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## Designs, Codes and Cryptography OnlineFirst articles

15.06.2018

### The classification of Steiner triple systems on 27 points with 3-rank 24

We show that there are exactly 2624 isomorphism classes of Steiner triple systems on 27 points having 3-rank 24, all of which are actually resolvable. More generally, all Steiner triple systems on $$3^n$$ 3 n points having 3-rank at most $$3^n-n$$ …

15.06.2018

### A construction of q-ary linear codes with irreducible cyclic codes

Linear codes are an important class of error-correcting codes and widely used in secret sharing schemes, combinational designs, authentication codes and so on. The objective of this paper is to construct q-ary linear codes with good parameters …

14.06.2018

### Cryptanalysis of the CLR-cryptosystem

In this paper we break a variant of the El-Gamal cryptosystem for a ring action of the matrix space $$E_p^{(m)}$$ E p ( m ) on $$\mathbb {Z}/p\mathbb {Z}\times \mathbb {Z}/p^2\mathbb {Z}\times \dots \times \mathbb {Z}/p^m\mathbb {Z}$$ Z / p Z × Z …

09.06.2018

### Cryptanalysis of MORUS

MORUS is an authenticated cipher submitted to the ongoing CAESAR competition and becomes one of 15 candidates entering the third round. This paper studies the bit-based division property and differential trails of MORUS-640/1280 with Mixed Integer …

09.06.2018

### A recursive construction for difference systems of sets

Difference systems of sets (DSS) are combinatorial structures introduced by Levenshtein in 1971, which are a generalization of cyclic difference sets and arise in connection with code synchronization. In this paper, we describe some recursive …

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