On negacyclic MDS-convolutional codes
نویسندگان
چکیده
منابع مشابه
On Negacyclic MDS-Convolutional Codes
New families of classical and quantum optimal negacyclic convolutional codes are constructed in this paper. This optimality is in the sense that they attain the classical (quantum) generalized Singleton bound. The constructions presented in this paper are performed algebraically and not by computational search.
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This paper is devoted to the study of linear codes with complementary-duals (LCD) arising from negacyclic codes over finite fields Fq, where q is an odd prime power. We obtain two classes of MDS negacyclic LCD codes of length n| q−1 2 , n| q+1 2 and a class of negacyclic LCD codes of length n = q+1. Also, we drive some parameters of Hermitian negacyclic LCD codes over Fq2 of length n = q − 1 an...
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Recently, entanglement-assisted quantum error correcting codes (EAQECCs) have been constructed by cyclic codes and negacyclic codes. In this paper, by analyzing the cyclotomic cosets in the defining set of constacyclic codes, we constructed three classes of new EAQECCs which satisfy the entanglement-assisted quantum Singleton bound. Besides, three classes of EAQECCs with maximal entanglement fr...
متن کاملConstructions of MDS-convolutional codes
Maximum-distance separable (MDS) convolutional codes are characterized through the property that the free distance attains the generalized singleton bound. The existence of MDS convolutional codes was established by two of the authors by using methods from algebraic geometry. This correspondence provides an elementary construction of MDS convolutional codes for each rate k/n and each degree δ. ...
متن کاملConstruction of Unit-Memory MDS Convolutional Codes
Maximum-distance separable (MDS) convolutional codes form an optimal family of convolutional codes, the study of which is of great importance. There are very few general algebraic constructions of MDS convolutional codes. In this paper, we construct a large family of unit-memory MDS convolutional codes over Fq with flexible parameters. Compared with previous works, the field size q required to ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2014
ISSN: 0024-3795
DOI: 10.1016/j.laa.2014.01.033