Method and device for encoding symbols with a code of the...

H - Electricity – 03 – M

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H03M 13/11 (2006.01)

Patent

CA 2696834

A collection of K initial symbols is encoded with a code of the parity check type. The K initial symbols belong to a Galois field of order q strictly greater than 2. The code is defined by code characteristics representable by a graph (GRH) comprising N-K first nodes (NC1), each node satisfying a parity check equation defined on the Galois field of order q, N packets of intermediate nodes (NITi) and NI second nodes (NSSi), each intermediate node being connected to a single first node and to several second nodes by way of a linking scheme. The collection of K initial symbols is encoded using said code characteristics and a collection of N encoded symbols is obtained, said symbols being respectively subdivided into NI sub-symbols belonging respectively to mathematical sets whose orders are less than q, according to a subdivision scheme representative of the linking scheme (II).

On encode un jeu de K symboles initiaux avec un code du type à contrôle de parité. Les K symboles initiaux appartiennent à un corps de Galo is d'ordre q strictement supérieur à 2. On définit le code par des caractéristiques de code représentables par un graphe (GRH) comportant N-K premiers noeuds (NC i), chaque noeud satisfaisant une équation de contrôle de parité définie sur le corps de Galois d'ordre q, N paquets de noeuds intermédiaires (NIT i) et NI deuxièmes noeuds(NSS i), chaque noeud intermédiaire étant relié à un seul premier noeud et à plusieurs deuxièmes noeuds par l'intermédiaire d'un schéma de liaisons. On encode le jeu de K symboles initiaux en utilisant lesdites caractéristiques de code et on obtient un jeu de N symboles encodés respectivement subdivisés en NI sous-symboles appartenant respectivement à des ensembles mathématiques dont les ordres sont inférieurs à q, selon un schéma de subdivision représentatif du schéma de liaisons (II).

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