Parity bitParity check matrix for single bit error correcting code based on algebraic coding theory can be generated from the parity bit vectors by an efficient algorithm supported with examples. The novelty of this algorithm is the simplicity in its implementation.D. Roy CHOUDHURY...
Dictionary Encyclopedia Wikipedia </>embed</> check verification substantiation confirmation redundancy ch... odd-even check parity check noun Synonyms for parity check nouna system of checking for errors in computer functioning Synonyms odd-even check ...
starting from the works of Prange [27] and Rudolph [31], where they proposed to construct linear codes starting from projective planes. Their idea was to use the incidence matrix of the plane as a generator matrix or as a parity-check matrix of a linear code, showing...
PN Code Acquisition Using Belief Propagation with Adaptive Parity Check Matrix 热度: LSI Design of LDPC Code Decoder 热度: Low-Density Parity-Check Codes-Gallager1963(博) 热度: 相关推荐 AsymptoticWeightAnalysisofLow-Density ParityCheck(LDPC)CodeEnsembles Thesisby SarahL.Sweatlock InPartialFul...
It should be noted that any k linearly independent codewords can be used to form a generator matrix, so G is not unique for a given code. Another important property of block codes is systematicity, as defined in the following: Definition 2.2 A block code is said to be systematic if...
In this Letter, a new parity-check-concatenated (PCC) polar code construction that considers the number of minimum Hamming weight (MHW) codewords is proposed. The parity bits to reduce the number of MHW codewords as much as possible is successively constructed. The proposed construction can redu...
The incidence matrix of the transversal design derived from a lifted MRD code can be viewed as a parity-check matrix of a linear code in the Hamming ... N Silberstein - 《Mathematics》 被引量: 33发表: 2008年 Low-density parity-check codes for multilevel modulation The application of low-...
A q-ary LDPC code is a linear block code defined as the null space of a sparse parity-check matrix H over a finite field of q elements that is denoted by GF(q), where q is a power of a prime. From: OFDM for Optical Communications, 2010 ...
<div p-id="p-0001">An approach is provided for bit labeling of a signal constellation. A transmitter generates encoded signals using, according to one embodiment, a structured parity check matrix of a
Moreover, we give a parity check matrix for this cyclic code. Adding an even parity check coordinate to a \\({\\mathbb {Z}}_2{\\mathbb {Z}}_... Joaquim,Borges,Cristina,... - 《Designs Codes & Cryptography》 被引量: 0发表: 2016年 2S_ {1/2}→ 1S_ {1/2}+ one-photon decay...