Codes over a subset of Octonion Integers

Abstract

In this paper we define codes over some Octonion integers. We prove that in some conditions these codes can correct up to two errors for a transmitted vector and the code rate of the codes is grater than the code rate of the codes defined on some subset of Quaternion integers.

References in corpus (1)

• Codes over Hurwitz integers

Cited by in corpus (1)

• About some properties of algebras obtained by the Cayley-Dickson process