Minimal Tail-Biting Trellises for Certain Cyclic Block Codes Are Easy to Construct
نویسندگان
چکیده
We give simple algorithms for the construction of generator matrices for minimal tail-biting trellises for a powerful and practical subclass of the linear cyclic codes, from which the combinatorial representation in the form of a graph can be obtained by standard procedures.
منابع مشابه
Trellis Representations for Linear Block Codes
Trellis Representations for Linear Block Codes Heide Gluesing-Luerssen University of Kentucky Department of Mathematics 715 Patterson Office Tower Lexington, KY 40506 USA During the last decade conventional and tail-biting trellis representations of linear block codes have gained a great deal of attention. A tail-biting trellis for a block code of length n is an edge-labeled layered graph on th...
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Trellis representations of linear block codes are attractive because of their use in soft decision decoding algorithms. An interesting property that is known for conventional trellises is that the minimal conventional trellis (known to be unique) for a linear block code, and its dual have the same state-complexity profile. This interesting property follows from the BCJR construction [1] of the ...
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Basic structural properties of tail-biting trellises are investigated. We start with rigorous definitions of various types of minimality for tail-biting trellises. We then show that biproper and/or nonmergeable tail-biting trellises are not necessarily minimal, even though every minimal tail-biting trellis is biproper. Next, we introduce the notion of linear (or group) trellises and prove, by e...
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تاریخ انتشار 2001