S-boxes with controllable nonlinearity

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1592, Issue , 1999, Pages 286-294

  Cheon, Jung Hee ^a   Chee, Seongtaek ^a   Park, Choonsik ^a  

^a Electronics and Telecommunications Research Institute (ETRI)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CRYPTOGRAPHY;

HYPER-ELLIPTIC CURVES; LOWER BOUNDS; S-BOXES;

RATIONAL FUNCTIONS;

EID: 84957636815     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-48910-X_20     Document Type: Conference Paper

References (10)

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2. T. Beth and D. Ding, “On Almost Perfect Nonlinear Permutations," Proc. of Eurocrypt'93, pp. 65 -76, Springer-Verlag, 1994.
3. R. Lidl and H. Niederreiter, Introduction to Finite Fields and their Applications, Cambridge University Press, 1986.
4. D. Lorenzini, An Invitation to Arithmetic Geometry, American Mathematical Society, 1996.
5. M. Matsui, “Linear Cryptanalysis Method for DES cipher," Proc. of Eurocrypt'93, pp.386 -397, Springer-Verlag, 1993.
6. K. Nyberg, “On the Construction of Highly Nonlinear Permutation," Proc. Of Eurocrypt'92, pp. 92 -98, Springer-Verlag, 1993.
7. K. Nyberg, “Diffierentially Uniform Mappings for Cryptography," Proc. of Eurocrypt'93, pp. 55 -64, Springer-Verlag, 1994.
8. K. Nyberg, “S-Boxes and Round Functions with Controllable Linearity and Diffierential Uniformity," Proc. of the Second Fast Software Encryption, pp. 111 -130, Springer-Verlag, 1994.
9. J. Seberry, X. -M. Zhang and Y. Zheng, “Nonlinearly Balanced Functions and Their Propagation Characteristics," Proc. of Crypto'93, pp. 49 -60, Springer- Verlag, 1993.
10. J. Silverman, The Arithmetic of Elliptic Curves, Springer-Verlag, 1992.