By Lilya Budaghyan

ISBN-10: 3319129902

ISBN-13: 9783319129907

ISBN-10: 3319129910

ISBN-13: 9783319129914

This publication covers novel learn on development and research of optimum cryptographic features reminiscent of virtually excellent nonlinear (APN), virtually bent (AB), planar and bent capabilities. those services have optimum resistance to linear and/or differential assaults, that are the 2 strongest assaults on symmetric cryptosystems. along with cryptographic purposes, those features are major in lots of branches of arithmetic and data concept together with coding conception, combinatorics, commutative algebra, finite geometry, series layout and quantum details concept. the writer analyzes equivalence family members for those capabilities and develops numerous new equipment for development in their countless households. additionally, the ebook bargains options to 2 longstanding open difficulties, together with the matter on characterization of APN and AB features through Boolean, and the matter at the relation among periods of bent functions.

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1–19, 2000. 101. A. Pott, Y. Zhou. CCZ and EA equivalence between mappings over finite Abelian groups. Des. Codes Cryptography 66(1–3), pp. 99–109, 2013. 102. A. Pott, Y. Tan, T. Feng, and S. Ling. Association schemes arising from bent functions. Des. , vol. 59, no. 1–3, pp. 319–331, Apr. 2011. 103. O. S. Rothaus. On “bent” functions. J. Combin. Theory Ser. A, vol. 20, no. 3, pp. 300–305, 1976. 104. V. Sidelnikov. On mutual correlation of sequences. Soviet Math. , 12, pp. 197–201, 1971. 105. Y.

T. Beth and C. Ding. On almost perfect nonlinear permutations. Advances in CryptologyEUROCRYPT’93, Lecture Notes in Computer Science, 765, Springer-Verlag, New York, pp. 65–76, 1993. 5. J. Bierbrauer. New semifields, PN and APN functions. Designs, Codes and Cryptography, v. 54, pp. 189–200, 2010. 6. J. Bierbrauer. Commutative semifields from projection mappings. Designs, Codes and Cryptography, 61(2), pp. 187–196, 2011. 7. E. Biham and A. Shamir. Differential Cryptanalysis of DES-like Cryptosystems.

97. K. Nyberg. Perfect nonlinear S-boxes. Advances in Cryptography, EUROCRYPT’91, Lecture Notes in Computer Science 547, pp. 378–386, 1992. 98. K. Nyberg. Differentially uniform mappings for cryptography. Advances in Cryptography, EUROCRYPT’93, Lecture Notes in Computer Science 765, pp. 55–64, 1994. 99. K. Nyberg. S-boxes and Round Functions with Controllable Linearity and Differential Uniformity. Proceedings of Fast Software Encryption 1994, LNCS 1008, pp. 111–130, 1995. 100. T. Penttila and B.

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