A Search for New Optimal Singly - Even Self - Dual Codes of Length 48
نویسندگان
چکیده
The best binary self-dual singly-even codes of length 48 have minimal weight 10 and are called optimal. There are 75 such codes found by Harada at al. in 2005. We use the method for constructing self-dual codes via automorphism of order three to find 102 optimal self-dual singly-even codes of length 48. We use computer algebra system Magma to construct the codes to compute their weight enumerators and automorphism groups. Each of our codes has exactly 768 vectors of weight 10 and automorphism group of order 3 or 6. As a result, the pool of known optimal singly-even self-dual codes of length 48 is increased to 177. We check that all these codes are pair wise inequivalent.
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تاریخ انتشار 2012