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

作者：El Din Ramy F Taki^*; El Hassani Rabab M; El Ramly Salwa H

来源：IEEE Communications Letters, 2013, 17(5): 984-987.

DOI：10.1109/LCOMM.2013.031313.130168

• Galois field
• high speed transmission
• long BCH
• long cyclic codes
• systematic encoding

Long codes encoders have some limitations in high speed data transmission, making them not adequate to some applications%26apos; 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 %26gt;= 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.

• 出版日期2013-5