This thesis presents new techniques for the construction and specication of linear tail-biting
\ntrellises. Tail-biting trellises for linear block codes are combinatorial descriptions in the form
\nof layered graphs, that are somewhat more compact than the corresponding conventional
\ntrellis descriptions. Conventional trellises for block codes have a well understood underlying
\ntheory. On the other hand, the theory of tail-biting trellises appears to be somewhat more
\ninvolved, though several advances in the understanding of the structure and properties of
\nsuch trellises have been made in recent years. Of fundamental importance is the observation
\nthat a linear tail-biting trellis for a block code corresponds to a coset decomposition of the
\ncode with respect to a subcode. All constructions seem to use this property in some way; in
\nother words, this is the unifying factor in all our constructions. The constructions yield the
\nconventional trellis when the subcode is the whole code. We list the main contributions of
\nthis thesis.<\/p>\n","protected":false},"excerpt":{"rendered":"
This thesis presents new techniques for the construction and specication of linear tail-biting trellises. Tail-biting trellises for linear block codes are combinatorial descriptions in the form of layered graphs, that are somewhat more compact than the corresponding conventional trellis descriptions. Conventional trellises for block codes have a well understood underlying theory. On the other hand, 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