publication . Article . Other literature type . 2013

Short Turbo Codes over High Order Fields

Gianluigi Liva;
Closed Access English
  • Published: 01 Jun 2013
  • Country: Italy
Abstract
Two classes of turbo codes constructed on high-order finite fields are introduced. The codes are derived from a particular protograph sub-ensemble of the (2,3) regular low-density parity-check (LDPC) code ensemble. The first construction results in a parallel concatenation of two non-binary, time-variant accumulators. The second construction consists of the serial concatenation of a non-binary time-variant differentiator with a non-binary time-variant accumulator, and provides a highly structured flexible encoding scheme for (2,4) LDPC codes. A cycle graph representation is also provided. The proposed codes can be decoded efficiently either as LDPC codes (via be...
Subjects
arXiv: Computer Science::Information Theory
ACM Computing Classification System: Data_CODINGANDINFORMATIONTHEORY
free text keywords: Belief propagation, Fast Fourier transform, Fnite field, Low-density parity-check (LDPC) codes, Non-binary codes, Parallel concatenation, Serial concatenation, Turbo codes, Electrical and Electronic Engineering, Linear code, Block code, Computer science, Serial concatenated convolutional codes, Concatenated error correction code, Expander code, BCJR algorithm, Electronic engineering, Algorithm, Low-density parity-check code, Turbo code, Discrete mathematics
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