New quantum MDS codes derived from constacyclic codes
نویسندگان
چکیده
منابع مشابه
New quantum MDS codes derived from constacyclic codes
Quantum error-correcting codes play an important role in both quantum communication and quantum computation. It has experienced a great progress since the establishment of the connections between quantum codes and classical codes (see [4]). It was shown that the construction of quantum codes can be reduced to that of classical linear error-correcting codes with certain self-orthogonality proper...
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Quantum maximum-distance-separable (MDS) codes are an important class of quantum codes. In this paper, using constacyclic codes and Hermitain construction, we construct some new quantum MDS codes of the form q = 2am + t, n = q 2 +1 a . Most of these quantum MDS codes are new in the sense that their parameters are not covered be the codes available in the literature.
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The entanglement-assisted (EA) formalism allows arbitrary classical linear codes to transform into entanglement-assisted quantum error correcting codes (EAQECCs) by using pre-shared entanglement between the sender and the receiver. In this work, we propose a decomposition of the defining set of constacyclic codes. Using this method, we construct four classes of q-ary entanglement-assisted quant...
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One of the main challenges of coding theory is to construct linear codes with the best possible parameters. Various algebraic and combinatorial methods along with computer searches are used to construct codes with better parameters. Given the computational complexity of determining the minimum distance of a code, exhaustive searches are not feasible for all but small parameter sets. Therefore, ...
متن کاملNew quantum mds constacylıc codes
This paper is devoted to the study of the construction of new quantum MDS codes. Based on constacyclic codes over F q2 , we derive four new families of quantum MDS codes, one of which is an explicit generalization of the construction given in Theorem 7 in [22]. We also extend the result of Theorem 3.3 given in [17].
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ژورنال
عنوان ژورنال: Quantum Information Processing
سال: 2015
ISSN: 1570-0755,1573-1332
DOI: 10.1007/s11128-014-0903-y