A unified approach to the construction of binary and nonbinary quasi-cyclic LDPC codes based on finite fields

  • Authors:

  • Shumei Song;Bo Zhou;Shu Lin;Khaled Abdel-Ghaffar

  • Affiliations:

  • Marvell Semiconductor, Inc., Santa Clara, CA and Department of Electrical and Computer Engineering, University of California at Davis, Davis, CA;Qualcomm Inc., San Diego, CA and Department of Electrical and Computer Engineering, University of California at Davis, Davis, CA;Department of Electrical and Computer Engineering, University of California at Davis, Davis, CA;Department of Electrical and Computer Engineering, University of California at Davis, Davis, CA

  • Venue:
  • IEEE Transactions on Communications
  • Year:
  • 2009

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Abstract

A unified approach for constructing binary and nonbinary quasi-cyclic LDPC codes under a single framework is presented. Six classes of binary and nonbinary quasi-cyclic LDPC codes are constructed based on primitive elements, additive subgroups, and cyclic subgroups of finite fields. Numerical results show that the codes constructed perform well over the AWGN channel with iterative decoding.