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Found 100 Documents (Results 1–100)

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Panario, Daniel; Sakzad, Amin; Thomson, David
Ambiguity and deficiency of reversed Dickson permutations. (English) Zbl 1393.11082
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) (ISBN 978-0-8218-9860-4/pbk; 978-1-4704-2220-2/ebook). Contemporary Mathematics 632, 347-358 (2015).
MSC:  11T06 11A07 11B65
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\textit{D. Panario} et al., Contemp. Math. 632, 347--358 (2015; Zbl 1393.11082)
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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
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\textit{F. Caullery}, Contemp. Math. 632, 71--82 (2015; Zbl 1409.11133)
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Özbudak, Ferruh; Pott, Alexander
Non-extendable \(\mathbb{F}_q\)-quadratic perfect nonlinear maps. (English) Zbl 1342.11092
Koç, Çetin Kaya (ed.), Open problems in mathematics and computational science. Based on the presentations at the conference, Istanbul, Turkey, September 18–20, 2013. Cham: Springer (ISBN 978-3-319-10682-3/hbk; 978-3-319-10683-0/ebook). 91-110 (2014).
Reviewer: Robert Fitzgerald (Carbondale)
MSC:  11T06
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\textit{F. Özbudak} and \textit{A. Pott}, in: Open problems in mathematics and computational science. Based on the presentations at the conference, Istanbul, Turkey, September 18--20, 2013. Cham: Springer. 91--110 (2014; Zbl 1342.11092)
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Hernando, Fernando; McGuire, Gary
On the classification of perfect nonlinear (PN) and almost perfect nonlinear (APN) monomial functions. (English) Zbl 1368.11130
Charpin, Pascale (ed.) et al., Finite fields and their applications. Character sums and polynomials. Based on the invited talks of the RICAM-workshop, Strobl, Austria, September 2–7, 2012. Berlin: de Gruyter (ISBN 978-3-11-028240-5/hbk; 978-3-11-028360-0/ebook). Radon Series on Computational and Applied Mathematics 11, 145-168 (2013).
MSC:  11T06 11T71 94A55 94B05
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\textit{F. Hernando} and \textit{G. McGuire}, Radon Ser. Comput. Appl. Math. 11, 145--168 (2013; Zbl 1368.11130)
Aubry, Yves; McGuire, Gary; Rodier, François
A few more functions that are not APN infinitely often. (English) Zbl 1206.94025
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, 23-31 (2010).
MSC:  11T71 12E20
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\textit{Y. Aubry} et al., Contemp. Math. 518, 23--31 (2010; Zbl 1206.94025)
Yang, Yang; Tang, Xiaohu; Udaya, Parampalli
Optimal authentication codes from difference balanced functions. (English) Zbl 1257.94036
Carlet, Claude (ed.) et al., Sequences and their applications – SETA 2010. 6th international conference, Paris, France, September 13–17, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15873-5/pbk). Lecture Notes in Computer Science 6338, 298-304 (2010).
MSC:  94A62 39A14
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\textit{Y. Yang} et al., Lect. Notes Comput. Sci. 6338, 298--304 (2010; Zbl 1257.94036)
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At, Nuray; Cohen, Stephen D.
A new tool for assurance of perfect nonlinearity. (English) Zbl 1206.94048
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, 415-419 (2008).
MSC:  94A60 11T71
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\textit{N. At} and \textit{S. D. Cohen}, Lect. Notes Comput. Sci. 5203, 415--419 (2008; Zbl 1206.94048)
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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
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\textit{L. Budaghyan} and \textit{T. Helleseth}, Lect. Notes Comput. Sci. 5203, 403--414 (2008; Zbl 1177.94137)
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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
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\textit{J. Jachymski} and \textit{I. Jóźwik}, Banach Cent. Publ. 77, 123--146 (2007; Zbl 1149.47044)
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Leander, Nils Gregor
Algebraic problems in symmetric cryptography: two recent results on highly nonlinear functions. (English) Zbl 1207.94059
Gerritzen, Lothar (ed.) et al., Algebraic methods in cryptography. AMS/DMV joint international meeting, June 16–19, 2005, Mainz, Germany. International workshop on algebraic methods in cryptography, November 17–18, 2005, Bochum, Germany. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4037-1/pbk). Contemporary Mathematics 418, 141-152 (2006).
