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An Explicit Construction of 2 -Generator Quasi-Twisted Codes

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1 Author(s)
Eric Z. Chen ; Dept. of Comput. Sci., Kristianstad Univ. Coll., Kristianstad

Quasi-twisted (QT) codes are a generalization of quasi-cyclic (QC) codes. Based on consta-cyclic simplex codes, a new explicit construction of a family of 2-generator quasi-twisted (QT) two-weight codes is presented. It is also shown that many codes in the family meet the Griesmer bound and therefore are length-optimal. New distance-optimal binary QC [195, 8, 96], [210, 8, 104], and [240, 8, 120] codes, and good ternary QC [208, 6, 135] and [221, 6, 144] codes are also obtained by the construction.

Published in:

IEEE Transactions on Information Theory  (Volume:54 ,  Issue: 12 )