The b-symbol weight hierarchy of the Kasami codes
Information Theory
2021-12-09 v1 Group Theory
math.IT
Abstract
The symbol-pair read channel was first proposed by Cassuto and Blaum. Later, Yaakobi et al. generalized it to the -symbol read channel. It is motivated by the limitations of the reading process in high density data storage systems. One main task in -symbol coding theory is to determine the -symbol weight hierarchy of codes. In this paper, we study the -symbol weight hierarchy of the Kasami codes, which are well known for their applications to construct sequences with optimal correlation magnitudes. The complete symbol-pair weight distribution of the Kasami codes is determined.
Keywords
Cite
@article{arxiv.2112.04019,
title = {The b-symbol weight hierarchy of the Kasami codes},
author = {Hongwei Zhu and Minjia Shi},
journal= {arXiv preprint arXiv:2112.04019},
year = {2021}
}