Product and interleaving of anticodes

Two techniques are presented for constructing new anticodes from known anticodes, namely the product and interleaving of anticodes. The product of anticodes (m₁, k₁, delta ₁) and (m₂, k₂, delta ₂) produces an (m₁m₂, k₁k₂, delta ) anticode, where delta ₁ delta ₂1 delta ₂,m₂ delta ₁). Interleaving of degree lambda of an (m, k, delta ) anticode produces an (m lambda , k lambda , delta lambda ) anticode. The efficiency of these constructions is examined in terms of the Griesmer bound for the binary case. As a result a rule is derived for selecting anticodes which can be efficiently combined either by product or interleaving.