The b-symbol weight hierarchy of the Kasami codes [article]

Hongwei Zhu, Minjia Shi
2021 arXiv   pre-print
The symbol-pair read channel was first proposed by Cassuto and Blaum. Later, Yaakobi et al. generalized it to the b-symbol read channel. It is motivated by the limitations of the reading process in high density data storage systems. One main task in b-symbol coding theory is to determine the b-symbol weight hierarchy of codes. In this paper, we study the b-symbol weight hierarchy of the Kasami codes, which are well known for their applications to construct sequences with optimal correlation
more » ... itudes. The complete symbol-pair weight distribution of the Kasami codes is determined.
arXiv:2112.04019v1 fatcat:r3ccvtogujft7aptozv6nddh5m