On Semigroups Generated by Two Consecutive Integers and Improved Hermitian Codes

Analysis of the Berlekamp-Massey-Sakata algorithm for decoding one-point codes leads to two methods for improving code rate. One method, due to Feng and Rao, removes parity checks that may be recovered by their majority voting algorithm. The second method is to design the code to correct only those...

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Veröffentlicht in:	IEEE transactions on information theory 2007-07, Vol.53 (7), p.2560-2566
Hauptverfasser:	Bras-Amoros, M., O'Sullivan, M.E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithm design and analysis Algorithms Analysis Applied sciences Arithmetic Coding, codes Criteria Decoding Design engineering Design methodology Error correction codes Exact sciences and technology Feng-Rao improved code Galois fields Geometry Hermitian curve Information systems Information theory Information, signal and communications theory Integer programming Integers Mathematical analysis Mathematical models Methods numerical semigroup Parity check codes Redundancy Signal and communications theory Telecommunications and information theory Vectors (mathematics) Voting
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