Abstract
In this paper, we consider the problem of the existence of a basis of orthogonal vectors of norm 2k in the Leech lattice. Recently it has been shown that there is such a basis for every k (≥2) which is not of the form 11r. In this paper, this problem is completely settled by finding such a basis for k=11. This is established by constructing an extremal Type II Z22-code of length 24.
Original language | English |
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Pages (from-to) | 185-188 |
Number of pages | 4 |
Journal | Journal of Combinatorial Theory. Series A |
Volume | 95 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2001 Jul |
Externally published | Yes |
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics