Mathematics – Combinatorics
Scientific paper
2008-02-11
Mathematics
Combinatorics
16 pages
Scientific paper
H. Cohn et. al. proposed an association scheme of 64 points in R^{14} which is conjectured to be a universally optimal code. We show that this scheme has a generalization in terms of Kerdock codes, as well as in terms of maximal real mutually unbiased bases. These schemes also related to extremal line-sets in Euclidean spaces and Barnes-Wall lattices. D. de Caen and E. R. van Dam constructed two infinite series of formally dual 3-class association schemes. We explain this formal duality by constructing two dual abelian schemes related to quaternary linear Kerdock and Preparata codes.
Abdukhalikov Kanat
Bannai Eiichi
Suda Sho
No associations
LandOfFree
Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-625079