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Designs, Codes and Cryptography OnlineFirst articles


Relative t-designs in Johnson association schemes for P-polynomial structure

Relative t-designs are defined in both P- and Q-polynomial association schemes. In this paper, we investigate relative t-designs in Johnson association schemes J(v, k) for P-polynomial structure. It is known that each nontrivial shell of J(v, k) …


The phantom of differential characteristics

For differential cryptanalysis under the single-key model, the key schedules hardly need to be exploited in constructing the characteristics, which is based on the hypothesis of stochastic equivalence. In this paper, we study a profound effect of …


On the security of a Loidreau rank metric code based encryption scheme

We present a polynomial time attack of a rank metric code based encryption scheme due to Loidreau for some parameters.


Codes with locality from cyclic extensions of Deligne–Lusztig curves

Recently, Skabelund defined new maximal curves which are cyclic extensions of the Suzuki and Ree curves. Previously, the now well-known GK curves were found as cyclic extensions of the Hermitian curve. In this paper, we consider locally …


LCD codes and self-orthogonal codes in generalized dihedral group algebras

Let $$\mathbb {F}_q$$ F q be a finite field with q elements, $$D_{2n,\,r}$$ D 2 n , r a generalized dihedral group with $$\gcd (2n,q)=1$$ gcd ( 2 n , q ) = 1 , and $$\mathbb {F}_q[D_{2n,\,r}]$$ F q [ D 2 n , r ] a generalized dihedral group …

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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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