zbl 1488.94079 Sci. China, Inf. Sci. 56, No. 11, Article ID 110906, 8 p. (2013). MSC: 94A55 PDFBibTeX XMLCite \textit{H. Xiong} et al., Sci. China, Inf. Sci. 56, No. 11, Article ID 110906, 8 p. (2013; Zbl 1488.94079) Full Text: DOI
Fu, Shaojing; Li, Chao; Matsuura, Kanta; Qu, Longjiang Construction of even-variable rotation symmetric Boolean functions with maximum algebraic immunity. (English) Zbl 1499.94079 Sci. China, Inf. Sci. 56, No. 3, Article ID 032106, 9 p. (2013). MSC: 94D10 PDFBibTeX XMLCite \textit{S. Fu} et al., Sci. China, Inf. Sci. 56, No. 3, Article ID 032106, 9 p. (2013; Zbl 1499.94079) Full Text: DOI
Qu, Longjiang; Tan, Yin; Tan, Chik How; Li, Chao Constructing differentially 4-uniform permutations over \(\mathbb F_{2^{2k}}\) via the switching method. (English) Zbl 1364.94565 IEEE Trans. Inf. Theory 59, No. 7, 4675-4686 (2013). MSC: 94A60 PDFBibTeX XMLCite \textit{L. Qu} et al., IEEE Trans. Inf. Theory 59, No. 7, 4675--4686 (2013; Zbl 1364.94565) Full Text: DOI
Qu, Longjiang; Xiong, Hai; Li, Chao A negative answer to Bracken-Tan-Tan’s problem on differentially 4-uniform permutations over \(\mathbb F_2n\). (English) Zbl 1284.94102 Finite Fields Appl. 24, 55-65 (2013). MSC: 94A60 06E30 11T06 11T71 PDFBibTeX XMLCite \textit{L. Qu} et al., Finite Fields Appl. 24, 55--65 (2013; Zbl 1284.94102) Full Text: DOI
Qu, Longjiang; Li, Chao; Dai, Qingping; Kong, Zhiyin On the differential uniformities of functions over finite fields. (English) Zbl 1303.94100 Sci. China, Math. 56, No. 7, 1477-1484 (2013). MSC: 94A60 11T06 06E30 PDFBibTeX XMLCite \textit{L. Qu} et al., Sci. China, Math. 56, No. 7, 1477--1484 (2013; Zbl 1303.94100) Full Text: DOI
Tan, Yin; Qu, Longjiang; Tan, Chik How; Li, Chao New families of differentially 4-uniform permutations over \({\mathbb F}_{2^{2k}}\). (English) Zbl 1290.94034 Helleseth, Tor (ed.) et al., Sequences and their applications – SETA 2012. 7th international conference, Waterloo, ON, Canada, June 4–8, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-30614-3/pbk). Lecture Notes in Computer Science 7280, 25-39 (2012). MSC: 94A55 11T06 PDFBibTeX XMLCite \textit{Y. Tan} et al., Lect. Notes Comput. Sci. 7280, 25--39 (2012; Zbl 1290.94034) Full Text: DOI
Dong, Deshuai; Qu, Longjiang; Fu, Shaojing; Li, Chao New constructions of vectorial Boolean functions with good cryptographic properties. (English) Zbl 1245.94071 Int. J. Found. Comput. Sci. 23, No. 3, 749-760 (2012). MSC: 94A60 PDFBibTeX XMLCite \textit{D. Dong} et al., Int. J. Found. Comput. Sci. 23, No. 3, 749--760 (2012; Zbl 1245.94071) Full Text: DOI
Fu, Shaojing; Li, Chao; Qu, Longjiang; Dong, Deshuai On the number of rotation symmetric functions over \(\mathrm{GF}(p)\). (English) Zbl 1245.94072 Math. Comput. Modelling 55, No. 1-2, 142-150 (2012). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{S. Fu} et al., Math. Comput. Modelling 55, No. 1--2, 142--150 (2012; Zbl 1245.94072) Full Text: DOI
Fu, Shaojing; Matsuura, Kanta; Li, Chao; Qu, Longjiang Construction of highly nonlinear resilient S-boxes with given degree. (English) Zbl 1255.94054 Des. Codes Cryptography 64, No. 3, 241-253 (2012). MSC: 94A60 11T71 94C10 PDFBibTeX XMLCite \textit{S. Fu} et al., Des. Codes Cryptography 64, No. 3, 241--253 (2012; Zbl 1255.94054) Full Text: DOI
