Discrete Applied Mathematics - Special issue: Coding and cryptography
Idempotents in the neighbourhood of Patterson-Wiedemann functions having Walsh spectra zeros
Designs, Codes and Cryptography
An Integrated ECC-MAC Based on RS Code
Transactions on Computational Science IV
On the existence of (10, 2, 7, 488) resilient functions
IEEE Transactions on Information Theory
On guess and determine cryptanalysis of LFSR-based stream ciphers
IEEE Transactions on Information Theory
Discrete Applied Mathematics - Special issue: Coding and cryptography
Constructions of almost optimal resilient Boolean functions on large even number of variables
IEEE Transactions on Information Theory
Constructions of 1-resilient Boolean functions on odd number of variables with a high nonlinearity
Security and Communication Networks
| Hi-index | 755.02 |
In this correspondence, we use affine functions on a small number of variables to construct resilient functions on a large number of variables. We show that by properly combining these functions it is possible to achieve high nonlinearity and high algebraic degree. An important contribution of the correspondence is to show that for each order of resiliency m, it is possible to find infinitely many odd and even positive integers n, such that it is possible to construct (maximum degree) n-variable, m-resilient functions having nonlinearity strictly greater than 2n-1-2└spann/2┘/. We also present construction of some important functions on a small number of variables.