Simple Distance-Preserving Mappings From Ternary Vectors to Permutations

  • Authors:
  • Te-Tsung Lin;Shi-Chun Tsai;Hsin-Lung Wu

  • Affiliations:
  • Dept. of Comput. Sci., Nat. Chiao-Tung Univ., Hsinchu;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2008

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Abstract

We give a simple construction of distance-preserving mappings from ternary vectors to permutations (3-DPM). Our result gives a lower bound for permutation arrays, i.e., P(n, d) ges A3 (n, d) , which significantly improves previous lower bounds for d les 3n / 5.