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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Acknowledgements
The authors wish to thank the unknown referee for making several very useful suggestions. This work has been supported in part by Croatian Science Foundation under the project 1637. Vladimir Tonchev acknowledges support by an NSA research grant H98230-15-1-0042.
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Dedicated to Hadi Kharaghani on the occasion on his 70th birthday
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Crnković, D., Rukavina, S., Tonchev, V.D. (2015). New Symmetric (61,16,4) Designs Obtained from Codes. In: Colbourn, C. (eds) Algebraic Design Theory and Hadamard Matrices. Springer Proceedings in Mathematics & Statistics, vol 133. Springer, Cham. https://doi.org/10.1007/978-3-319-17729-8_5
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DOI: https://doi.org/10.1007/978-3-319-17729-8_5
Publisher Name: Springer, Cham
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