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Equations for coefficients of tactical decomposition matrices for \(t\)-designs

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Abstract

Equations for coefficients of tactical decomposition matrices for 2-designs are well-known and they have been used for constructions of many examples of 2-designs. In this paper, we generalize these equations and propose an explicit equation system for coefficients of tactical decomposition matrices for \(t\text{-}(v,k,\lambda _t)\) designs, for any integer value of \(t.\)

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References

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Correspondence to Anamari Nakić.

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Communicated by L. Teirlinck.

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Krčadinac, V., Nakić, A. & Pavčević, M.O. Equations for coefficients of tactical decomposition matrices for \(t\)-designs. Des. Codes Cryptogr. 72, 465–469 (2014). https://doi.org/10.1007/s10623-012-9779-y

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  • DOI: https://doi.org/10.1007/s10623-012-9779-y

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