binary golay code
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2021 ◽  
Vol 25 (1) ◽  
pp. 35-46 ◽  
Author(s):  
Mohammad Saidur Rahman ◽  
Ibrahim Khalil ◽  
Xun Yi
Keyword(s):  


2019 ◽  
Vol 11 (05) ◽  
pp. 1950052
Author(s):  
Yilmaz Durğun

Self-dual and maximal self-orthogonal codes over [Formula: see text], where [Formula: see text] is even or [Formula: see text](mod 4), are extensively studied in this paper. We prove that every maximal self-orthogonal code can be extended to a self-dual code as in the case of binary Golay code. Using these results, we show that a self-dual code can also be constructed by gluing theory even if the sum of the lengths of the gluing components is odd. Furthermore, the (Hamming) weight enumerator [Formula: see text] of a self-dual code [Formula: see text] is given in terms of a maximal self-orthogonal code [Formula: see text], where [Formula: see text] is obtained by the extension of [Formula: see text].



2018 ◽  
pp. 97-100
Author(s):  
Juergen Bierbrauer
Keyword(s):  


2018 ◽  
Vol 87 (2-3) ◽  
pp. 341-347 ◽  
Author(s):  
Patric R. J. Östergård
Keyword(s):  




2016 ◽  
pp. 97-100
Author(s):  
Jürgen Bierbrauer
Keyword(s):  




Author(s):  
Ming-Zong Wu ◽  
Ming-Haw Jing ◽  
Chong-Dao Lee ◽  
Yaotsu Chang
Keyword(s):  


2014 ◽  
Vol 8 (1) ◽  
pp. 69-72 ◽  
Author(s):  
Suat Karadeniz ◽  
Bahattin Yildiz


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