On Isometries for Convolutional Codes

Details On Isometries for Convolutional Codes On Isometries for Convolutional Codes

2009-02-12

arxiv.org/abs/0902.2235v1

Computer Science

Information Theory

24 pages

Scientific paper

In this paper we will discuss isometries and strong isometries for convolutional codes. Isometries are weight-preserving module isomorphisms whereas strong isometries are, in addition, degree-preserving. Special cases of these maps are certain types of monomial transformations. We will show a form of MacWilliams Equivalence Theorem, that is, each isometry between convolutional codes is given by a monomial transformation. Examples show that strong isometries cannot be characterized this way, but special attention paid to the weight adjacency matrices allows for further descriptions. Various distance parameters appearing in the literature on convolutional codes will be discussed as well.

Affiliated with

Also associated with

No associations

Rating

On Isometries for Convolutional Codes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Isometries for Convolutional Codes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Isometries for Convolutional Codes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-356957