Carlet, Claude On APN functions whose graphs are maximal Sidon sets. (English) Zbl 07719348 Castañeda, Armando (ed.) et al., Latin 2022: theoretical informatics. 15th Latin American symposium, Guanajuato, Mexico, November 7–11, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13568, 243-254 (2022). MSC: 11T71 94A60 94C15 20Kxx PDFBibTeX XMLCite \textit{C. Carlet}, Lect. Notes Comput. Sci. 13568, 243--254 (2022; Zbl 07719348) Full Text: DOI
Mesnager, Sihem Linear codes from functions. (English) Zbl 1489.94146 Huffman, W. Cary (ed.) et al., Concise encyclopedia of coding theory. Boca Raton, FL: CRC Press. 463-526 (2021). MSC: 94B05 94D10 11T71 94-02 PDFBibTeX XMLCite \textit{S. Mesnager}, in: Concise encyclopedia of coding theory. Boca Raton, FL: CRC Press. 463--526 (2021; Zbl 1489.94146)
Romero, Alfonso; Rubio, Rafael M. A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems. (English) Zbl 1355.53052 Suceavă, Bogdan D. (ed.) et al., Recent advances in the geometry of submanifolds: dedicated to the memory of Franki Dillen (1963–2013). AMS special session on geometry of submanifolds, San Francisco State University, San Francisco, CA, USA, October 25–26, 2014, and the AMS special session on recent advances in the geometry of submanifolds: dedicated to the memory of Franki Dillen (1963–2013), Michigan State University, East Lansing, Ml, USA, March 14–15, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2298-1/pbk; 978-1-4704-3532-5/ebook). Contemporary Mathematics 674, 141-152 (2016). MSC: 53C42 53C50 35J60 PDFBibTeX XMLCite \textit{A. Romero} and \textit{R. M. Rubio}, Contemp. Math. 674, 141--152 (2016; Zbl 1355.53052) Full Text: DOI
Caullery, Florian A divisibility criterion for exceptional APN functions. (English) Zbl 1409.11133 Kyureghyan, Gohar (ed.) et al., Topics in finite fields. 11th international conference on finite fields and their applications (Fq11), Magdeburg, Germany, July 22–26, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 632, 71-82 (2015). MSC: 11T71 12E20 94A60 PDFBibTeX XMLCite \textit{F. Caullery}, Contemp. Math. 632, 71--82 (2015; Zbl 1409.11133) Full Text: DOI Link
Carlet, Claude Open questions on nonlinearity and on APN functions. (English) Zbl 1400.94133 Koç, Çetin Kaya (ed.) et al., Arithmetic of finite fields. 5th international workshop, WAIFI 2014, Gebze, Turkey, September 27–28, 2014. Revised selected papers. Berlin: Springer (ISBN 978-3-319-16276-8/pbk). Lecture Notes in Computer Science 9061, 83-107 (2015). MSC: 94A60 94D05 PDFBibTeX XMLCite \textit{C. Carlet}, Lect. Notes Comput. Sci. 9061, 83--107 (2015; Zbl 1400.94133) Full Text: DOI
Horadam, Kathy J.; Villanueva, Mercé Relationships between CCZ and EA equivalence classes and corresponding code invariants. (English) Zbl 1337.94107 Schmidt, Kai-Uwe (ed.) et al., Sequences and their applications – SETA 2014. 8th international conference, Melbourne, VIC, Australia, November 24–28, 2014. Proceedings. Cham: Springer (ISBN 978-3-319-12324-0/pbk; 978-3-319-12325-7/ebook). Lecture Notes in Computer Science 8865, 3-17 (2014). MSC: 94B25 94A60 PDFBibTeX XMLCite \textit{K. J. Horadam} and \textit{M. Villanueva}, Lect. Notes Comput. Sci. 8865, 3--17 (2014; Zbl 1337.94107) Full Text: DOI Link
Férard, Eric; Oyono, Roger; Rodier, François Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents. (English) Zbl 1362.11102 Aubry, Yves (ed.) et al., Arithmetic, geometry, cryptography and coding theory. 13th conference on arithmetic, geometry, cryptography and coding theory, CIRM, Marseille, France, March 14–18, 2011 and Geocrypt 2011, Bastia, France, June 19–24, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7572-8/pbk; 978-0-8218-9027-1/ebook). Contemporary Mathematics 574, 27-36 (2012). MSC: 11T06 11T71 94A60 PDFBibTeX XMLCite \textit{E. Férard} et al., Contemp. Math. 574, 27--36 (2012; Zbl 1362.11102) Full Text: DOI HAL
