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A class of constacyclic codes

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1 Author(s)
J. M. Jensen ; Math. Inst., Tech. Univ. Denmark, Lyngby, Denmark

A class of qm-ary constacyclic codes is defined which has the property that the q-ary image is equivalent to a class of shortened cyclic codes. This description leads to the construction of nonlinear codes. As an example one can construct nonlinear codes of length N=qm+1 over the field GF(qm'), m'⩽m, with a minimum distance greater than N(1-R)m'/m, where R is the rate. For higher rates these codes are the best known. The codes are easily encoded and decoded

Published in:

IEEE Transactions on Information Theory  (Volume:40 ,  Issue: 3 )