Results on rotation symmetric bent functions
作者： Deepak K. Dalai , Subhamoy Maitra , Sumanta Sarkar
DOI: 10.1016/J.DISC.2008.05.017
关键词:
摘要: In this paper we analyze the combinatorial properties related to Walsh spectra of rotation symmetric Boolean functions on even number variables. These results are then applied in studying bent functions. For first time could present an enumeration strategy for all 10-variable
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Pantelimon Stănică, Subhamoy Maitra, John A Clark, None, Results on Rotation Symmetric Bent and Correlation Immune Boolean Functions fast software encryption. pp. 161- 177 ,(2004) , 10.1007/978-3-540-25937-4_11
Peter Savický, On the Bent Boolean Functions That are Symmetric The Journal of Combinatorics. ,vol. 15, pp. 407- 410 ,(1994) , 10.1006/EUJC.1994.1044
John A. Clark, Jeremy L. Jacob, Subhamoy Maitra, Pantelimon Stanica, Almost Boolean Functions: The Design of Boolean Functions by Spectral Inversion computational intelligence. ,vol. 20, pp. 450- 462 ,(2004) , 10.1111/J.0824-7935.2004.00245.X
C. Fontaine, On some cosets of the first-order Reed-Muller code with high minimum weight IEEE Transactions on Information Theory. ,vol. 45, pp. 1237- 1243 ,(1999) , 10.1109/18.761276
Seluk Kavut, Subhamoy Maitra, Melek D Yucel, None, Search for Boolean Functions With Excellent Profiles in the Rotation Symmetric Class IEEE Transactions on Information Theory. ,vol. 53, pp. 1743- 1751 ,(2007) , 10.1109/TIT.2007.894696
Submahoy Maitra, Pantelimon Stănică, None, Rotation Symmetric Boolean Functions –; Count and Cryptographic Properties Electronic Notes in Discrete Mathematics. ,vol. 15, pp. 139- 145 ,(2003) , 10.1016/S1571-0653(04)00560-8
Subhamoy Maitra, Martin Hell, Alexander Maximov, Plateaued Rotation Symmetric Boolean Functions on Odd Number of Variables. IACR Cryptology ePrint Archive. ,vol. 2004, pp. 144- ,(2004)
Alexander Maximov, Classes of Plateaued Rotation Symmetric Boolean Functions under Transformation of Walsh Spectra. IACR Cryptology ePrint Archive. ,vol. 2004, pp. 354- ,(2004)
Josef Pieprzyk, Cheng Xin Qu, Rotation-Symmetric Functions and Fast Hashing. Journal of Universal Computer Science. ,vol. 5, pp. 20- 31 ,(1999)
Selçuk Kavut, Subhamoy Maitra, Sumanta Sarkar, Melek D Yücel, None, Enumeration of 9-Variable Rotation Symmetric Boolean Functions Having Nonlinearity > 240 Progress in Cryptology - INDOCRYPT 2006. pp. 266- 279 ,(2006) , 10.1007/11941378_19