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Distance Distributions and Energy of Designs in Hamming Spaces

Boyvalenkov, Peter; Marinova, Tanya; Stoyanova, Maya; Sukalinska, Mila — 2015

Serdica Journal of Computing

We obtain new combinatorial upper and lower bounds for the potential energy of designs in q-ary Hamming space. Combined with results on reducing the number of all feasible distance distributions of such designs this gives reasonable good bounds. We compute and compare our lower bounds to recently obtained universal lower bounds. Some examples in the binary case are considered.

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