论文信息 - New quinary linear codes from quasi-twisted codes and their duals

New quinary linear codes from quasi-twisted codes and their duals

Abstract One of the central problems in algebraic coding theory is construction of linear codes with best possible parameters. Quasi-twisted (QT) codes have been promising to solve this problem. Despite extensive search in this class and discovery of a large number of new codes, we have been able to find still more new codes that are QT over the alphabet F 5 using a more comprehensive search strategy.

Nuh Aydin | Ryan Ackerman

[1] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.

[2] Rumen N. Daskalov,et al. New minimum distance bounds for linear codes over GF(5) , 2004, Discret. Math..

[3] Rumen N. Daskalov. Some high-rate linear codes over GF(5) and GF(7) , 2007, Probl. Inf. Transm..

[4] Eric Z. Chen. An Explicit Construction of 2-Generator Quasi-Twisted Codes , 2008, IEEE Trans. Inf. Theory.

[5] Dwijendra K. Ray-Chaudhuri,et al. New ternary quasi-cyclic codes with better minimum distances , 2000, IEEE Trans. Inf. Theory.

[6] Dwijendra K. Ray-Chaudhuri,et al. The Structure of 1-Generator Quasi-Twisted Codes and New Linear Codes , 2001, Des. Codes Cryptogr..

[7] Vijay K. Bhargava,et al. Two new rate 2/p binary quasi-cyclic codes , 1994, IEEE Trans. Inf. Theory.

[8] Rumen N. Daskalov,et al. New quasi-twisted degenerate ternary linear codes , 2003, IEEE Trans. Inf. Theory.

[9] Irfan Siap,et al. New quasi-cyclic codes over F5 , 2002, Appl. Math. Lett..

[10] KenyonCollege Gambier. Some Open Problems on Quasi-Twisted and Related Code Constructions and Good Quaternary Codes , 2007 .

[11] Wieb Bosma,et al. Discovering mathematics with Magma : reducing the abstract to the concrete , 2006 .