New Self - Dual [ 54 , 27 , 10 ] Codes Extended from [ 52 , 26 , 10 ] Codes 1
نویسنده
چکیده
Using [52, 26, 10] binary self-dual codes, possesing an automorphism of order 3, we construct new [54, 27, 10] binary self-dual codes. We do this by applying a technique for extending a [2k, k, d] self-dual code to a [2k+2, k+1] self-dual code. Most of the constructed codes have new values of the parameter in their weight numerators,. We construct new codes with 20, 21, 22 for the first weight function and with 22, 23 for the second.
منابع مشابه
New results on the classification of binary self - dual [ 52 , 26 , 10 ] codes with an automorphism of odd prime order 1
The paper presents an important step toward the complete classification of all optimal binary self-dual codes of length 52 that possess an automorphism of odd prime order. Using a method for constructing and classifying binary self-dual codes with an automorphism of odd prime order p we give full classification of all [52, 26, 10] binary self-dual codes with an authomorphism of type 3-(16,4) an...
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