On the nonexistence of completely transitive codes

Authors
Citation
J. Borges et J. Rifa, On the nonexistence of completely transitive codes, IEEE INFO T, 46(1), 2000, pp. 279-280
Citations number
12
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
46
Issue
1
Year of publication
2000
Pages
279 - 280
Database
ISI
SICI code
0018-9448(200001)46:1<279:OTNOCT>2.0.ZU;2-Z
Abstract
Completely transitive codes were introduced by P, Sole as a special case of binary linear completely regular codes. The existence of such codes is closely related to the existence of certain permutation groups. The nonexistence of highly transitive permutation group s allows us to prove the nonexistence of completely transitive codes with e rror-correcting capability greater than 4.