Budaghyan, Lilya; Carlet, Claude CCZ-equivalence of single and multi output Boolean functions. (English) Zbl 1206.94055 McGuire, Gary (ed.) et al., Finite fields. Theory and applications. Proceedings of the 9th international conference on finite fields and applications, Dublin, Ireland, July 13–17, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4786-2/pbk). Contemporary Mathematics 518, 43-54 (2010). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{L. Budaghyan} and \textit{C. Carlet}, Contemp. Math. 518, 43--54 (2010; Zbl 1206.94055)
Yin, Jianxing A construction of optimal sets of FH sequences. (English) Zbl 1160.94301 Li, Yongqing (ed.) et al., Coding and cryptology. Proceedings of the first international workshop, Wuyi Mountain, Fujian, China, June 11–15, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-223-8/hbk). Series on Coding Theory and Cryptology 4, 268-276 (2008). MSC: 94A05 94A55 PDFBibTeX XMLCite \textit{J. Yin}, Ser. Coding Theory Cryptol. 4, 268--276 (2008; Zbl 1160.94301) Full Text: DOI
Budaghyan, Lilya; Helleseth, Tor New perfect nonlinear multinomials over \(\mathbb F_{p^{2k}}\) for any odd prime \(p\). (English) Zbl 1177.94137 Golomb, Solomon W. (ed.) et al., Sequences and their applications – SETA 2008. 5th international conference, Lexington, KY, USA, September 14–18, 2008 Proceedings. Berlin: Springer (ISBN 978-3-540-85911-6/pbk). Lecture Notes in Computer Science 5203, 403-414 (2008). MSC: 94A60 11T71 12K10 PDFBibTeX XMLCite \textit{L. Budaghyan} and \textit{T. Helleseth}, Lect. Notes Comput. Sci. 5203, 403--414 (2008; Zbl 1177.94137) Full Text: DOI
Budaghyan, Lilya The simplest method for constructing APN polynomials EA-inequivalent to power functions. (English) Zbl 1177.94133 Carlet, Claude (ed.) et al., Arithmetic of finite fields. First international workshop, WAIFI 2007, Madrid, Spain, June 21–22, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-73073-6/pbk). Lecture Notes in Computer Science 4547, 177-188 (2007). MSC: 94A60 PDFBibTeX XMLCite \textit{L. Budaghyan}, Lect. Notes Comput. Sci. 4547, 177--188 (2007; Zbl 1177.94133) Full Text: DOI
Nakagawa, Nobuo; Yoshiara, Satoshi A construction of differentially 4-uniform functions from commutative semifields of characteristic 2. (English) Zbl 1213.11196 Carlet, Claude (ed.) et al., Arithmetic of finite fields. First international workshop, WAIFI 2007, Madrid, Spain, June 21–22, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-73073-6/pbk). Lecture Notes in Computer Science 4547, 134-146 (2007). MSC: 11T55 11T71 94A60 PDFBibTeX XMLCite \textit{N. Nakagawa} and \textit{S. Yoshiara}, Lect. Notes Comput. Sci. 4547, 134--146 (2007; Zbl 1213.11196) Full Text: DOI
Jachymski, Jacek; Jóźwik, Izabela Nonlinear contractive conditions: a comparison and related problems. (English) Zbl 1149.47044 Jachymski, Jacek (ed.) et al., Fixed point theory and its applications. Proceedings of the international conference, Bȩdlewo, Poland, August 1–5, 2005. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 77, 123-146 (2007). Reviewer: Lakshmi Shanker Dube (Québec) MSC: 47H10 54H25 26A15 26A18 26A48 26A51 54C10 PDFBibTeX XMLCite \textit{J. Jachymski} and \textit{I. Jóźwik}, Banach Cent. Publ. 77, 123--146 (2007; Zbl 1149.47044) Full Text: Link
Kim, Young-Sik; Jang, Ji-Woong; No, Jong-Seon; Helleseth, Tor On \(p\)-ary bent functions defined on finite fields. (English) Zbl 1027.94520 No, Jong-Seon (ed.) et al., Mathematical properties of sequences and other combinatorial structures. Selected papers presented at the conference, Los Angeles, CA, USA, May 30-June 1, 2002. Dedicated to the 70th birthday of Solomon W. Golomb. Dordrecht: Kluwer Academic Publishers. Kluwer Int. Ser. Eng. Comput. Sci. 726, 65-76 (2003). MSC: 94A60 11T71 06E30 11B50 94A55 PDFBibTeX XMLCite \textit{Y.-S. Kim} et al., Kluwer Int. Ser. Eng. Comput. Sci. 726, 65--76 (2003; Zbl 1027.94520)
Canteaut, Anne; Charpin, Pascale; Dobbertin, Hans A new characterization of almost bent functions. (English) Zbl 1004.94019 Knudsen, Lars (ed.), Fast software encryption. 6th international workshop, FSE ‘99. Rome, Italy, March 24-26, 1999. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1636, 186-200 (1999). Reviewer: R.-H.Schulz (Berlin) MSC: 94A60 94C10 PDFBibTeX XMLCite \textit{A. Canteaut} et al., Lect. Notes Comput. Sci. 1636, 186--200 (1999; Zbl 1004.94019)