Reviewer: Olaf Ninnemann (Berlin)
MSC:  94A60 11T71
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\textit{N. G. Leander}, Contemp. Math. 418, 141--152 (2006; Zbl 1207.94059)
Dunkelman, Orr; Keller, Nathan
A new criterion for nonlinearity of block ciphers. (English) Zbl 1125.94018
Pointcheval, David (ed.), Topics in cryptology – CT-RSA 2006. The cryptographers’ track at the RSA conference 2006, San Jose, CA, USA, February 13–17, 2006. Proceedings. Berlin: Springer (ISBN 3-540-31033-9/pbk). Lecture Notes in Computer Science 3860, 295-312 (2006).
MSC:  94A60
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\textit{O. Dunkelman} and \textit{N. Keller}, Lect. Notes Comput. Sci. 3860, 295--312 (2006; Zbl 1125.94018)
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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
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\textit{Y.-S. Kim} et al., Kluwer Int. Ser. Eng. Comput. Sci. 726, 65--76 (2003; Zbl 1027.94520)
Zinov’ev, V. A.; Zinov’ev, D. V.
Binary extended perfect codes of length 16 by the generalized concatenated construction. (English. Russian original) Zbl 1027.94030
Probl. Inf. Transm. 38, No. 4, 296-322 (2002); translation from Probl. Peredachi Inf. 38, No. 4, 56-84 (2002).
MSC:  94B25 05A15 05B15
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\textit{V. A. Zinov'ev} and \textit{D. V. Zinov'ev}, Probl. Inf. Transm. 38, No. 4, 296--322 (2002; Zbl 1027.94030); translation from Probl. Peredachi Inf. 38, No. 4, 56--84 (2002)
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Dobbertin, Hans
Almost perfect nonlinear power functions on \(\text{GF} (2^n)\): A new case for \(n\) divisible by 5. (English) Zbl 1010.94550
Jungnickel, Dieter (ed.) et al., Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2-6, 1999. Berlin: Springer. 113-121 (2001).
MSC:  94A55 94A60
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\textit{H. Dobbertin}, in: Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2--6, 1999. Berlin: Springer. 113--121 (2001; Zbl 1010.94550)
Carlet, Claude; Dubuc, Sylvie
On generalized bent and \(q\)-ary perfect nonlinear functions. (English) Zbl 1010.94549
Jungnickel, Dieter (ed.) et al., Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2-6, 1999. Berlin: Springer. 81-94 (2001).
MSC:  94A55 11T30 94A60
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\textit{C. Carlet} and \textit{S. Dubuc}, in: Finite fields and applications. Proceedings of the fifth international conference on finite fields and applications \(F_q5\), University of Augsburg, Germany, August 2--6, 1999. Berlin: Springer. 81--94 (2001; Zbl 1010.94549)
Carlet, Claude; Guillot, Philippe
A new representation of Boolean functions. (English) Zbl 0979.94040
Fossorier, Marc (ed.) et al., Applied algebra, algebraic algorithms and error correcting codes. 13th international symposium, AAECC-13, Honolulu, HI, USA, November 15-19, 1999. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1719, 94-103 (1999).
MSC:  94A60 06E30 94C10
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\textit{C. Carlet} and \textit{P. Guillot}, Lect. Notes Comput. Sci. 1719, 94--103 (1999; Zbl 0979.94040)
Charpin, Pascale
Open problems on cyclic codes. (English) Zbl 0927.94017
Pless, V. S. (ed.) et al., Handbook of coding theory. Vol. 1. Part 1: Algebraic coding. Vol. 2. Part 2: Connections, Part 3: Applications. Amsterdam: Elsevier. 963-1063 (1998).
Reviewer: T.Helleseth (Bergen)
MSC:  94B15 94-02
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\textit{P. Charpin}, in: Handbook of coding theory. Vol. 1. Part 1: Algebraic coding. Vol. 2. Part 2: Connections, Part 3: Applications. Amsterdam: Elsevier. 963--1063 (1998; Zbl 0927.94017)

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