Singly-Even Self-Dual Codes of Length 40 |
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| Authors: | Stefka Buyuklieva Vassil Yorgov |
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| Institution: | (1) Department of Mathematics and Computer Science, University St. St. Kiril and Methodii, Veliko Tirnovo, Bulgaria;(2) Department of Mathematics and Computer Science, Higher Pedagogical Institute Konstantin Preslavski, Shoumen, 9712, Bulgaria |
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| Abstract: | All singly-even self-dual 40,20,8] binary codes which have an automorphism of prime order
are obtained up to equivalence. There are two inequivalent codes with an automorphism of order 7 and 37 inequivalent codes with an automorphism of order 5. These codes have highest possible minimal distance and some of them are the first known codes with weight enumerators prescribed by Conway and Sloane. |
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| Keywords: | Self-dual codes weight enumerators extremal codes automorphisms |
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