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math.CO2013★ 10 cited
On the support designs of extremal binary doubly even self-dual codes
Naoyuki Horiguchi, Tsuyoshi Miezaki, Hiroyuki Nakasora
Let D be the support design of the minimum weight of an extremal binary doubly even self-dual [24m,12m,4m+4] code. In this note, we consider the case when D becomes a t-design with…
math.CO2013
An upper bound of the value of t of the support t-designs of extremal binary doubly even self-dual codes
Tsuyoshi Miezaki, Hiroyuki Nakasora
Let C be an extremal binary doubly even self-dual code of length n and s(C) denote the largest integer t such that the support design of C holds a t-design for some weight. In this…
math.CO2013
On the Existence of Frames of Some Extremal Odd Unimodular Lattices and Self-Dual Zk-Codes
Masaaki Harada, Tsuyoshi Miezaki
For some extremal (optimal) odd unimodular lattices L in dimensions n=12,16,20,32,36,40 and 44, we determine all positive integers k such that L contains a k-frame. This result yie…