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# On The Dimension of SSRS Codes

Mehta, Sheetalkumar R and Rajan, Sundar B (2001) On The Dimension of SSRS Codes. In: 2001 IEEE International Symposium on Information Theory, 24-29 June, Washington, p. 178.

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## Abstract

A subspace subcode of Reed-Solomon (SSRS) [1] code is a subcode of a Reed-Solomon (RS) code (called the parent code) over $F_{p^m}$ consisting of codewords whose components all lie in a fixed v-dimensional $(over\hspace{5mm}F_p;\hspace{5mm}p-\hspace{5mm}a\hspace{5mm}prime)$ vector subspace V of $F_{p^}m$. In this paper we present a formula for the cardinality of an SSRS code by viewing V as an [m,v] linear code over $F_p$ with parity check matrix H. Our formula is in terms of H and counting the endomorphisms of $F_{p^m}$ satisfying certain conditions resulting from the DFT domain characterization of SSRS codes

Item Type: Conference Paper Copyright 1990 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. Division of Electrical Sciences > Electrical Communication Engineering 15 Feb 2006 19 Sep 2010 04:23 http://eprints.iisc.ernet.in/id/eprint/5364

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