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Syndrome Decoding of Reed–Solomon Codes Beyond Half the Minimum Distance Based on Shift-Register Synthesis

✍ Scribed by Schmidt, G.; Sidorenko, V.R.; Bossert, M.

Book ID
114642317
Publisher
IEEE
Year
2010
Tongue
English
Weight
280 KB
Volume
56
Category
Article
ISSN
0018-9448

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On Multisequence Shift Register Synthesi
On Multisequence Shift Register Synthesis and Generalized-Minimum-Distance Decoding of Reed-Solomon Codes
✍ N. Kamiya 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 618 KB

In this paper. it is shown that the problem of generalized-minimum-distance (GMD) decoding of Reed-Solomon (RS) codes can be reduced to the problem of multisequence shift register synthesis, and a simple algorithm is presented that yields a solution for this problem by finding, for \(k=1,2, \ldots\)