Fu, Shaojing; Sun, Bing; Li, Chao; Qu, Longjiang Construction of odd-variable resilient Boolean functions with optimal degree. (English) Zbl 1260.94039 JISE, J. Inf. Sci. Eng. 27, No. 6, 1931-1942 (2011). MSC: 94A60 PDFBibTeX XMLCite \textit{S. Fu} et al., JISE, J. Inf. Sci. Eng. 27, No. 6, 1931--1942 (2011; Zbl 1260.94039) Full Text: Link
Dong, Deshuai; Li, Chao; Qu, Longjiang; Zhou, Yue Preimage distributions of a class of perfect nonlinear functions. (Chinese. English summary) Zbl 1240.94061 Appl. Math., Ser. A (Chin. Ed.) 26, No. 1, 95-101 (2011). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{D. Dong} et al., Appl. Math., Ser. A (Chin. Ed.) 26, No. 1, 95--101 (2011; Zbl 1240.94061)
Fu, Shaojing; Li, Chao; Matsuura, Kanta; Qu, Longjiang Balanced \(2p\)-variable rotation symmetric Boolean functions with maximum algebraic immunity. (English) Zbl 1231.65014 Appl. Math. Lett. 24, No. 12, 2093-2096 (2011). MSC: 65C10 11K45 PDFBibTeX XMLCite \textit{S. Fu} et al., Appl. Math. Lett. 24, No. 12, 2093--2096 (2011; Zbl 1231.65014) Full Text: DOI
Sun, Bing; Li, Ruilin; Qu, Longjiang; Li, Chao Square attack on block ciphers with low algebraic degree. (English) Zbl 1497.94114 Sci. China, Inf. Sci. 53, No. 10, 1988-1995 (2010). MSC: 94A60 PDFBibTeX XMLCite \textit{B. Sun} et al., Sci. China, Inf. Sci. 53, No. 10, 1988--1995 (2010; Zbl 1497.94114) Full Text: DOI
Fu, Shaojing; Li, Chao; Qu, Longjiang On the number of rotation symmetric Boolean functions. (English) Zbl 1497.94219 Sci. China, Inf. Sci. 53, No. 3, 537-545 (2010). MSC: 94D10 94A60 PDFBibTeX XMLCite \textit{S. Fu} et al., Sci. China, Inf. Sci. 53, No. 3, 537--545 (2010; Zbl 1497.94219) Full Text: DOI
Fu, Shaojing; Li, Chao; Matsuura, Kanta; Qu, Longjiang Enumeration of balanced symmetric functions over \(GF(p)\). (English) Zbl 1234.94040 Inf. Process. Lett. 110, No. 14-15, 544-548 (2010). MSC: 94A60 05E05 PDFBibTeX XMLCite \textit{S. Fu} et al., Inf. Process. Lett. 110, No. 14--15, 544--548 (2010; Zbl 1234.94040) Full Text: DOI
Li, Chao; Ling, San; Qu, Longjiang On the covering structures of two classes of linear codes from perfect nonlinear functions. (English) Zbl 1367.94374 IEEE Trans. Inf. Theory 55, No. 1, 70-82 (2009). MSC: 94B05 94A62 PDFBibTeX XMLCite \textit{C. Li} et al., IEEE Trans. Inf. Theory 55, No. 1, 70--82 (2009; Zbl 1367.94374) Full Text: DOI
Fu, Shaojing; Li, Chao; Matsuura, Kanta; Qu, Longjiang Construction of rotation symmetric Boolean functions with maximum algebraic immunity. (English) Zbl 1287.94067 Garay, Juan A. (ed.) et al., Cryptology and network security. 8th international conference, CANS 2009, Kanazawa, Japan, December 12–14, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-10432-9/pbk). Lecture Notes in Computer Science 5888, 402-412 (2009). MSC: 94A60 PDFBibTeX XMLCite \textit{S. Fu} et al., Lect. Notes Comput. Sci. 5888, 402--412 (2009; Zbl 1287.94067) Full Text: DOI
