New symmetric (61,16,4) designs obtained from codes

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Abstract

The binary codes spanned by the blocks of the six known symmetric (61,16,4) designs and their automorphism groups are used for the construction of 17,350 new nonisomorphic symmetric designs with these parameters.

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Crnković, D., Rukavina, S., & Tonchev, V. D. (2015). New symmetric (61,16,4) designs obtained from codes. In Algebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Canada, July 2014 (Vol. 133, pp. 61–69). Springer International Publishing. https://doi.org/10.1007/978-3-319-17729-8_5

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