Search results for "deciphering delay"

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A Generalization of Girod’s Bidirectional Decoding Method to Codes with a Finite Deciphering Delay

2012

In this paper we generalize an encoding method due to Girod (cf. [6]) using prefix codes, that allows a bidirectional decoding of the encoded messages. In particular we generalize it to any finite alphabet A, to any operation defined on A, to any code with finite deciphering delay and to any key x ∈ A+ , on a length depending on the deciphering delay. We moreover define, as in [4], a deterministic transducer for such generalized method. We prove that, fixed a code X ∈ A* with finite deciphering delay and a key x ∈ A *, the transducers associated to different operations are isomorphic as unlabelled graphs. We also prove that, for a fixed code X with finite deciphering delay, transducers asso…

Discrete mathematicsPrefix codeStrongly connected componentSettore INF/01 - InformaticaGeneralization020206 networking & telecommunications0102 computer and information sciences02 engineering and technology01 natural sciencesPrefix010201 computation theory & mathematicsEncoding (memory)0202 electrical engineering electronic engineering information engineeringCode (cryptography)AlphabetGirod's encoding codes finite deciphering delayDecoding methodsMathematics
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A Generalization of Girod's Bidirectional Decoding Method to Codes with a Finite Deciphering Delay

2012

Girod’s encoding method has been introduced in order to efficiently decode from both directions messages encoded by using finite prefix codes. In the present paper, we generalize this method to finite codes with a finite deciphering delay. In particular, we show that our decoding algorithm can be realized by a deterministic finite transducer. We also investigate some properties of the underlying unlabeled graph.

Prefix codeStrongly connected componentTheoretical computer scienceGeneralizationdeciphering delayData_CODINGANDINFORMATIONTHEORY0102 computer and information sciences02 engineering and technology01 natural sciences[INFO.INFO-FL]Computer Science [cs]/Formal Languages and Automata Theory [cs.FL]Encoding (memory)0202 electrical engineering electronic engineering information engineeringCode (cryptography)Computer Science (miscellaneous)prefix (free) codeunlabeled graphMathematicsCode[MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT]020206 networking & telecommunicationsCode; deciphering delay; prefix (free) code; strongly connected component; transducer; unlabeled graph; Computer Science (miscellaneous)Prefixtransducer[INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT]010201 computation theory & mathematicsGraph (abstract data type)strongly connected componentAlgorithmDecoding methods
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