Abstract
In this paper, we study when the incidence matrix of a symmetric (v, k, λ)-BIBD is a 3-frameproof code. We show the existence of infinite families of symmetric BIBDs that are 3-frameproof codes, as well as infinite families of symmetric BIBDs that are not 3-frameproof codes.
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Acknowledgements
Thanks to Charlie Colbourn, Hadi Kharaghani, William Orrick, and Behruz Tayfeh-Rezaie for helpful comments and for making us aware of some relevant papers. D. Stinson’s research is supported by NSERC discovery grant 203114-11.
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Dedicated to Hadi Kharaghani on the occasion on his 70th birthday
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Guo, C., Stinson, D.R., van Trung, T. (2015). On Symmetric Designs and Binary 3-Frameproof 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_10
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DOI: https://doi.org/10.1007/978-3-319-17729-8_10
Publisher Name: Springer, Cham
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