Code construction for the T-user noiseless adder channel

  • Authors:
  • G. H. Khachatrian;S. S. Martirossian

  • Affiliations:
  • Inst. of Problems of Inf. & Autom., Acad. of Sci. of Armenia, Yerevan;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006
  • Compressed genotyping

    IEEE Transactions on Information Theory - Special issue on information theory in molecular biology and neuroscience

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Abstract

A general method for constructing codes for the T-user noiseless adder channel is proposed which achieves the largest sum rate known. The authors consider a multiple-access communication system. In this system, T statistically independent sources which use binary block codes C1 ,...,CT of equal length n, simultaneously transmit information via one common channel, maintaining synchronization with respect to words and bits. The output of the adder channel is the (T+l)-ary vector which is the component-wise arithmetic sum of the transmitted binary vectors. The task of the decoder is to uniquely determine the messages of all users