Slepian-type codes on a flat torus (original) (raw)

2002

Abstract

Quotients of R2 by translation groups are metric spaces known as flat tori. We start from codes which are vertices of closed graphs on a flat torus and, through an identification of these with a 2-D surface in a 3-D sphere in R4, we show such graph signal sets generate [M,4] Slepian-type cyclic codes for M=a2+b2; a,b∈Z, gcd (a,b)=1. The

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