On the dimension of SSRS codes

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 13 Nov 2002 India Publisher:IEEEJournal:Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)

Authors: Mehta, Sheetalkumar R; Rajan, Sundar B;

doi: 10.1109/isit.2001.936041

On the dimension of SSRS codes

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Abstract

A subspace subcode of Reed-Solomon (SSRS) code (Hattori et al. 1998) is a subcode of a Reed-Solomon (RS) code (called the parent code) over F/sub p/m consisting of codewords whose components all lie in a fixed v-dimensional (over F/sub p/; p- a prime) vector subspace V of F/sub p/m. In this paper we present a formula for the cardinality of an SSRS code by viewing V as an [m,v] linear code over F/sub p/ with parity check matrix H. Our formula is in terms of H and counting the endomorphisms of F/sub p/m satisfying certain conditions resulting from the DFT domain characterization of SSRS codes.

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Electrical Communication Engineering

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