• DocumentCode
    1254368
  • Title

    A new algorithm for Golomb ruler derivation and proof of the 19 mark ruler

  • Author

    Dollas, Apostolos ; Rankin, William T. ; McCracken, David

  • Author_Institution
    Dept. of Electron. Comput. Eng., Tech. Univ. Crete, Chania, Greece
  • Volume
    44
  • Issue
    1
  • fYear
    1998
  • fDate
    1/1/1998 12:00:00 AM
  • Firstpage
    379
  • Lastpage
    382
  • Abstract
    A new parallel distributed algorithm for Golomb (1977) ruler derivation is presented. This algorithm was used to prove computationally the optimality of three rulers. Two of these were previously proven but yet unpublished, and the authors´ independent derivation confirmed these results. The last ruler, of 19 marks and size 246, was known to be near-optimal and was computationally proven optimal in this work
  • Keywords
    information theory; parallel algorithms; search problems; 19 mark ruler; Golomb ruler derivation; coding theory; combinatorial algorithms; computation load metrics; graphs; near-optimal ruler; numerical sequences; parallel distributed algorithm; search space reduction techniques; shift algorithm; Codes; Concurrent computing; Crystallography; Distributed algorithms; Hardware; Optimization; Parallel programming; Radio astronomy; Radio communication; Software algorithms;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.651068
  • Filename
    651068