Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498347 | Linear Algebra and its Applications | 2005 | 29 Pages |
Abstract
Detailed information about the weight distribution of a convolutional code is given by the adjacency matrix of the state diagram associated with a minimal realization of the code. We will show that this matrix is an invariant of the code. Moreover, it will be proven that codes with the same adjacency matrix have the same dimension and the same Forney indices and finally that for one-dimensional binary convolutional codes the adjacency matrix determines the code uniquely up to monomial equivalence.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Heide Gluesing-Luerssen,