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No similar results are known in the theory of rank-metric based codes. In this paper, we generalize the notion of q-cyclic codes and introduce two new families ...
Cyclic codes are a very important class among codes based on Hamming metric. Cyclicity allows to reduce complexity of encoding and decoding. Related codes are ...
No similar results are known in the theory of rank-metric based codes. In this paper, we generalize the notion of q-cyclic codes and introduce two new families ...
No similar results are known in the theory of rank-metric based codes. In this paper, we generalize the notion of q-cyclic codes and introduce two new families ...
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Rank q-cyclic and pseudo-q-cyclic codes · E. Gabidulin. Mathematics. 2009 IEEE ... 2009. TLDR. It is proved that theclass of pseudo-q-cyclic codes coincides ...
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We study rank equivalences between skew cyclic codes of different lengths and, with the aim of finding the skew cyclic code of smallest length that is rank ...
A matrix code C is a set of m × n matrices (codewords) of fixed size over a finite field Fq of order q. The matrix codes are considered in the rank metric that ...
Jul 22, 2016 · Usual cyclic codes have been considered for the rank metric in [5, 19] and a new construction, the so-called rank q-cyclic codes, was introduced ...
It is proved that the smallest length of a linear code that is rank equivalent to a given skew cyclic code can be attained by a pseudo-skew cyclic codes.
A related construction, the so-called q-cyclic or skew cyclic codes, were introduced by ... Rank q-cyclic and pseudo-q-cyclic codes. In IEEE International.