Local Correctabilities and Dual Codes of Symmetric Reed-Muller Codes

Authors

Profile
Wei
Yan
University of Science and Technology of China
Image provided by Sian-Jheng Lin
Sian-Jheng
Lin
University of Science and Technology of China~(USTC)

Abstract

Recently, a variant of the Reed-Muller family, called symmetric Reed-Muller codes, was proposed. In this paper, we prove that multivariable symmetric Reed-Muller codes form a class of locally-correctable codes. Then, the dual codes of symmetric Reed-Muller codes are given.

Paper Manuscript