A combinatorial technique for constructing high-rate MTR-RLL codes

  • Authors:
  • A. J. Van Wijngaarden;E. Soljanin

  • Affiliations:
  • Dept. of Math. & Commun. Res., Lucent Technol. Bell Labs., Murray Hill, NJ;-

  • Venue:
  • IEEE Journal on Selected Areas in Communications
  • Year:
  • 2006

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Abstract

We present advanced combinatorial techniques for constructing maximum runlength-limited (RLL) block codes and maximum transition run (MTR) codes. These codes find widespread application in recording systems. The proposed techniques are used to construct a high-rate multipurpose modulation code for recording systems. The code, a rate 16/17, (0,3,2,2) MTR code, that also fulfills (0,15,9,9) RLL constraints is a high-rate distance-enhancing code with additional constraints for improving timing and gain control. The encoder and decoder have a particularly efficient architecture and allow an instantaneous translation of 16-bit source words into 17-bit codewords and vice versa. The code has been implemented in Lucent read-channel chips and has excellent performance