DocumentCode
2024031
Title
New Constructions of a Family of 2-Generator Quasi-Cyclic Two-Weight Codes and Related Codes
Author
Chen, E.Z.
Author_Institution
Kristianstad Univ., Kristianstad
fYear
2007
fDate
24-29 June 2007
Firstpage
861
Lastpage
864
Abstract
Based on cyclic simplex codes, a new construction of a family of two-weight codes is given. These two-weight codes are in a simple 2-generator quasi-cyclic form. Based on this construction, new optimal binary quasi-cyclic [195, 8, 96], [210, 8, 104] and [240, 8, 120] codes, good QC ternary [195, 6, 126], [208, 6, 135], [221, 6, 144] codes are thus obtained. It is also shown that some codes that meet the Griesmer bound and thus are optimal. Furthermre, binary self-complementary codes in a 3-generator quasi-cyclic form, are also constructed.
Keywords
binary codes; cyclic codes; ternary codes; 2-generator quasi cyclic two-weight codes; QC ternary codes; binary self-complementary codes; related codes; Algebra; Gas insulated transmission lines; Linear code; Polynomials; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location
Nice
Print_ISBN
978-1-4244-1397-3
Type
conf
DOI
10.1109/ISIT.2007.4557332
Filename
4557332
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