Self-dual codes with an automorphism of order 13
نویسندگان
چکیده
In this paper, we study optimal binary self-dual codes with minimum distance 12 having an automorphism of order 17. We prove that all such codes have parameters [68 + f, 34 + f/2, 12], f = 0, 2, 4 and an automorphism of type 17 − (4, f), f = 0, 2, 4 and provide a full classification of these codes. This classification gives new values β = 17, 153, 170, 187, 221, 255 for γ = 0 in the weight enumerator W68,2 of [68, 34, 12] codes; new values β = 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, and 612 for γ = 0 in W70,1 of [70, 35, 12] codes; and numerous singly-even and doubly-even [72, 36, 12] codes with new parameters in their weight enumerators. AMS subject classifications: 94B05
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ورودعنوان ژورنال:
- Adv. in Math. of Comm.
دوره 11 شماره
صفحات -
تاریخ انتشار 2017