IJPAM: Volume 12, No. 3 (2004)
CATEGORICAL CODE CONSTRUCTIONS
G.R. Blakley
, I. Borosh
, T. Holcomb
, A. Klappenecker
Department of Mathematics
Texas A&M University
College Station, TX 77843-3368, USA
e-mail: blakley@math.tamu.edu
e-mail: borosh@math.tamu.edu
Air Force Research Laboratory
3550 Aberdeen Ave SE
Kirtland AFB, NM 87117, USA
Department of Computer Science
Texas A&M University
College Station, TX 77843-3112, USA
e-mail: klappi@cs.tamu.edu
, I. Borosh, T. Holcomb, A. Klappenecker
Department of Mathematics
Texas A&M University
College Station, TX 77843-3368, USA
e-mail: blakley@math.tamu.edu
e-mail: borosh@math.tamu.edu
Air Force Research Laboratory
3550 Aberdeen Ave SE
Kirtland AFB, NM 87117, USA
Department of Computer Science
Texas A&M University
College Station, TX 77843-3112, USA
e-mail: klappi@cs.tamu.edu
Abstract.We study categories of codes and precodes. The objects in
these categories capture the encoding and decoding process of error
control codes, source codes, or cryptographic codes. We show that
these categories are complete and cocomplete. This gives a wealth of
new code constructions.
Received: March 1, 2004
AMS Subject Classification: 94A15, 94A60, 18B99
Key Words and Phrases: categories, codes, precodes, smash, split
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 12
Issue: 3
