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"... Abstract. A system of m nonzero vectors in Zn is called an m-icube if they are pairwise orthogonal and have the same length. The paper describes m-icubes in Z4 for 2 ≤ m ≤ 4 using Hurwitz integral quaternions, counts the number of them with given edge length, and proves that unlimited extension is p ..."

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Abstract. A system of m nonzero vectors in Zn is called an m-icube if they are pairwise orthogonal and have the same length. The paper describes m-icubes in Z4 for 2 ≤ m ≤ 4 using Hurwitz integral quaternions, counts the number of them with given edge length, and proves that unlimited extension is possible in Z4. 1. Introduction and