Journal of Complexity - Special issue on coding and cryptography
Nonlinearity of Some Invariant Boolean Functions
Designs, Codes and Cryptography
Idempotents in the neighbourhood of Patterson-Wiedemann functions having Walsh spectra zeros
Designs, Codes and Cryptography
9-variable Boolean functions with nonlinearity 242 in the generalized rotation symmetric class
Information and Computation
Propagation characteristics and correlation-immunity of highly nonlinear boolean functions
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
AAECC'07 Proceedings of the 17th international conference on Applied algebra, algebraic algorithms and error-correcting codes
Enumeration of 9-variable rotation symmetric boolean functions having nonlinearity 240
INDOCRYPT'06 Proceedings of the 7th international conference on Cryptology in India
Results on rotation-symmetric S-boxes
Information Sciences: an International Journal
| Hi-index | 754.84 |
We study a family of particular cosets of the first-order Reed-Muller code R(1,m): those generated by special codewords, the idempotents. Thus we obtain new maximal weight distributions of cosets of R(1,7) and 84 distinct almost maximal weight distributions of cosets of R(1,9), that is, with minimum weight 240. This leads to crypotographic applications in the context of stream ciphers