scholarly journals Classification of extremal double circulant self-dual codes of lengths 74–88

2006 ◽  
Vol 306 (17) ◽  
pp. 2064-2072 ◽  
Author(s):  
T. Aaron Gulliver ◽  
Masaaki Harada
Keyword(s):  
Dual Codes

scholarly journals Extremal binary self-dual codes of lengths 64 and 66 from four-circulant constructions over F2+uF2

Filomat ◽  
2014 ◽  
Vol 28 (5) ◽  
pp. 937-945 ◽  
Author(s):  
Suat Karadeniz ◽  
Bahattin Yildiz ◽  
Nuh Aydin
Keyword(s):  
Dual Codes ◽  
Weight Enumerators ◽  
Extension Method ◽  
Extremal Codes ◽  
New Codes ◽  
First Time

A classification of all four-circulant extremal codes of length 32 over F2 + uF2 is done by using four-circulant binary self-dual codes of length 32 of minimum weights 6 and 8. As Gray images of these codes, a substantial number of extremal binary self-dual codes of length 64 are obtained. In particular a new code with ?=80 in W64,2 is found. Then applying an extension method from the literature to extremal self-dual codes of length 64, we have found many extremal binary self-dual codes of length 66. Among those, five of them are new codes in the sense that codes with these weight enumerators are constructed for the first time. These codes have the values ?=1, 30, 34, 84, 94 in W66,1.

scholarly journals Classification of extremal double-circulant self-dual codes of length up to 62

1998 ◽  
Vol 188 (1-3) ◽  
pp. 127-136 ◽  
Author(s):  
Masaaki Harada ◽  
T.Aaron Gulliver ◽  
Hitoshi Kaneta
Keyword(s):  
Dual Codes

scholarly journals An Algorithm for Classification of Binary Self-Dual Codes

2012 ◽  
Vol 58 (6) ◽  
pp. 3933-3940 ◽  
Author(s):  
Stefka Bouyuklieva ◽  
Iliya Bouyukliev
Keyword(s):  
Dual Codes

scholarly journals A complete classification of ternary self-dual codes of length 24

2009 ◽  
Vol 116 (5) ◽  
pp. 1063-1072 ◽  
Author(s):  
Masaaki Harada ◽  
Akihiro Munemasa
Keyword(s):  
Complete Classification ◽  
Dual Codes

scholarly journals Classification of Quaternary Hermitian Self-Dual Codes of Length 20

2011 ◽  
Vol 57 (6) ◽  
pp. 3758-3762 ◽  
Author(s):  
Masaaki Harada ◽  
Akihiro Munemasa
Keyword(s):  
Dual Codes

scholarly journals On the classification of linear complementary dual codes

2019 ◽  
Vol 342 (1) ◽  
pp. 270-278 ◽  
Author(s):  
Makoto Araya ◽  
Masaaki Harada
Keyword(s):  
Dual Codes

Classification of Binary Self-Dual Codes of Length 40

2015 ◽  
Vol 61 (8) ◽  
pp. 4253-4258 ◽  
Author(s):  
Iliya Bouyukliev ◽  
Maria Dzhumalieva-Stoeva ◽  
Venelin Monev
Keyword(s):  
Dual Codes
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