| 1. |
- Chen, Eric Zhi, 1963-
(author)
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An explicit construction of 2-generator quasi-twisted codes
- 2008
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In: IEEE Transactions on Information Theory. - 0018-9448 .- 1557-9654. ; 54:12, s. 5770-5773
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Journal article (peer-reviewed)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
(author)
-
An explicit construction of 2-generator quasi-twisted codes
- 2008
-
In: IEEE Transactions on Information Theory. - : Institute of Electrical and Electronics Engineers Inc.. - 0018-9448 .- 1557-9654. ; 54:12, s. 5770-5773
-
Journal article (peer-reviewed)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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| 3. |
- Chen, Eric Zhi, 1963-
(author)
-
Computer construction of quasi-twisted two-weight codes
- 2009
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In: Proceedings of the sixth International Workshop on Optimal Codes and Related Topics. - Varna, Bulgaria. ; , s. 62-68
-
Conference paper (peer-reviewed)abstract
- A code is said two-wight if the non-zero codewords have only two different weights w1 and w2. In this paper, it is generalized that a consta-cyclic code of composite length can be put in the quasi-twisted (QT) form. Based on this result, a new computer method of QT two-weight codes is presented. A large amount of QT two-weight codes are found, and several new codes are also constructed.
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| 4. |
- Chen, Eric Zhi
(author)
-
Computer construction of quasi-twisted two-weight codes
- 2009
-
Conference paper (other academic/artistic)abstract
- A code is said two-wight if the non-zero codewords have only two different weights w1 and w2. In this paper, it is generalized that a consta-cyclic code of composite length can be put in the quasi-twisted (QT) form. Based on this result, a new computer method of QT two-weight codes is presented. A large amount of QT two-weight codes are found, and several new codes are also constructed.
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| 5. |
- Chen, Eric Zhi, 1963-
(author)
-
Constructions of 2-generator quasi-cyclic codes
- 2006
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In: Proceedings of the tenth International Workshop on Algebraic and Combinatorial Coding Theory. - Zvenigorod : Institute of Information Transmission Problems of Russian Academy of Sciences. ; , s. 60-63
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Conference paper (peer-reviewed)
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| 6. |
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| 7. |
- Chen, Eric Zhi, 1963-
(author)
-
Constructions of quasi-cyclic two-weigh codes
- 2006
-
In: Proc. of the tenth International Workshop on Algebraic and Combinatorial Coding Theory (ACCT-10). ; , s. 56-59
-
Conference paper (peer-reviewed)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 paper, 2-generator QC codes are studied, and many good 2-generator QC codes are constructed using simplex codes. A computer algorithm is given, and used to find the best possible 2-generator QC codes. Among those 2-generator QC codes constructed, some codes are two-weight codes.
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| 8. |
- Chen, Eric Zhi
(author)
-
Constructions of quasi-cyclic two-weigh codes
- 2006
-
Conference paper (other academic/artistic)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 paper, 2-generator QC codes are studied, and many good 2-generator QC codes are constructed using simplex codes. A computer algorithm is given, and used to find the best possible 2-generator QC codes. Among those 2-generator QC codes constructed, some codes are two-weight codes.
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| 9. |
- Chen, Eric Zhi, 1963-
(author)
-
Good quasi-cyclic codes derived from irreducible cyclic codes
- 2005
-
In: Proceedings of Optimal Codes and Related Topics (OC2005). ; , s. 74-81
-
Conference paper (peer-reviewed)abstract
- As a generalization of cyclic codes, quasi-cyclic codes contain many good linear codes. Extensive search is made and lots of good quasi-cyclic codes are obtained from irreducible cyclic codes. A new binary [95, 13, 40] code which improves the lower bound on the minimum distance, is also constructed.
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| 10. |
- Chen, Eric Zhi
(author)
-
Good quasi-cyclic codes derived from irreducible cyclic codes
- 2005
-
Conference paper (other academic/artistic)abstract
- As a generalization of cyclic codes, quasi-cyclic codes contain many good linear codes. Extensive search is made and lots of good quasi-cyclic codes are obtained from irreducible cyclic codes. A new binary [95, 13, 40] code which improves the lower bound on the minimum distance, is also constructed.
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