Dong, Deshuai; Fu, Shaojing; Qu, Longjiang; Li, Chao A new construction of Boolean functions with maximum algebraic immunity. (English) Zbl 1307.94052 Samarati, Pierangela (ed.) et al., Information security. 12th international conference, ISC 2009, Pisa, Italy, September 7–9, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-04473-1/pbk). Lecture Notes in Computer Science 5735, 177-185 (2009). MSC: 94A60 PDFBibTeX XMLCite \textit{D. Dong} et al., Lect. Notes Comput. Sci. 5735, 177--185 (2009; Zbl 1307.94052) Full Text: DOI
Sun, Bing; Qu, Longjiang; Li, Chao New cryptanalysis of block ciphers with low algebraic degree. (English) Zbl 1248.94097 Dunkelman, Orr (ed.), Fast software encryption. 16th international workshop, FSE 2009, Leuven, Belgium, February 22–25, 2009. Revised selected papers. Berlin: Springer (ISBN 978-3-642-03316-2/pbk). Lecture Notes in Computer Science 5665, 180-192 (2009). MSC: 94A60 PDFBibTeX XMLCite \textit{B. Sun} et al., Lect. Notes Comput. Sci. 5665, 180--192 (2009; Zbl 1248.94097) Full Text: DOI
Qu, Longjiang; Li, Chao Minimum distance between bent and resilient Boolean functions. (English) Zbl 1248.94088 Chee, Yeow Meng (ed.) et al., Coding and cryptology. Second international workshop, IWCC 2009, Zhangjiajie, China, June 1–5, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-01813-8/pbk). Lecture Notes in Computer Science 5557, 219-232 (2009). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{L. Qu} and \textit{C. Li}, Lect. Notes Comput. Sci. 5557, 219--232 (2009; Zbl 1248.94088) Full Text: DOI
Li, Na; Qu, Longjiang; Qi, Wen-Feng; Feng, Guozhu; Li, Chao; Xie, Duanqiang On the construction of Boolean functions with optimal algebraic immunity. (English) Zbl 1306.94070 IEEE Trans. Inf. Theory 54, No. 3, 1330-1334 (2008). MSC: 94A60 94C10 06E30 PDFBibTeX XMLCite \textit{N. Li} et al., IEEE Trans. Inf. Theory 54, No. 3, 1330--1334 (2008; Zbl 1306.94070) Full Text: DOI
Qu, Longjiang; Li, Chao Weight support technique and the symmetric Boolean functions with maximum algebraic immunity on even number of variables. (English) Zbl 1166.94323 Pei, Dingyi (ed.) et al., Information security and cryptology. Third SKLOIS conference, Inscrypt 2007, Xining, China, August 31–September 5, 2007. Revised selected papers. Berlin: Springer (ISBN 978-3-540-79498-1/pbk). Lecture Notes in Computer Science 4990, 271-282 (2008). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{L. Qu} and \textit{C. Li}, Lect. Notes Comput. Sci. 4990, 271--282 (2008; Zbl 1166.94323) Full Text: DOI
Qu, Longjiang; Li, Chao On the \(2^{m}\)-variable symmetric Boolean functions with maximum algebraic immunity. (English) Zbl 1139.06007 Sci. China, Ser. F. 51, No. 2, 120-127 (2008). Reviewer: Sergiu Rudeanu (Bucureşti) MSC: 06E30 94A60 PDFBibTeX XMLCite \textit{L. Qu} and \textit{C. Li}, Sci. China, Ser. F 51, No. 2, 120--127 (2008; Zbl 1139.06007) Full Text: DOI
Qu, Longjiang; Li, Chao; Feng, Keqin A note on symmetric Boolean functions with maximum algebraic immunity in odd number of variables. (English) Zbl 1326.94145 IEEE Trans. Inf. Theory 53, No. 8, 2908-2910 (2007). MSC: 94C10 06E30 PDFBibTeX XMLCite \textit{L. Qu} et al., IEEE Trans. Inf. Theory 53, No. 8, 2908--2910 (2007; Zbl 1326.94145) Full Text: DOI