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

Sabrina Mantaci, Laura Giambruno, Jean Néraud, Carla Selmi

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Abstract

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 associated to different keys have an isomorphic non trivial strongly connected component.
Lingua originaleEnglish
Titolo della pubblicazione ospiteDevelopments in Language Theory, Lecture Notes in Computer Science Volume 7410
Pagine471-476
Numero di pagine6
Stato di pubblicazionePublished - 2012

Serie di pubblicazioni

NomeLECTURE NOTES IN COMPUTER SCIENCE

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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    Mantaci, S., Giambruno, L., Néraud, J., & Selmi, C. (2012). A Generalization of Girod’s Bidirectional Decoding Method to Codes with a Finite Deciphering Delay. In Developments in Language Theory, Lecture Notes in Computer Science Volume 7410 (pagg. 471-476). (LECTURE NOTES IN COMPUTER SCIENCE).