منابع مشابه
Quantum codes derived from cyclic codes
In this note, we present a construction of new nonbinary quantum codes with good parameters. These codes are obtained by applying the Calderbank-Shor-Steane (CSS) construction. In order to do this, we show the existence of (classical) cyclic codes whose defining set consists of only one cyclotomic coset containing at least two consecutive integers.
متن کاملTwo Families of Quantum Codes Derived from Cyclic Codes
We characterize the affine-invariant maximal extended cyclic codes. Then by the CSS construction, we derive from these codes a family of pure quantum codes. Also for ordnq even, a new family of degenerate quantum stabilizer [[n, 1,≥ n]]q codes is derived from the classical duadic codes. This answer an open problem asked by Aly et al. MSC:[94B05, 94B15, 94B60 ]
متن کاملGood Quasi-Cyclic Codes Derived From Irreducible Cyclic Codes
As a generalization of cyclic codes, quasi-cyclic codes contain many good linear codes. Extensive search is made and lots of good quasi-cyclic codes are obtained from irreducible cyclic codes. A new binary [95, 13, 40] code which improves the lower bound on the minimum distance, is also constructed. Index Term — Codes and coding, linear codes, cyclic codes, idempotent, irreducible codes, quasi-...
متن کاملFrom skew-cyclic codes to asymmetric quantum codes
We introduce an additive but not F4-linear map S from Fn4 to F 4 and exhibit some of its interesting structural properties. If C is a linear [n, k, d]4-code, then S(C) is an additive (2n, 2 , 2d)4-code. If C is an additive cyclic code then S(C) is an additive quasi-cyclic code of index 2. Moreover, if C is a module θ-cyclic code, a recently introduced type of code which will be explained below,...
متن کاملQuantum Synchronizable Codes From Augmentation of Cyclic Codes
We propose a new method to construct quantum synchronizable codes from classical cyclic codes using the idea of augmented cyclic codes. The method augments a dual-containing cyclic code C2 to obtain another cyclic codes C1 of higher dimension. The resulting two cyclic codes and the dual code C⊥ 2 satisfy the containing property C⊥ 2 ⊂ C2 ⊂ C1. The proposed construction method based on general q...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2017
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-017-3399-2