메뉴 건너뛰기




Volumn 48, Issue 3, 2008, Pages 331-347

Some combinatorial constructions for optimal perfect deletion-correcting codes

Author keywords

Code; Deletion correcting; Design; Optimal; Perfect

Indexed keywords

CODES (SYMBOLS); TURBULENT FLOW;

EID: 47749132293     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10623-008-9212-8     Document Type: Article
Times cited : (7)

References (26)
  • 2
    • 0035963997 scopus 로고    scopus 로고
    • Directed packing and covering designs with block size four
    • Assaf A.M., Shalaby N., Yin J.: Directed packing and covering designs with block size four. Discrete Math. 238, 3-17 (2001)
    • (2001) Discrete Math. , vol.238 , pp. 3-17
    • Assaf, A.M.1    Shalaby, N.2    Yin, J.3
  • 3
    • 0040674790 scopus 로고    scopus 로고
    • Existence of directed GDDs with block size five
    • Bennett F.E., Shalaby N., Yin J.: Existence of directed GDDs with block size five. J. Comb. Des. 6, 389-402 (1998)
    • (1998) J. Comb. Des. , vol.6 , pp. 389-402
    • Bennett, F.E.1    Shalaby, N.2    Yin, J.3
  • 5
    • 47749137526 scopus 로고
    • On λ-packings with block size four (ν ≢ 0 mod 3)
    • Billington E.J., Stanton R.G., Stinson D.R.: On λ-packings with block size four (ν ≢ 0 mod 3). Ars Combin. 17A, 73-84 (1984)
    • (1984) Ars Combin. , vol.17 , pp. 73-84
    • Billington, E.J.1    Stanton, R.G.2    Stinson, D.R.3
  • 6
    • 0038896703 scopus 로고
    • On the construction of perfect deletion-correcting codes using design theory
    • Bours P.A.H.: On the construction of perfect deletion-correcting codes using design theory. Des. Codes Cryptogr. 6, 5-20 (1995)
    • (1995) Des. Codes Cryptogr. , vol.6 , pp. 5-20
    • Bours, P.A.H.1
  • 9
    • 0000039298 scopus 로고
    • Every twofold triple system triple system can be directed
    • Colbourn C.J., Colbourn M.J.: Every twofold triple system triple system can be directed. J. Combin. Theory A 34, 375-378 (1983)
    • (1983) J. Combin. Theory A , vol.34 , pp. 375-378
    • Colbourn, C.J.1    Colbourn, M.J.2
  • 11
    • 49549139524 scopus 로고
    • Balance incomplete block designs and related designs
    • Hanani H.: Balance incomplete block designs and related designs. Discrete Math. 11, 255-369 (1975)
    • (1975) Discrete Math. , vol.11 , pp. 255-369
    • Hanani, H.1
  • 12
    • 0345742417 scopus 로고    scopus 로고
    • On perfect deletion-correcting codes
    • Klein A.: On perfect deletion-correcting codes. J. Comb. Des. 12, 72-77 (2004)
    • (2004) J. Comb. Des. , vol.12 , pp. 72-77
    • Klein, A.1
  • 13
    • 0000633940 scopus 로고
    • On perfect codes in deletion and insertion metric
    • Levenshtein V.I.: On perfect codes in deletion and insertion metric. Discrete Math. Appl. 2, 241-258 (1992)
    • (1992) Discrete Math. Appl. , vol.2 , pp. 241-258
    • Levenshtein, V.I.1
  • 14
    • 0040081172 scopus 로고    scopus 로고
    • Existence of perfect 3-deletion-correcting codes
    • Mahmoodi A.: Existence of perfect 3-deletion-correcting codes. Des. Codes Cryptogr. 14, 81-87 (1998)
    • (1998) Des. Codes Cryptogr. , vol.14 , pp. 81-87
    • Mahmoodi, A.1
  • 16
    • 1342316741 scopus 로고
    • On packings of pairs by quintuples: ν ≡ 3, 9 or 17 (mod 20)
