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  • DBIBD  (1)
  • 1995-1999  (1)
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  • 1995-1999  (1)
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    Electronic Resource
    Electronic Resource
    Existence of Perfect 3-Deletion-Correcting Codes (1998)
    Springer
    Designs, codes and cryptography 14 (1998), S. 81-87 
    Details
    ISSN: 1573-7586
    Keywords: code ; deletion-correcting ; perfect ; directed design ; BGDD ; DBIBD
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Bours [4] recently showed some constructions for perfect 2 and 3-deletion-correcting codes from combinatorial designs. He settled existence of perfect 2-deletion-correcting codes with words of length 4. However, the existence of perfect 3-deletion-correcting codes with words of length 5, or T*(2, 5, v), remained unsettled for v ≡ 7, 8 (mod 10) and v = 13, 14, 15, 16. In this paper we provide new constructions for these codes from combinatorial designs, and show that a T*(2, 5, v) exists for all v.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008212622423
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