Eighth Power Residue Double Circulant Self-Dual Codes

Changsong Jiang ； Yuhua Sun ； Xueting Liang

《International Journal of Network Security》 22卷5期 (2020/09) Pp. 736-742

https://doi.org/10.6633/IJNS.202009_22(5).03

摘要

Self-dual codes are one of the most important classes of linear codes. Power residue classes are widely used in the constructions of linear codes and pseudo-random sequences. In this paper, we give new constructions of self-dual codes over GF(2) and GF(4) by eighth power residues. We get multiple pure double circulant codes and bordered double circulant codes. Some of these new self-dual codes have large minimum distances.

關鍵字

Cyclotomic Number ； Double Circulant Code ； Eighth Power Residues ； Self-Dual Code