On the number of 1-perfect binary codes: a lower bound

Mathematics – Combinatorics

Scientific paper

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5pp(Eng)+7pp(Rus) V2: revised V3: + Russian version, + references

Scientific paper

10.1109/TIT.2008.917692

We present a construction of 1-perfect binary codes, which gives a new lower
bound on the number of such codes. We conjecture that this lower bound is
asymptotically tight.

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