Publication: Research - peer-review › Journal article – Annual report year: 2010
We consider a new class of linear codes, called affine Grassmann codes. These can be viewed as a variant of generalized Reed-Muller codes and are closely related to Grassmann codes.We determine the length, dimension, and the minimum distance of any affine Grassmann code. Moreover, we show that affine Grassmann codes have a large automorphism group and determine the number of minimum weight codewords.
|Citations||Web of Science® Times Cited: 6|
- Grassmann codes, Automorphism group, Number of minimum weight codewords