Details

Autor(en) / Beteiligte

• Ma, Junru
• Luo, Jinquan

Titel

MDS symbol-pair codes from repeated-root cyclic codes

Ist Teil von

• Designs, codes, and cryptography, 2022, Vol.90 (1), p.121-137

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2022

Link zum Volltext

Quelle

SpringerLink

Beschreibungen/Notizen

• Symbol-pair codes are proposed to protect against pair-errors in symbol-pair read channels. The research of symbol-pair codes with the largest possible minimum symbol-pair distance is of great significance since such codes have the best error-correcting capability. A symbol-pair code meeting the Singleton bound is called a maximum distance separable (MDS) symbol-pair code. In this paper, two new classes of MDS symbol-pair codes are proposed by utilizing repeated-root cyclic codes over finite fields with odd characteristic. It should be noted that these codes have minimum symbol-pair distance ten or twelve.