Masaaki Harada, Tsuyoshi Miezaki
Published 2012-05-31, updated 2012-07-24Version 2
For lengths 8,16 and 24, it is known that there is an extremal Type II Z2k-code for every positive integer k. In this paper, we show that there is an extremal Type II Z2k-code of lengths 32,40,48,56 and 64 for every positive integer k. For length 72, it is also shown that there is an extremal Type II Z4k-code for every positive integer k with k \ge 2.
Nonexistence for extremal Type II $\ZZ_{2k}$-Codes
An upper bound of the value of t of the support t-designs of extremal Type III and IV codes
Defective 2-colorings of planar graphs without 4-cycles and 5-cycles
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