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Titlebook: Codes, Systems, and Graphical Models; Brian Marcus,Joachim Rosenthal Conference proceedings 2001 Springer Science+Business Media New York

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31#
發(fā)表于 2025-3-26 23:56:08 | 只看該作者
Recursive Construction of Gr?bner Bases for the Solution of Polynomial CongruencesA number of questions in systems theory and coding theory can be formulated as the solution of a system of polynomial congruences in one or more variables. We present a new generalised algorithm, based on Gr?bner basis techniques, that recursively solves a wide class of such problems.
32#
發(fā)表于 2025-3-27 04:07:35 | 只看該作者
33#
發(fā)表于 2025-3-27 05:16:36 | 只看該作者
Connections Between Linear Systems and Convolutional Codesions are worked out in detail. It is shown that bi-infinite support systems are dual to finite-support systems under Pontryagin duality. In this duality the dual of a controllable system is observable and vice versa. Uncontrollability can occur only if there are bi-infinite support trajectories in t
34#
發(fā)表于 2025-3-27 11:43:53 | 只看該作者
35#
發(fā)表于 2025-3-27 14:00:15 | 只看該作者
Linear-Congruence Constructions of Low-Density Parity-Check Codespreviously discussed in the literature have involved matrices constructed using random techniques. In this paper, we discuss construction techniques for LDPCC involving multiple permutation matrices, each specified by a linear congruence. Construction options depend on the size of the parity-check m
36#
發(fā)表于 2025-3-27 18:08:17 | 只看該作者
37#
發(fā)表于 2025-3-27 22:07:54 | 只看該作者
38#
發(fā)表于 2025-3-28 06:10:58 | 只看該作者
39#
發(fā)表于 2025-3-28 07:52:19 | 只看該作者
Hypertrellis: A Generalization of Trellis and Factor Graphn that a factor graph generalizes only the time axis of a trellis, but omits the state transition representation. In this paper, a new graphical model, called the hypertrellis, is proposed to overcome this insufficiency of factor graphs. A hypertrellis is in essence a weighted hypergraph generalizat
40#
發(fā)表于 2025-3-28 11:29:33 | 只看該作者
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