New self-dual additive ${\mathbb{F}}_4$-codes constructed from circulant graphs

Abstract

In order to construct quantum $[[n,0,d]]$ codes for $(n,d)=(56,15)$, $(57,15)$, $(58,16)$, $(63,16)$, $(67,17)$, $(70,18)$, $(71,18)$, $(79,19)$, $(83,20)$, $(87,20)$, $(89,21)$, $(95,20)$, we construct self-dual additive ${\mathbb{F}}_4$-codes of length $n$ and minimum weight $d$ from circulant graphs. The quantum codes with these parameters are constructed for the first time.

11 pages

References in corpus (1)

• Additive codes over $GF(4)$ from circulant graphs

Cited by in corpus (3)

• Relation between spectra of Narain CFTs and properties of associated boolean functions
• New quantum codes constructed from some self-dual additive ${\mathbb{F}}_4$-codes
• Isodual and Self-dual Codes from Graphs