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Triple Error Correcting Reed Solomon Decoder Design Using Galois Subfield Inverse Calculator And Table ROM  

An Hyeong-Keon (Department of Information & Communications Engineering, College of Engineering)
Hong Young-Jin (Department of Informations Security, College of Engineering)
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.31, no.1C, 2006 , pp. 8-13 More about this Journal
Abstract
A new RS(Reed Solomon) Decoder design method, using Galois Subfield GF($2^4$) Multiplier, is described. The Decoder is designed using Normalized error position stored ROM. Here New Inverse Calculator in GF($2^8$) is designed, which is simpler and faster than the classical GF($2^8$) direct inverse calculator, using the Galois Subfield GF($2^4$) Arithmatic operator.
Keywords
RS(Reed Solomon); Syndrome; Encoder; Decoder; Inversion; Error Locator polynomial; Galois Field(GF);
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