منابع مشابه
Some Results on Quasi-Cyclic Codes
In this paper a class of linear error-correcting block codes is investigated. These quasicyclic codes are closely related in structure to cyclic codes although they are not nearly as well understood. I t is shown that an important subclass of the class of cyclic codes is almost equivMent to quasicyclic codes. Also, a short computer generated list of the best quasicyclic codes of rate 1⁄2 is giv...
متن کاملSome constructions of subspaces cyclic and quasi-cyclic codes
In this paper we construct, using GAP System for Computational Discrete Algebra, some cyclic subspace codes, specially an optimal code over the finite field F210 . Further we present a definition and an example of the q-analogous of a m-quasi-cyclic subspace code over F28 .
متن کاملQuasi-cyclic codes over Z4 and some new binary codes
Recently, (linear) codes over and quasi-cyclic (QC) codes (over fields) have been shown to yield useful results in coding theory. Combining these two ideas we study -QC codes and obtain new binary codes using the usual Gray map. Among the new codes, the lift of the famous Golay code to produces a new binary code, a (92 2 28)-code, which is the best among all binary codes (linear or nonlinear). ...
متن کاملOn quasi-cyclic subspace codes
Construction of subspace codes with good parameters is one of the most important problems in random network coding. In this paper we present first a generalization of the concept of cyclic subspaces codes and further we show that the usual methods for constructing cyclic subspace codes over finite fields works for m-quasi cyclic codes, namely the subspaces polynomials and Frobenius mappings.
متن کاملOn cyclic codes and quasi-cyclic codes over Zq + uZq
Let R = Zq + uZq, where q = p and u = 0. In this paper, some structural properties of cyclic codes and quasi-cyclic (QC) codes over the ring R are considered. A QC code of length ln with index l over R is viewed both as in the conventional row circulant form and also as an R[x]/(x − 1)-submodule of GR(R, l)[x]/(x − 1), where GR(R, l) is the Galois extension ring of degree l over R. A necessary ...
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ژورنال
عنوان ژورنال: Information and Control
سال: 1969
ISSN: 0019-9958
DOI: 10.1016/s0019-9958(69)90497-5