Automorphisms of doubly-even self-dual binary codes

Mathematics – Number Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Added a new proof for the main result

Scientific paper

The automorphism group of a binary doubly-even self-dual code is always contained in the alternating group. On the other hand, given a permutation group $G$ of degree $n$ there exists a doubly-even self-dual $G$-invariant code if and only if $n$ is a multiple of 8, every simple self-dual $\F_2G$-module occurs with even multiplicity in $\F_2^n$, and $G$ is contained in the alternating group.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Automorphisms of doubly-even self-dual binary codes 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 Automorphisms of doubly-even self-dual binary codes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Automorphisms of doubly-even self-dual binary codes will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-572855

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.