Abstract: A method includes obtaining, for each type of nucleotide, a probability density function, the probability density functions being obtained from measurements of current drops produced during at least one passage of at least one sequence of reference nucleotides through a nanopore sequencer; obtaining measurements of current drops produced when the sequence of nucleotides to be decoded passes through the nanopore sequencer; calculating, for each measurement value considered and for each type of nucleotide of the B types of nucleotides, a piece of reliability information based on the probability density function obtained for the type of nucleotide considered; obtaining a decoded value identifying a type of nucleotide from the B types of DNA nucleotides, by applying a soft decoding algorithm with an error correction code to the current drop measurement and to the B pieces of reliability information obtained for the considered measurement value.

Abstract: A method is proposed for managing a parity-check node calculation unit of an error-correcting code decoder having a representation as a bipartite graph comprising at least one parity-check node, the parity-check node being configured to receive first and second input messages, and to produce an output message, the elements of the input and output messages of the parity-check node comprising a symbol and a measure of reliability associated with the symbol, the first and second input messages containing lists of elements ordered by their measure of reliability. The method comprises: initializing a plurality of nbub FIFO memories with elements calculated from combinations of elements of the first and second input messages, and iteratively determining the values of the output message.

Abstract: A method is proposed for managing a parity-check node calculation unit of an error-correcting code decoder having a nrepresentation as a bipartite graph comprising at least one parity-check node, the parity-check node being configured to receive first and second input messages, and to produce an output message, the elements of the input and output messages of the parity-check N node comprising a symbol and a measure of reliability associated with the symbol, the first and second input messages containing lists of elements ordered by their measure of reliability. The method comprises: initializing a plurality of nbub FIFO memories with elements calculated from combinations of elements of the first and second input messages, and iteratively determining the values of the output message.

Abstract: The invention concerns a method for transmitting symbols of non binary error correcting code words via a transmission channel. The method comprises a first modulation associating each code word symbol of p bits with a sequence of at least 2p chips from 2p possible sequences, a second modulation to modulate the phase or amplitude of a carrier signal with the sequences associated with the code words, and a step of transmitting the modulated carrier signal via said transmission channel. According to the invention, the first modulation is a spread spectrum modulation of the cyclic code shift keying type using a basic pseudo-random sequence of at least 2p chips, the possible 2p sequences being obtained by a circular shift of the basic pseudo-random sequence and a cyclic prefix is inserted into each symbol to be transmitted.

Abstract: The invention concerns a method for transmitting symbols of non binary error correcting code words via a transmission channel. The method comprises a first modulation associating each code word symbol of p bits with a sequence of at leas 2p chips from 2p possible sequences a second modulation to modulate the phase or amplitude of a carrier signal with the sequences associated with the code words, and a step of transmitting the modulated carrier signal via said transmission channel. According to the invention the first modulation is a spread spectrum modulation of the cyclic code shift keying type using a basic pseudo-random sequence of at least 2p chips, the possible 2p sequences being obtained by a circular shift of the basic pseudo-random sequence and a cyclic prefix is inserted into each symbol to be transmitted.

Abstract: A method for controlling an elementary parity node of a decoder for decoding non-binary LDPC codes or a code decoder using at least one non-binary parity constraint, and to the corresponding elementary parity node. The elementary parity node receives first and second input lists (U1, U2) having nm elements sorted in ascending or descending order, nm being greater than 1, and gives an output list (Uout) of nm? elements sorted in said ascending or descending order, nm? being greater than 1, each element of the output list (Uout) being the result of a computing operation ? between an element of the first input list (U1) and an element of the second input list (U2). A limited number of candidates is selected for each element of the output list to be generated so as to reduce the number of operations to be carried out in the elementary parity node.

Abstract: A method for controlling an elementary parity node of a decoder for decoding non-binary LDPC codes or a code decoder using at least one non-binary parity constraint, and to the corresponding elementary parity node. The elementary parity node receives first and second input lists (U1,U2) having nm elements sorted in ascending or descending order, nm being greater than 1, and gives an output list (Uout) of nm, elements sorted in said ascending or descending order, nm, being greater than 1, each element of the output list (Uout) being the result of a computing operation ? between an element of the first input list (U1) and an element of the second input list (U2). A limited number of candidates is selected for each element of the output list to be generated so as to reduce the number of operations to be carried out in the elementary parity node.