Abstract
In this note, it is shown that if there is a self-orthogonal 5-(96,20,816) design, then the rows of its block-point incidence matrix generate an extremal doubly-even self-dual code of length 96. In other words, a putative extremal doubly-even self-dual code of length 96 is generated by the codewords of minimum weight.
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Communicated by: J. D. Key
Dedicated to Professor Hadi Kharaghani on His 60th Birthday
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Harada, M. Remark on a 5-Design Related to a Putative Extremal Doubly-Even Self-Dual [96, 48, 20] Code. Des Codes Crypt 37, 355–358 (2005). https://doi.org/10.1007/s10623-004-3997-x
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DOI: https://doi.org/10.1007/s10623-004-3997-x