    • Mullin R.C., Yin J.: On packings of pairs by quintuples: ν ≡ 3, 9 or 17 (mod 20). Ars Combin. 35, 161-171 (1993)
    • (1993) Ars Combin. , vol.35 , pp. 161-171
    • Mullin, R.C.1    Yin, J.2
  • 17
    • 0040674791 scopus 로고
    • Some results on directed and cyclic designs
    • Sarvate D.G.: Some results on directed and cyclic designs. Ars Combin. 19A, 179-190 (1985)
    • (1985) Ars Combin. , vol.19 , pp. 179-190
    • Sarvate, D.G.1
  • 18
    • 31244438396 scopus 로고    scopus 로고
    • Existence of perfect 4-deletion-correcting codes with length six
    • Shalaby N., Wang J., Yin J.: Existence of perfect 4-deletion-correcting codes with length six. Des. Codes Cryptogr. 27, 145-156 (2002)
    • (2002) Des. Codes Cryptogr. , vol.27 , pp. 145-156
    • Shalaby, N.1    Wang, J.2    Yin, J.3
  • 19
    • 0038896699 scopus 로고
    • Directed packings with block size 5 and even v
    • Shalaby N., Yin J.: Directed packings with block size 5 and even v. Des. Codes Cryptogr. 6, 133-142 (1995)
    • (1995) Des. Codes Cryptogr. , vol.6 , pp. 133-142
    • Shalaby, N.1    Yin, J.2
  • 20
    • 0013512115 scopus 로고
    • All DBIBDs with block size four exist
    • Street D.J., Seberry J.R.: All DBIBDs with block size four exist. Utilitas Math. 18, 27-34 (1980)
    • (1980) Utilitas Math. , vol.18 , pp. 27-34
    • Street, D.J.1    Seberry, J.R.2
  • 21
    • 0002868430 scopus 로고
    • On directed balanced incomplete block designs with block size five
    • Street D.J., Wilson W.H.: On directed balanced incomplete block designs with block size five. Utilitas Math. 18, 161-174 (1980)
    • (1980) Utilitas Math. , vol.18 , pp. 161-174
    • Street, D.J.1    Wilson, W.H.2
  • 22
    • 11144248479 scopus 로고    scopus 로고
    • Existence of T* (3, 4, v)-codes
    • Wang J., Ji L.: Existence of T*(3, 4, v)-codes. J. Comb. Des. 13, 42-53 (2005)
    • (2005) J. Comb. Des. , vol.13 , pp. 42-53
    • Wang, J.1    Ji, L.2
  • 23
    • 33746626916 scopus 로고    scopus 로고
    • Constructions for perfect 5-deletion-correcting codes of length 7
    • Wang J., Yin J.: Constructions for perfect 5-deletion-correcting codes of length 7. IEEE Trans. Inform. Theory 52, 3676-3685 (2006)
    • (2006) IEEE Trans. Inform. Theory , vol.52 , pp. 3676-3685
    • Wang, J.1    Yin, J.2
  • 24
    • 0346751611 scopus 로고
    • On the packing of pairs by quintuples with index 2
    • Yin J.: On the packing of pairs by quintuples with index 2. Ars Combin. 31, 287-301 (1991)
    • (1991) Ars Combin. , vol.31 , pp. 287-301
    • Yin, J.1
  • 25
    • 0035341534 scopus 로고    scopus 로고
    • A combinatorial construction for perfect deletion-correcting codes
    • Yin J.: A combinatorial construction for perfect deletion-correcting codes. Des. Codes Cryptogr. 23, 99-110 (2001)
    • (2001) Des. Codes Cryptogr. , vol.23 , pp. 99-110
    • Yin, J.1
  • 26
    • 0041692267 scopus 로고    scopus 로고
    • Constructions of optimal packing designs
    • Yin J., Assaf A.M.: Constructions of optimal packing designs. J. Comb. Des. 6, 245-260 (1998)
    • (1998) J. Comb. Des. , vol.6 , pp. 245-260
    • Yin, J.1    Assaf, A.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.