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A Novel High-Speed Systematic Encoder for Long Binary Cyclic Codes

delete2013-05-01
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PRE
AI
R
Ramy Taki Eldin *
R
Rabab M. I. El-Hassani
S
Salwa Elramly
DOI:10.1109/LCOMM.2013.031313.130168delete
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Abstract

Abstract

En 中文
Long codes encoders have some limitations in high speed data transmission, making them not adequate to some applications' requirements. In this paper, a novel systematic encoding algorithm for cyclic codes shows a satisfactory time saving percentage over traditional algorithms, especially for long codes (n >= 2(14) - 1). Time computational complexity of max{O(t root k), O(t(2) log n log(t log n) log(log(t log n)))} has been estimated for the proposed encoder. Although the proposed encoder is applicable to any cyclic code, comparisons to conventional encoders (systematic and non-systematic) are carried out for long BCH codes. MATLAB simulated results prove superior time saving percentage over traditional encoders, especially for extremely long codes even with large error correction capability.
Keywords:
Galois field
high speed transmission
long BCH
long cyclic codes
systematic encoding

Journal

IEEE Communications Letters cover
IEEE Communications Letters
IF:
4.4
Papers:
1.3W
Citations:
2.2W

Organization

E
egyptian knowledge bank (ekb)
Scholars:
11.6W
Papers: 9.3W
Citations: 84
A
Ain Shams University
Scholars:
6.4K
Papers: 5.5K
Citations: 8.9K