5 papers
Self-Orthogonal Twisted Generalized Reed-Solomon Codes and Their Application to Quantum Error-Correcting Codes
Yanxin Chen, Yanli Wang, Tongjiang Yan
In this paper, two classes of twisted generalized Reed-Solomon (TGRS) codes with multi-twists are studied. Firstly, some sufficient and necessary conditions for these codes to be s…
MDS and NMDS Codes from the Extended Twisted Generalized Reed-Solomon Codes
Yanli Wang, Yanxin Chen, Tongjiang Yan
This paper contributes to maximum distance separable (MDS) and near MDS (NMDS) properties of the extended generalized twisted Reed-Solomon (TGRS) codes. Firstly, a family of extend…
Hermitian Self-dual Twisted Generalized Reed-Solomon Codes
Chun'e Zhao, Yuxin Han, Wenping Ma +2
Self-dual maximum distance separable (MDS) codes over finite fields are linear codes with significant combinatorial and cryptographic applications. Twisted generalized Reed-Solomon…
Construction of Self-Orthogonal Quasi-Cyclic Codes and Their Application to Quantum Error-Correcting Codes
Mengying Gao, Yuhua Sun, Tongjiang Yan +1
In this paper, necessary and sufficient conditions for the self-orthogonality of t-generator quasi-cyclic (QC) codes are presented under the Euclidean, Hermitian, and symplectic in…
Extremal Self-Dual Codes and Linear Complementary Dual Codes from Double Circulant Codes
Wenyu Han, Tongjiang Yan, Ming Yan
This paper explores extremal self-dual double circulant (DC) codes and linear complementary dual (LCD) codes of arbitrary length over the Galois field . We establish t…