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COMPOSITION CODES
Fornasini, E; Pinho, T; Pinto, R; Rocha, PIn this paper we introduce a special class of 2D convolutional codes, called composition codes, which admit encoders G(d(1),d(2)) that can be decomposed as the product of two 1D encoders, i.e., G(d(1), d(2)) = G(2) (d(2))G(1)(d(1))" Taking into account this decomposition, we obtain syndrome formers of the code directly from G(1)(d(1)) and G(2)(d(2)), in case G(1)(d(1)) and G(2)(d(2)) are right prime. Moreover w...
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes
Fornasini, E; Pinho, T; Pinto, R; Rocha, PIn this paper we consider a special class of 2D convolutional codes (composition codes) with encoders G(d(1), d(2)) that can be decomposed as the product of two 1D encoders, i.e., G(d(1), d(2)) = G(2)(d2)G(1)(d(1)). In case that G(1)(d(1)) and G(2)(d(2)) are prime we provide constructions of syndrome formers of the code, directly from G(1)(d(1)) and G(2)(d(2)). Moreover we investigate the minimality of 2D state...