6533b86dfe1ef96bd12ca22d

RESEARCH PRODUCT

The structure of the state representation of shift invariant controllable and observable group codes

Matteo CampanellaG. Garbo

subject

Discrete mathematicsNumerical AnalysisAlgebra and Number TheoryObservableCanonical representationsBehavioral analysisGroup codeGroup codesDiscrete Mathematics and CombinatoricsHomomorphismCanonical formGeometry and TopologyInvariant (mathematics)Behavioral approachState representationComputer Science::Information TheoryMathematics

description

AbstractIn this paper an investigation on the structure of the canonical trellis section of shift invariant, l-controllable and m-observable group codes is carried out. Necessary and sufficient conditions for a set of group homomorphisms in order that they represent the trellis section of this class of codes are established.

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