New Quantum Codes From Two Linear Codes Then, using the two criteria, we construct some new quantum codes and a class of new quantum maximum distance separable (quantum mds) codes. in addition, our obtained quantum mds codes have parameters better than the ones available in the literature. Some new criteria for the resulting codes derived from these two propagation rules being self dual, self orthogonal, or linear complementary dual (lcd) codes are given.
Pdf Optimal Asymmetric Quantum Codes From The Euclidean Sums Of In this paper, we present two criteria of the c 2 ⊥ s ⊂ c 1, where c 2 ⊥ s denotes the s galois dual of c 2 and 0 ≤ s
Quantum Codes From Codes Over The Ring Rq Request Pdf This paper constructs some new quantum codes and a class of new quantum maximum distance separable (quantum mds) codes that have parameters better than the ones available in the literature. It is possible to construct an eaqec code from any classical linear code, unlike standard quantum error correcting codes, they can only be constructed from classical linear codes which contain their hermitian dual codes. In this paper, we have developed two new methods of constructing quantum codes by using generator matrix of two linear codes or generator matrix of a linear code and parity check matrix of other linear code over finite field fq. We present new constructions of binary quantum codes from quaternary linear hermitian self dual codes. our main ingredients for these constructions are nearly self orthogonal cyclic or duadic codes over f 4. an infinite family of 0 dimensional binary quantum codes is provided. We present new constructions of binary quantum codes from quaternary linear hermitian self dual codes. our main ingredients for these constructions are nearly self orthogonal cyclic or duadic codes over f 4. We discover new connections between twisted codes and linear cyclic codes and provide novel lower and upper bounds for the minimum distance of twisted codes. we show that classical tools such as the hartmann tzeng minimum distance bound are applicable to twisted codes.
63 Quantum Codes Pdf In this paper, we have developed two new methods of constructing quantum codes by using generator matrix of two linear codes or generator matrix of a linear code and parity check matrix of other linear code over finite field fq. We present new constructions of binary quantum codes from quaternary linear hermitian self dual codes. our main ingredients for these constructions are nearly self orthogonal cyclic or duadic codes over f 4. an infinite family of 0 dimensional binary quantum codes is provided. We present new constructions of binary quantum codes from quaternary linear hermitian self dual codes. our main ingredients for these constructions are nearly self orthogonal cyclic or duadic codes over f 4. We discover new connections between twisted codes and linear cyclic codes and provide novel lower and upper bounds for the minimum distance of twisted codes. we show that classical tools such as the hartmann tzeng minimum distance bound are applicable to twisted codes.
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