ON 2D FINITE SUPPORT CONVOLUTIONAL-CODES - AN ALGEBRAIC APPROACH

Authors
VALCHER ME FORNASINI E
Citation
Me. Valcher et E. Fornasini, ON 2D FINITE SUPPORT CONVOLUTIONAL-CODES - AN ALGEBRAIC APPROACH, Multidimensional systems and signal processing, 5(3), 1994, pp. 231-243
Citations number
11
Categorie Soggetti
System Science","Engineering, Eletrical & Electronic","Computer Science Theory & Methods
Journal title
Multidimensional systems and signal processing → ACNP
ISSN journal
09236082
Volume
5
Issue
3
Year of publication
1994
Pages
231 - 243
Database
ISI
SICI code
0923-6082(1994)5:3<231:O2FSC->2.0.ZU;2-D
Abstract
Two-dimensional (2D) finite codes are defined as families of compact s upport sequences indexed in Z x Z arid taking values in F(n), F a Galo is field. Several properties of encoders, decoders and syndrome decode rs are discussed under different hypotheses on the code structure, and related to the injectivity and primeness of the corresponding polynom ial matrices in two variables. Dual codes are finally introduced as fa milies of parity checks on a given modular code, and related to the st andard theory of 2D behaviors.