On the residue codes of self-dual Z4-codes with large minimum Lee weights.
Masaaki Harada · arXiv (Cornell University) · 2014
It is shown that the residue code of a self-dual Z4-code of length 24k (resp. 24k + 8) and minimum Lee weight 8k + 4 or 8k + 2 (resp. 8k + 8 or 8k + 6) is a binary extremal doubly even self-dual code for every positive integer k. A number of self-dual Z4-codes of length 24 and minimum Lee weight 10 are constructed using the above characterization. A Type I Z4-code of length 48 and minimum Euclidean weight 20 is also constructed for the first time.