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By Lilya Budaghyan

This ebook covers novel learn on building and research of optimum cryptographic services resembling virtually ideal 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. in addition to cryptographic functions, those services are major in lots of branches of arithmetic and data conception together with coding conception, combinatorics, commutative algebra, finite geometry, series layout and quantum details conception. the writer analyzes equivalence kin for those services and develops numerous new tools for development in their limitless households. additionally, the e-book deals ideas 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 sessions of bent functions.

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On the dual of monomial quadratic p-ary bent functions. Sequences, Subsequences, and Consequences, ser. Lecture Notes in Computer Science, S. Golomb, G. Gong, T. -Y. , vol. 4893. Berlin: Springer-Verlag, 2007, pp. 50–61. 71. T. Helleseth and A. Kholosha. Sequences, bent functions and Jacobsthal sums. Sequences and Their Applications—SETA 2010, ser. Lecture Notes in Computer Science, C. Carlet and A. , vol. 6338. Berlin: Springer-Verlag, 2010, pp. 416–429. 72. T. Helleseth and A. Kholosha. New binomial bent functions over the finite fields of odd characteristic.

Manuscript, 2009. 93. M. Matsui. Linear cryptanalysis method for DES cipher. Advances in CryptologyEUROCRYPT’93, LNCS, Springer-Verlag, pp. 386–397, 1994. 94. G. Menichetti. On a Kaplansky conjecture concerning three-dimensional division algebras over a finite field. J. Algebra 47, pp. 400–410, 1977. 95. K. Minami and N. Nakagawa. On planar functions of elementary abelian p-group type. Submitted. 96. Y. Niho. Multi-valued cross-correlation functions between two maximal linear recursive sequences.

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. Tan, A. Pott, and T. Feng. Strongly regular graphs associated with ternary bent functions. J. Combin. Theory Ser. A, vol. 117, no. 6, pp. 668–682, Aug. 2010. 106. R. van Dam, D. Fon-Der-Flaass. Codes, graphs, and schemes from nonlinear functions. European J. Combin.

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