IJPAM: Volume 12, No. 3 (2004)


G.R. Blakley$^1$, I. Borosh$^2$, T. Holcomb$^3$, A. Klappenecker$^4$
$^{1,2}$Department of Mathematics
Texas A&M University
College Station, TX 77843-3368, USA
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]
$^3$Air Force Research Laboratory
3550 Aberdeen Ave SE
Kirtland AFB, NM 87117, USA
$^4$Department of Computer Science
Texas A&M University
College Station, TX 77843-3112, USA
e-mail: [email protected]

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