Title :
Decoding the ternary Golay code
Author :
Higgs, Russell J. ; Humphreys, John F.
Author_Institution :
Dept. of Math., Univ. Coll. Dublin, Ireland
fDate :
5/1/1993 12:00:00 AM
Abstract :
A decoding algorithm is presented for the ternary (11, 6, 5) Golay code. This algorithm is an algebraic decoding and relies on solving the Newton identities associated with the syndromes of the code. However, to complete the decoding some explicit values of Zech´s logarithms need to be established
Keywords :
decoding; error correction codes; (11, 6, 5) Golay code; Newton identities; Zech´s logarithms; algebraic decoding; decoding algorithm; ternary Golay code; Decoding; Gaussian noise; Mathematics; Noise robustness; Notice of Violation; Probability; Signal detection; Signal processing; Signal processing algorithms; Statistics; Testing; Virtual colonoscopy;
Journal_Title :
Information Theory, IEEE Transactions on
