Abstract
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 Euclid-ean sums of linear codes generated by Vandermonde matrices over finite fields.Moreover,these optimal asymmetric quantum error-correcting codes constructed in this paper are different from the ones in the literature.
基金项目
Scientific Research Foundation of Hubei Provincial Education Department of China(Q20174503)
National Science Foundation of Hubei Polytechnic University of China(12xjz14A)
National Science Foundation of Hubei Polytechnic University of China(17xjz03A)
维普
万方数据