Spectral and Nonlinear Properties of the Sum of Boolean Functions
B. Schneier, Applied Cryptography. Second edition, New York, John Wiley & Sons(1996).
I.V. Agafonova, Cryptographic properties of non-linear Boolean functions, Seminar on discrete harmonic analysis and geometeric modeling, St. Petersburg DHA & CAGD (2007), 1–24.
O.N. Zhdanov, The method of selection of key information for the block cipher algorithm, Moscow, INFRA-M(2013), 90.
Rodier, F. (2003). On the nonlinearity of Boolean functions. In Proceedings of WCC2003, Workshop on coding and cryptography (pp. 397-405).
A.V. Sokolov, New methods for synthesizing nonlinear transform of modern ciphers, Lap Lambert Academic Publishing (2015), 100.
Canteaut, A., Carlet, C., Charpin, P., & Fontaine, C. (2000, May). Propagation characteristics and correlation-immunity of highly nonlinear Boolean functions. In International Conference on the Theory and Applications of Cryptographic Techniques (pp. 507-522). Springer, Berlin, Heidelberg.
M.I. Mazurkov, Broadband radio communication systems, Odessa, Science and Technology(2010), 340.
M.I. Mazurkov, A.V. Sokolov, The regular rules of constructing the complete class of bent-sequences of length 16, Proceedings of ONPU (2013), No.2(41), 231–237.
O.S. Rothaus, On "bent" functions J. Comb. Theory Ser. A, USA: Academic Press Inc (1976), No.20(3), 300–305.
A.V. Sokolov, Constructive method for the synthesis of nonlinear Sboxes satisfying the strict avalanche criterion, Radioelectronics and Communications Systems(2013), 56, 8, 415–423.
M.I. Mazurkov, N.A. Barabanov, A.V. Sokolov, The key sequences generator based on bent functions dual couples, Proceedings of ONPU(2013), No.3(42), 150–156.
K. G. Paterson, Sequences For OFDM and Multi-code CDMA: two problems in algebraic coding theory, Sequences and their applications. Seta(2001,2002). Second Int. Conference. Proc. Berlin: Springer, 46–71.
Mazurkov M.I. Synthesis method for families of constant amplitude correcting codes based on an arbitrary bent-square / M.I. Mazurkov, A.V. Sokolov, I.V. Tsevukh. — Journal of Telecommunication, Electronic and Computer Engineering (JTEC). — Vol. 2. — No.9. — P. 99-103.
M.I. Mazurkov, A.V. Sokolov, Fast orthogonal transforms based on bent-sequences, Informatics and mathematical methods in simulation(2014), No. 1, 5–13.
A.V. Sokolov, N.A. Barabanov, Algorithm for removing the spectral equivalence of component Boolean functions of Nyberg-design Sboxes. Radioelectronics and Communications
Systems(2015), Vol. 58, Vo. 5, 220-227.
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution 3.0 License.