Some constructions of subspaces cyclic and quasi-cyclic codes
نویسندگان
چکیده
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 .
منابع مشابه
Quasi-Cyclic Complementary Dual Code
LCD codes are linear codes that intersect with their dual trivially. Quasi-cyclic codes that are LCD are characterized and studied by using their concatenated structure. Some asymptotic results are derived. Hermitian LCD codes are introduced to that end and their cyclic subclass is characterized. Constructions of QCCD codes from codes over larger alphabets are given.
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[l] T.A. Gulliver and V.K. Bhargava, “Some best rate l / p and rate (p l ) / p systematic quasi-cyclic codes,” IEEE Trans. Inform. Theory, vol. IT-37, pp. 552-555, May 1991. [2] T.A. Gulliver and V.K. Bhargava, “Nine good rate (m l) /pm quasicyclic codes,” IEEE Trans. Inform. Theory, vol. IT-38, pp. 1366-1369, July 1992. [3] G.E. S6guin and G. Drolet, “The theory of 1-generator quasi-cyclic cod...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1504.04553 شماره
صفحات -
تاریخ انتشار 2015