Tsofun Algorithms Ltd.

Nissim Halabi

Noam Presman

Eldad Meller

Alexander Smekhov

There is provided a method of sequential list decoding of an error correction code (ECC) utilizing a decoder comprising a plurality of processors. The method comprises: a) obtaining an ordered sequence of constituent codes usable for the sequential decoding of the ECC; b) executing, by a first processor, a task of decoding a first constituent code, the executing comprising: a. generating decoding candidate words (DCWs) usable to be selected for decoding a subsequent constituent code, each DCW associated with a ranking; b. for the first constituent code, upon occurrence of a sufficiency criterion, and prior to completion of the generating all DCWs and rankings, selecting, in accordance with a selection criterion, at least one DCW; c) executing, by a second processor, a task of decoding a subsequent constituent code, the executing comprising processing data derived from the selected DCWs to generate data usable for decoding a next subsequent constituent code.

GCC decoding and polar code successive-cancellation list decoding with decomposition into concatenated inner and outer codes

There is provided a method of obtaining one or more parity symbols (PS) of an encoding of information symbols (IS) according to a linear cyclic code, the method comprising: upon a permutation of information symbols (IS), generating data indicative of parity coefficients of a row of a generator matrix associated with the linear cyclic code, computing, for each given parity coefficient, a first data in accordance with, at least, the given parity coefficient and the first IS; updating, by the processing circuitry, for each given parity coefficient of the one or more parity coefficients, the first data, in accordance with, at least, the given parity coefficient and the respective IS; and upon meeting a parity completion criterion for a given parity coefficient, deriving a parity symbol from the respective first data, thereby obtaining the one or more parity symbols of the codeword of the linear cyclic code.

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Ramat Gan, Israel

Nissim Halabi