caa a22 4500 477097847 CHVBK 20180405111532.0 cr unu---uuuuu 170330e19960101xx s 000 0 fre 10.1007/BF02995688 doi (NATIONALLICENCE)springer-10.1007/BF02995688 Delahaye Jean-Pierre TDF-C2R Département réseaux et informatique, Laboratoire protection des données, 1, rue Marconi, F-57070, Metz, France aut Le Code Cyclique À Ensembles de DiffÉrences (1057,813,34) [Elektronische Daten] [Jean-Pierre Delahaye] A difference-set cyclic code (1057,813,34) This paper presents an overview of the implementation of a difference-set cyclic code (1057,813,34). It is easy to achieve coding and decoding circuits. The decoding lays on the analysis of the composite remainder Rc (x) and the use of a decoding matrix of 33 Boolean equations. The error-correcting algorithm has been improved, so the difference-set cyclic code (1057,813,34) can correct up to 26 random errors instead of the 16 previous random errors found by the theory. Moreover, 3 decoding algorithms have been simulated and allow the comparison of their respective efficiency. The hardware achievement is quite easy because the necessary logical elements such as shift delay registers, positive-and gates, positive-or gates, positive-exclusive-or gates exist as a set of libraries. Institut Telecom / Springer-Verlag France, 1996 Error correcting code nationallicence Cyclic code nationallicence Decoding nationallicence Random error nationallicence Majority logic nationallicence Code correcteur erreur nationallicence Code cyclique nationallicence Décodage nationallicence Erreur aléatoire nationallicence Logique majoritaire nationallicence Annales Des Télécommunications Springer-Verlag 51/1-2(1996-01-01), 19-26 0003-4347 51:1-2<19 1996 51 12243 https://doi.org/10.1007/BF02995688 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02995688 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Delahaye Jean-Pierre TDF-C2R Département réseaux et informatique, Laboratoire protection des données, 1, rue Marconi, F-57070, Metz, France aut NATIONALLICENCE 773 0- Annales Des Télécommunications Springer-Verlag 51/1-2(1996-01-01), 19-26 0003-4347 51:1-2<19 1996 51 12243 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer