Title :
Decoding binary two-error correcting cyclic codes with Zech logarithms
Author :
Stevens, Patrick ; Ward, Harold N.
Author_Institution :
Generale Bank, Brussels, Belgium
fDate :
12/1/1992 12:00:00 AM
Abstract :
A decoding method for binary two-error correcting cyclic codes whose generator polynomials have at most two irreducible factors is presented. This class includes binary narrow-sense BCH codes with designed distance 5. The decoding algorithm uses the Zech logarithm for the finite field in which the roots of the code lie
Keywords :
BCH codes; cyclic codes; decoding; error correction codes; Zech logarithms; binary two-error correcting cyclic codes; decoding; finite field; generator polynomials; irreducible factors; narrow-sense BCH codes; Algebra; Codes; Communications Society; Decoding; Galois fields; Jacobian matrices; Mathematics; Polynomials; Rail to rail inputs;
Journal_Title :
Communications, IEEE Transactions on
