| 1. |
- Chen, Eric Zhi
(författare)
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An explicit construction of 2-generator quasi-twisted codes
- 2008
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Ingår i: IEEE Transactions on Information Theory. - : Institute of Electrical and Electronics Engineers Inc.. - 0018-9448 .- 1557-9654. ; 54:12, s. 5770-5773
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Tidskriftsartikel (refereegranskat)abstract
- 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.
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| 2. |
- Chen, Eric Zhi
(författare)
-
New quasi-cyclic codes from simplex codes
- 2007
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Ingår i: IEEE Transactions on Information Theory. - : Institute of Electrical and Electronics Engineers Inc.. - 0018-9448 .- 1557-9654. ; 53:3, s. 1193-1196
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Tidskriftsartikel (refereegranskat)abstract
- As a generalization of cyclic codes, quasi-cyclic (QC) codes contain many good linear codes. But quasi-cyclic codes studied so far are mainly limited to one generator (1-generator) QC codes. In this correspondence, 2-generator and 3-generator QC codes are studied, and many good, new QC codes are constructed from simplex codes. Some new binary QC codes or related codes, that improve the bounds on maximum minimum distance for binary linear codes are constructed. They are 5-generator QC [93 17 34] and [254,23, 102] codes, and related [96, 17, 361, [256, 23,104] codes.
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