5 papers
Covering Radius and Deep Holes of Hyperderivative Reed-Solomon Codes under the NRT Metric
Zhihao Zhu, Haojie Gu, Jun Zhang +1
The deep hole problem is a fundamental problem in coding theory, and it has many important applications in code constructions and cryptography. The deep hole problem of Reed-Solomo…
Duality and Reverse Self-Dual Constructions for Hyperderivative Reed-Solomon Codes
Hongchang Li, Zhihao Zhu, Weijun Fang +2
Hyperderivative Reed-Solomon (HRS) codes form a class of maximum-distance-separable codes under the Niederreiter-Rosenbloom-Tsfasman metric and may be viewed as a derivative-evalua…
The dimensions of Schur squares of HRS codes
Haojie Gu, Zhihao Zhu, Jun Zhang
The Schur square of linear codes over a finite field has emerged as a fundamental operation in both classical and quantum coding theory. In this paper, we investigate the Schur squ…
Unique Decoding of Hyperderivative Reed-Solomon Codes
Haojie Gu, Jun Zhang
Error-correcting codes are combinatorial objects designed to cope with the problem of reliable transmission of information on a noisy channel. A fundamental problem in coding theor…
Deep holes of a class of twisted Reed-Solomon codes
Haojie Gu, Nan Wang, Jun Zhang
The deep hole problem is a fundamental problem in coding theory, and it has many important applications in code constructions and cryptography. The deep hole problem of Reed-Solomo…