Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4647436 | Discrete Mathematics | 2014 | 5 Pages |
Abstract
A new family of binary linear completely transitive (and, therefore, completely regular) codes is constructed. The covering radius of these codes is growing with the length of the code. In particular, for any integer Ïâ¥2, there exist two codes with d=3, covering radius Ï and length (4Ï2) and (4Ï+22), respectively. These new completely transitive codes induce, as coset graphs, a family of distance-transitive graphs of growing diameter.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Josep Rifà , Victor A. Zinoviev,