Optimal Asymmetric Quantum Codes from the Euclidean Sums of Linear Codes  

作　　者：XU Peng LIU Xiusheng 

机构地区：[1]School of Science and Technology,College of Arts and Science of Hubei Normal University,Huangshi 435109,Hubei,China

出　　处：《Wuhan University Journal of Natural Sciences》2024年第1期45-50,共6页武汉大学学报（自然科学英文版）

基　　金：Supported by the Scientific Research Foundation of Hubei Provincial Education Department of China(Q20174503);the National Science Foundation of Hubei Polytechnic University of China(12xjz14A and 17xjz03A)。

摘　　要：In this paper,we first give the definition of the Euclidean sums of linear codes,and prove that the Euclidean sums of linear codes are Euclidean dual-containing.Then we construct two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of the Reed-Solomon codes,and two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of linear codes generated by Vandermonde matrices over finite fields.Moreover,these optimal asymmetric quantum errorcorrecting codes constructed in this paper are different from the ones in the literature.

关 键 词：Euclidean sums of linear codes optimal asymmetric quantum errorcorrecting codes vandermonde matrices Reed-Solomon codes 

分 类 号：O236.2[理学—运筹学与控制论]