Until recently, most known decoding procedures for\nerror-correcting codes were based either on algebraically calculating\nthe error pattern or on some sort of tree or trellis search. With the\nadvent of turbo coding, a third decoding principle has finally had its\nbreakthrough: iterative ...
1991. N. Wiberg, “Codes and decoding on general graphs,” Ph.D. dissertation, Dept. Elec. Eng., Univ. Link?oping, Sweden, Apr. 1996. N. Wiberg, H.-A. Loeliger, and R. K?tter, “Codes and iterative decoding on general graphs,” Euro. Trans. Telecommun., vol. 6, pp. 513–...
Decoding general error correcting codes and the role of complementarity Article Open access 10 January 2025 Exponential suppression of bit or phase errors with cyclic error correction Article Open access 14 July 2021 Mitigating errors in logical qubits Article Open access 28 November 2024 Data...
Codes and Decoding on General Graphs With cycle-free Tanner graphs, the resulting decoding algorithms (e.g., Viterbi decoding) are maximum-likelihood but suffer from an exponentially increasing complexity. Iterative decoding occurs when the Tanner graph has cycles (e.g., ... N Wiberg 被引量: ...
Decoding general error correcting codes and the role of complementarity Article Open access 10 January 2025 Complexity and order in approximate quantum error-correcting codes Article 03 September 2024 Introduction LDPC codes, a prominent category of classical error-correcting codes, were first introd...
parametersandare needed to determine respectively the decoding complexity and the error correction capability of a convolutional code with respect to some decoding algorithm. For this reason, for any givenkandnand field sizeq, the aim is to construct convolutional codes with “small” degreeand “...
Les codes LDPC (Low Density Parity Check codes pour codes à faible densité) forment une classe de codes en bloc qui se caractérisent par une matrice de contrôle creuse. Ils ont été décrits pour la première fois dans la...
These codes, called Tornado codes, are very similar to Gallager's low-density parity-check (LDPC) codes [3], but they use a highly irregular weight distribution for the underlying graphs. The running times of the encoding and decoding algorithms for Tornado codes are proportional to their ...
We first propose a novel algorithm referred to as the Markov based stochastic decoding. Then, we provide concrete quantitative guarantees on its performance for tree-structured as well as general factor graphs. More specifically, we provide upper-bounds on the first and second moments of the error...
A method and system for decoding low density parity check (“LDPC”) codes. An LDPC decoder includes a control unit that controls decoder processing, the control unit causing the deco