# Divisible Codes - A Survey

Serdica Mathematical Journal (2001)

- Volume: 27, Issue: 4, page 263-278
- ISSN: 1310-6600

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topWard, 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 -

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