# A construction of codes with linearity from two linear codes

• Published 2016 in Cryptography and Communications

#### Abstract

Let 𝔽 p $\mathbb {F}_{p}$ be a finite field, where p is a prime. This paper presents a new construction of a code C $\mathcal C$ over 𝔽 p 2 $\mathbb {F}_{p^{2}}$ from two linear codes over 𝔽 p $\mathbb {F}_{p}$ , which has 𝔽 p $\mathbb {F}_{p}$ -linearity and its minimum distance is equal to its minimum nonzero weight. Based on our construction, we… (More)
DOI: 10.1007/s12095-016-0193-6