Centre National De La Recherche Scientifique

Stmicroelectronics S.a.

Centre National De La Recherche Scientifique-Cnrs

Stellantis Auto Sas

François Verdier

Pascal Urard

David Declercq

Marc P Fossorier

Claude Riviere

Adrian Voicila

Marc Fossorier

Stéphane Lamouric

A string 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&#x2212;K first nodes (NC), each node satisfying a parity check equation defined on the Galois field of order q, N packets of intermediate nodes (NIT) and NI second nodes (NSS), each intermediate node being linked to a single first node and to several second nodes by way of a connection scheme. The string of K initial symbols is encoded by using the said code characteristics and a string of N encoded symbols is obtained, 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 connection scheme (&#x3a0;).

Method and device for encoding symbols with a code of the parity check type and corresponding decoding method and device

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Le Pecq, France

François Verdier