On the Classification of Self-dual Z_k-Codes

摘要

A classification of self-dual Z_k-codes of modest lengths is known for small k. For k = 4, 6, 8, 9 and 10, the classification of self-dual Z_k-codes is extended to lengths 19, 12, 12, 12 and 10, respectively, by considering k-frames of unimodular lattices.