IJPAM: Volume 59, No. 2 (2010)

ON THE GENERATOR POLYNOMIALS OF
CONSTACYCLIC CODES OVER FINITE CHAIN RINGS

Somphong Jitman$^1$, Patanee Udomkavanich$^2$
$^1$Department of Mathematics
Faculty of Science
Chulalongkorn University
Bangkok, 10330, THAILAND
e-mail: [email protected]
$^2$Division of Mathematical Sciences
School of Physical and Mathematical Sciences
Nanyang Technological University
Singapore, 637371, REPUBLIC OF SINGAPORE
e-mail: [email protected]


Abstract.The structure of constacyclic codes over finite chain rings is determined in terms of generator polynomials. Moreover, some special forms of generator polynomials of cyclic, $(1-\gamma^{m-1})$-constacyclic and $(1+\gamma^{m-1})$-constacycic codes are given. Finally, generator polynomials of the Gray images of $(1-u)$-constacyclic codes over $\mathbb{F}_p+u\mathbb{F}_p$ are rewarded.

Received: January 22, 2010

AMS Subject Classification: 94B15, 94B60

Key Words and Phrases: constacyclic code, finite chain ring, cyclic code, generator polynomial

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 59
Issue: 2