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In 2005, [2] Philippe Guillot presented a new construction of Boolean functions using linear codes as an extension of Maiorana-McFarland's construction of bent functions. In this paper, we study a new...
In modern as well as ancient ciphers of public key cryptography, substitution boxes find a permanent seat. Generation and cryptanalysis of 4-bit as well as 8-bit crypto S-boxes is of utmost importance...
The operation of modular addition modulo a power of two is one of the most applied operations in symmetric cryptography. For example, modular addition is used in RC6, MARS and Twofish block ciphers...
Often S-boxes are the only nonlinear component in a block cipher and as such play an important role in ensuring its resistance to cryptanalysis. Cryptographic properties and constructions of S-boxes...
Linear mappings are crucial components of symmetric ciphers. A special type of linear mappings are (0,1)-matrices which have been used in symmetric ciphers such as ARIA, E2 and Camellia as diffusion...
In this paper, we propose a class of $2k$-variable Boolean functions which have optimal algebraic degree, very high nonlinearity, and are $1$-resilient. Based on our newly proposed conjecture, it can ...
In this paper, we study GF-NLFSR, a Generalized Unbalanced Feistel Network (GUFN) which can be considered as an extension of the outer function FO of the KASUMI block cipher.We prove upper bounds fo...
By considering a new metric, we generalize cryptographic properties of Boolean functions such as resiliency and propagation characteristics. These new definitions result in a better understanding of...
This paper presents an efficient approach for classification of the affine equivalence classes of cosets of the first order Reed-Muller code with respect to cryptographic properties such as correlati...

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