Divisible Codes - A Survey

Ward, Harold. "Divisible Codes - A Survey." Serdica Mathematical Journal 27.4 (2001): 263-278. <http://eudml.org/doc/11539>.

@article{Ward2001,
abstract = {This paper surveys parts of the study of divisibility properties of codes. The survey begins with the motivating background involving polynomials over finite fields. Then it presents recent results on bounds and applications to optimal codes.},
author = {Ward, Harold},
journal = {Serdica Mathematical Journal},
keywords = {Divisible Code; Theorem of Ax; Reed-Muller Code; Group Algebra; Delsarte-Mceliece Theorem; Polarization; Self-Dual Code; Gleason-Pierce Theorem; Griesmer Bound; Optimal Code; divisible codes; theorem of Ax; Reed-Muller codes; group algebra; Delsarte-McEliece theorem; polarization; self-dual codes; Gleason-Pierce theorem; Griesmer codes; optimal codes; divisible code bound},
language = {eng},
number = {4},
pages = {263-278},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Divisible Codes - A Survey},
url = {http://eudml.org/doc/11539},
volume = {27},
year = {2001},
}

TY - JOUR
AU - Ward, Harold
TI - Divisible Codes - A Survey
JO - Serdica Mathematical Journal
PY - 2001
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 27
IS - 4
SP - 263
EP - 278
AB - This paper surveys parts of the study of divisibility properties of codes. The survey begins with the motivating background involving polynomials over finite fields. Then it presents recent results on bounds and applications to optimal codes.
LA - eng
KW - Divisible Code; Theorem of Ax; Reed-Muller Code; Group Algebra; Delsarte-Mceliece Theorem; Polarization; Self-Dual Code; Gleason-Pierce Theorem; Griesmer Bound; Optimal Code; divisible codes; theorem of Ax; Reed-Muller codes; group algebra; Delsarte-McEliece theorem; polarization; self-dual codes; Gleason-Pierce theorem; Griesmer codes; optimal codes; divisible code bound
UR - http://eudml.org/doc/11539
ER -