IJPAM: Volume 50, No. 3 (2009)
MATRIX AND GROUP RINGS
School of Mathematics, Statistics and Applied Mathematics
National University of Ireland - Galway
Galway, IRELAND
e-mail: ted.hurley@nuigalway.ie
Abstract.A general method for the construction and analysis of convolutional codes from units in Laurent series over matrix rings is
presented. Using group rings
as matrix rings, this gives a general method for the
construction and analysis of
convolutional codes from group
rings. A theory of group ring convolutional codes is developed. Series of
convolutional codes are constructed algebraically
and algebraic methods are used to compute free distances and to
construct convolutional codes to prescribed minimum distances.
Received: January 7, 2009
AMS Subject Classification: 16S34, 68P30
Key Words and Phrases: convolutional code, group ring
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 50
Issue: 3