{"id":154435,"date":"2003-10-01T00:00:00","date_gmt":"2003-10-01T00:00:00","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/tail-biting-trellises-for-linear-codes-and-their-duals\/"},"modified":"2018-10-16T20:44:15","modified_gmt":"2018-10-17T03:44:15","slug":"tail-biting-trellises-for-linear-codes-and-their-duals","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/tail-biting-trellises-for-linear-codes-and-their-duals\/","title":{"rendered":"Tail-Biting Trellises for Linear Codes and their Duals"},"content":{"rendered":"
The construction of dual tail-biting trellises from primal ones is an important problem in trellis based decoding algorithms for linear codes. Generalizations of two well known labeling algorithms, the Massey [3] and the BCJR [1] algorithms are presented for the construction of tail-biting trellises. The construction techniques lead directly to an algorithm for construction of a dual trellis from an algebraic description of the primal one, satisfying the property that the two trellises have identical state-complexity profiles.<\/p>\n","protected":false},"excerpt":{"rendered":"
The construction of dual tail-biting trellises from primal ones is an important problem in trellis based decoding algorithms for linear codes. Generalizations of two well known labeling algorithms, the Massey [3] and the BCJR [1] algorithms are presented for the construction of tail-biting trellises. The construction techniques lead directly to an algorithm for construction of […]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","footnotes":""},"msr-content-type":[3],"msr-research-highlight":[],"research-area":[13561],"msr-publication-type":[193716],"msr-product-type":[],"msr-focus-area":[],"msr-platform":[],"msr-download-source":[],"msr-locale":[268875],"msr-post-option":[],"msr-field-of-study":[],"msr-conference":[],"msr-journal":[],"msr-impact-theme":[],"msr-pillar":[],"class_list":["post-154435","msr-research-item","type-msr-research-item","status-publish","hentry","msr-research-area-algorithms","msr-locale-en_us"],"msr_publishername":"","msr_edition":"Proceedings of the Forty-First Annual Allerton Conference on Communication, Control and Computing 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