Good Quasi-Cyclic Codes Derived From Irreducible Cyclic Codes

On the Grobner Basis of a Family of Quasi-Cyclic LDPC Codes

A Complete Characterization of Irreducible Cyclic Orbit Codes

Constant dimension codes are subsets of the finite Grassmann variety. The study of constant dimension codes with good distances have been central in random linear network coding theory. Orbit codes represent a subclass of constant dimension codes. They are characterized that the elements of the code can be viewed as the orbit under a group action. The paper gives a complete characterization of ...

New Good Quasi-cyclic Codes over Gf(3)

Abstract In this paper some good quasi-cyclic codes over GF(3) are presented. These quasi-cyclic codes improve the already known lower bounds on the minimum distance of the previously known quasi-cyclic codes. Even though these codes do not improve the minimum distance of the best unstructured code known, their beautiful structure and simplicity provide several advantages in comparison to other...

Skew Generalized Quasi-cyclic Codes

This article discusses skew generalized quasi-cyclic codes over any finite field F with Galois automorphism θ. This is a generalization of quasi-cyclic codes and skew polynomial codes. These codes have an added advantage over quasi-cyclic codes since their lengths do not have to be multiples of the index. After a brief description of the skew polynomial ring F[x; θ], we show that a skew general...

Quasi-Cyclic Codes from Cyclic-Structured Designs with Good Properties

Quasi-cyclic Codes from Cyclic-Structured Designs with Good Properties Dimitris E. Simos and Christos Koukouvinos Department of Mathematics National Technical University of Athens Zografou 15773, Athens, Greece {dsimos,ckoukouv}@math.ntua.gr Quasi-cyclic (QC) codes form an important class of linear codes, which contains the well-known class of cyclic codes. A linear code with a complementary du...