Nordstrom-Robinson code and A < inf> 7 -geometry
Document Type
Article
Publication Date
1-1-2007
Abstract
The Nordstrom-Robinson code NR is a nonlinear binary code of length 16, with 28 codewords and minimum distance 6. Its automorphism group is a semidirect product of an elementary abelian group of order 16 and the alternating group A7 . This group and the corresponding action of A7 is also at the origin of the sporadic A7-geometry. We construct this geometry and derive the Nordstrom-Robinson code from it. © 2006 Elsevier Inc. All rights reserved.
Publication Title
Finite Fields and their Applications
Recommended Citation
Bierbrauer, J.
(2007).
Nordstrom-Robinson code and A < inf> 7 -geometry.
Finite Fields and their Applications,
13(1), 158-170.
http://doi.org/10.1016/j.ffa.2005.05.004
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/6398