Mutually Disjoint 5‐Designs and 5‐Spontaneous Emission Error Designs from Extremal Ternary Self‐Dual Codes |
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| Authors: | Jianying Fang Yanxun Chang |
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| Affiliation: | 1. Institute of Mathematics, Beijing Jiaotong University, Beijing, P. R. China;2. Computer Information Engineering Institute, Jiangxi Normal University, Nanchang, P. R. China |
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| Abstract: | It is known that extremal ternary self‐dual codes of length  mod 12) yield 5‐designs. Previously, mutually disjoint 5‐designs were constructed by using single known generator matrix of bordered double circulant ternary self‐dual codes (see 1, 2]). In this paper, a number of generator matrices of bordered double circulant extremal ternary self‐dual codes are searched with the aid of computer. Using these codes we give many mutually disjoint 5‐designs. As a consequence, a list of 5‐spontaneous emission error designs are obtained. |
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| Keywords: | spontaneous emission error design extremal ternary self‐dual code mutually disjoint 5‐designMathematical Subject Classification: 05B05 94B05 |
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