标题： 最优量子$(r,δ)$-局部修复码来自矩阵乘积码 显示英文标题

标题： Optimal Quantum $(r,δ)$-Locally Repairable Codes From Matrix-Product Codes

摘要： 本文研究了从矩阵乘积（MP）码中得到的最优量子$(r,\delta)$-LRCs。 我们建立了MP码成为最优$(r,\delta)$-LRC 的必要充分条件。 基于此，我们给出了具有嵌套分量码的MP码中最优量子$(r,\delta)$-LRCs 的特征，同时也研究了由非嵌套分量码构造的最优量子$(r,\delta)$-LRCs。 通过厄米特自正交和欧几里得自正交的MP码，我们提出了五个具有灵活参数的最优量子$(r,\delta)$-LRCs 的无限族。 显示英文摘要

摘要： This paper studies optimal quantum $(r,\delta)$-LRCs from matrix-product (MP) codes. We establish a necessary and sufficient condition for an MP code to be an optimal $(r,\delta)$-LRC. Based on this, we present a characterization for optimal quantum $(r,\delta)$-LRCs from MP codes with nested constituent codes, and also study optimal quantum $(r,\delta)$-LRCs constructed from MP codes with non-nested constituent codes. Through Hermitian dual-containing and Euclidean dual-containing MP codes, we present five infinite families of optimal quantum $(r,\delta)$-LRCs with flexible parameters.