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We consider the problem of directly transmitting a binary source with an inherent redundancy over a binary channel with additive stationary ergodic Markov noise. Out objective is to design an optimum receiver which fully ...

This paper considers the reliability of systems that employ fault tolerance at two different hierarchical levels. Specifically, it assumes the system consists of a two-dimensional array of components. Each component is ...

Consider an additive noise channel with inputs and outputs in the field GF (q ) where q > 2; every time a symbol is transmitted over such a channel, there are q - 1 different errors that can occur, corresponding to the q ...

This correspondence derives a generalization of the Gilbert- Varshamov bound that is applicable to block codes whose codewords must be drawn from irregular sets; the bound improves by a factor of four a similar result ...

We introduce a binary additive communication channel with memory. The noise process of the channel is generated according to the contagion model of George Polya; our motivation is the empirical observation of Stapper et. ...

An optical orthogonal code (OOC)is collection of binary sequences with good auto-and cross-correlation properties; they were defined by Salehi and others as a means of obtaining code division multiple access on optical ...

One-step majority-logic decoding is one of the simplest algorithms for decoding cyclic block codes. However, it is an effective decoding scheme for very few codes. This paper presents a generalization based on the ...