A note on relationship between algebraic geometric codes and LDPC codes

Hu, Wanbao; Cai, Huaping; Wu, Yanxia; Wang, Zhen

doi:10.1109/icsps.2010.5555509

Cited by 2 publications

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The asymptotic properties of such codes were investigated in [3]. Codes constructed from curves with a large number of points in comparison with the genus lie above the Varshamov-Gilbert boundary [4][5][6][7][8][9][10][11][12]. Schemes of the practical application of these codes for noise-immune transmission of discrete messages [10][11][12], algorithms for their construction and decoding [7][8][9], the resulting energy gain from coding [13][14][15] are in the sphere of interest.…”

Section: Introductionmentioning

confidence: 99%

Noise Immunity of the Algebraic Geometric Codes

Кuznetsov¹,

Kolovanova²,

Смірнов³

et al. 2019

IJC

View full text Add to dashboard Cite

Linear block noise-immune codes constructed according to algebraic curves (algebraic geometric codes) are considered, their design properties are evaluated, algorithms of construction and decoding are studied. The energy efficiency of the transmission of discrete messages by M-ary orthogonal signals in the application of algebraic geometric codes is studied; the achievable energy gain from the use of noise-immune coding is estimated. The article shows that in discrete channels without memory it is possible to obtain a significant energy gain, which increases with the transition to long algebraic geometric codes constructed from curves with a large number of points relative to the genus of the curve. It is found that the computational complexity of implementing algebraic geometric codes is comparable to other known noise-immune codes, for example, Reed-Solomon codes and others. Thus, high energy efficiency in combination with the acceptable computational complexity of implementation confirms the prospects of algebraic geometric codes use in modern telecommunication systems and networks to improve the noise immunity of data transmission channels.

show abstract