Abstract
In this paper we undertake a study of the Lee scheme. We give in this context a new proof of Bassalygo's generalization of Lloyd Theorem, and an asymptotic estimate of the number of zeroes of the Lloyd polynomial.
We obtain a recursion on the Lee composition distribution of the translates of a code and deduce from that an upper bound on the covering radius of a code.
We give an algebraic characterization of T-designs in this scheme, which shows that they form a special class of orthogonal arrays.
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© 1988 Springer-Verlag Berlin Heidelberg
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Sole, P. (1988). The les association scheme. In: Cohen, G., Godlewski, P. (eds) Coding Theory and Applications. Coding Theory 1986. Lecture Notes in Computer Science, vol 311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19368-5_5
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DOI: https://doi.org/10.1007/3-540-19368-5_5
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