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Modulo-2 separable linear codes

  • Gregory Poltyrev
  • Jakov Snyders
Convolutional Codes and Special Channels
Part of the Lecture Notes in Computer Science book series (LNCS, volume 781)

Abstract

Transmission of information through a multiple access channel is addressed for the situation that out of a fixed family of N potential users at most some m, m<N, are active simultaneously. We assign codes to the N users in a way that allows correction of any t or less errors and separate the s≤m messages, provided that the subset of active users is known to the receiver. The construction of codes is tightly connected with a construction of maximum distance codes. A decoding procedure is presented.

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References

  1. [1]
    P. Mathys, ”A class of codes for a T active users out of N multiple access communication system,” IEEE Trans. Information Theory, vol. IT 36, no.6, pp. 1206–1219, Nov. 1990.Google Scholar
  2. [2]
    E.J. MacWilliams, and N.J.A. Sloane, The Theory of Error Correcting Codes, Amsterdam: North-Holland, 1977.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Gregory Poltyrev
    • 1
  • Jakov Snyders
    • 1
  1. 1.Department of Electrical Engineering - SystemsTel Aviv UniversityRamat AvivIsrael

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