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Designs, Codes and Cryptography OnlineFirst articles

21-01-2021

The 2-adic complexity of Yu-Gong sequences with interleaved structure and optimal autocorrelation magnitude

In 2008, a class of binary sequences of period $$N=4(2^k-1)(2^k+1)$$ N = 4 ( 2 k - 1 ) ( 2 k + 1 ) with optimal autocorrelation magnitude has been presented by Yu and Gong based on an m-sequence, the perfect sequence (0, 1, 1, 1) of period 4 and …

19-01-2021

Generalized Hadamard full propelinear codes

Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized Hadamard matrices are cocyclic. As a consequence, a new class of codes that we call generalized Hadamard full propelinear …

19-01-2021

Characterization and classification of optimal LCD codes

Linear complementary dual (LCD) codes are linear codes that intersect with their dual trivially. We give a characterization of LCD codes over $$\mathbb {F}_q$$ F q having large minimum weights for $$q \in \{2,3\}$$ q ∈ { 2 , 3 } . Using the …

19-01-2021

Grain-like structures with minimal and maximal period sequences

Nonlinear feedback shift registers (NFSRs) are important building blocks for stream ciphers. The cascade connection of an n-stage full-length linear feedback shift register (LFSR) into an m-stage NFSR is called a Grain-like structure. In this …

19-01-2021

Roulette games and depths of words over finite commutative rings

In this paper, we propose three new turn-based two player roulette games and provide positional winning strategies for these games in terms of depths of words over finite commutative rings with unity. We further discuss the feasibility of these …

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There is a great deal of activity in design theory, coding theory and cryptography and recently there has been considerable research done which brings together more than one of the subjects. Designs, Codes and Cryptography provides a forum for high quality papers of both a theoretical and a practical nature which bridge more than one of these areas, encouraging interaction between them. It emphasizes the algebraic and geometric aspects of design theory, coding theory and cryptography.

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