%0 Journal Article
%T Linear tail-biting trellises: Characteristic generators and the BCJR-construction
%A Heide Gluesing-Luerssen
%A Elizabeth Weaver
%J Mathematics
%D 2010
%I arXiv
%X We investigate the constructions of tail-biting trellises for linear block codes introduced by Koetter/Vardy (2003) and Nori/Shankar (2006). For a given code we will define the sets of characteristic generators more generally than by Koetter/Vardy and we will investigate how the choice of characteristic generators affects the set of resulting product trellises, called KV-trellises. Furthermore, we will show that each KV-trellis is a BCJR-trellis, defined in a slightly stronger sense than by Nori/Shankar, and that the latter are always non-mergeable. Finally, we will address a duality conjecture of Koetter/Vardy by making use of a dualization technique of BCJR-trellises and prove the conjecture for minimal trellises.
%U http://arxiv.org/abs/1003.4539v1