Trellis Properties of Product Codes

Haibin KAN  Hong SHEN  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E88-A   No.1   pp.353-358
Publication Date: 2005/01/01
Online ISSN: 
DOI: 10.1093/ietfec/e88-a.1.353
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Coding Theory
tensor product,  trellis,  minimal span form,  characteristic generator,  

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In this paper, we study trellis properties of the tensor product (product code) of two linear codes, and prove that the tensor product of the lexicographically first bases for two linear codes in minimal span form is exactly the lexicographically first basis for their product code in minimal span form, also the tensor products of characteristic generators of two linear codes are the characteristic generators of their product code.