SYSTEMATICITY AND ROTATIONAL INVARIANCE OF CONVOLUTIONAL CODES OVER RINGS
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The necessary and sufficient condition for an (n,k) convolutional code over a finite commutative ring to have a systematic encoder is derived. A sufficient condition for a systematic (n,1) convolutional code over the ring of integers modulo M to be rotationally invariant is derived together with a similar, but not identical, necessary condition.
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