CULP 发表于 2025-3-26 23:56:08
Recursive Construction of GrÖbner 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 Gröbner basis techniques, that recursively solves a wide class of such problems.glacial 发表于 2025-3-27 04:07:35
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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 tpalette 发表于 2025-3-27 11:43:53
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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 mCUR 发表于 2025-3-27 18:08:17
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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 generalizatCommonplace 发表于 2025-3-28 11:29:33
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