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Volumn 118, Issue 6, 2011, Pages 1761-1774

Optimal permutation anticodes with the infinity norm via permanents of (0,1)-matrices

Author keywords

Infinity norm; Optimal anticode; Permanent; Permutations

Indexed keywords


EID: 79952323821     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2011.02.008     Document Type: Article
Times cited : (23)

References (29)
  • 2
    • 0039243737 scopus 로고    scopus 로고
    • The diametric theorem in Hamming spaces-optimal anticodes
    • Ahlswede R., Khachatrian L.H. The diametric theorem in Hamming spaces-optimal anticodes. Adv. in Appl. Math. 1998, 20:429-449.
    • (1998) Adv. in Appl. Math. , vol.20 , pp. 429-449
    • Ahlswede, R.1    Khachatrian, L.H.2
  • 4
    • 67349095347 scopus 로고    scopus 로고
    • Error-correcting codes from permutation groups
    • Bailey R.F. Error-correcting codes from permutation groups. Discrete Math. 2009, 309(13):4253-4265.
    • (2009) Discrete Math. , vol.309 , Issue.13 , pp. 4253-4265
    • Bailey, R.F.1
  • 5
    • 77953771737 scopus 로고    scopus 로고
    • Codes in permutations and error correction for rank modulation
    • Barg A., Mazumdar A. Codes in permutations and error correction for rank modulation. IEEE Trans. Inform. Theory 2010, 56(7):3158-3165.
    • (2010) IEEE Trans. Inform. Theory , vol.56 , Issue.7 , pp. 3158-3165
    • Barg, A.1    Mazumdar, A.2
  • 6
    • 0000906859 scopus 로고
    • Some properties of nonnegative matrices and their permanents
    • Brégman L.M. Some properties of nonnegative matrices and their permanents. Soviet Math. Dokl. 1973, 14:945-949.
    • (1973) Soviet Math. Dokl. , vol.14 , pp. 945-949
    • Brégman, L.M.1
  • 7
    • 52349083802 scopus 로고
    • Rank permutation group codes based on Kendall's correlation statistic
    • Chadwick H.D., Kurz L. Rank permutation group codes based on Kendall's correlation statistic. IEEE Trans. Inform. Theory 1969, 15(2):306-315.
    • (1969) IEEE Trans. Inform. Theory , vol.15 , Issue.2 , pp. 306-315
    • Chadwick, H.D.1    Kurz, L.2
  • 8
    • 3543117778 scopus 로고    scopus 로고
    • Constructions for permutation codes in powerline communications
    • Chu W., Colbourn C.J., Dukes P. Constructions for permutation codes in powerline communications. Des. Codes Cryptogr. 2004, 32(1-3):51-64.
    • (2004) Des. Codes Cryptogr. , vol.32 , Issue.1-3 , pp. 51-64
    • Chu, W.1    Colbourn, C.J.2    Dukes, P.3
  • 9
    • 85041979556 scopus 로고
    • An algebraic approach to the association schemes of coding theory
    • Delsarte P. An algebraic approach to the association schemes of coding theory. Philips Res. Rep. Suppl. 1973, 10:1-97.
    • (1973) Philips Res. Rep. Suppl. , vol.10 , pp. 1-97
    • Delsarte, P.1
  • 10
    • 33646424325 scopus 로고    scopus 로고
    • Metrics on permutations, a survey
    • Deza M., Huang H. Metrics on permutations, a survey. J. Comb. Inf. Syst. Sci. 1998, 23:173-185.
    • (1998) J. Comb. Inf. Syst. Sci. , vol.23 , pp. 173-185
    • Deza, M.1    Huang, H.2
  • 11
    • 0001319616 scopus 로고
    • On the maximum number of permutations with given maximal or minimal distance
    • Frankl P., Deza M. On the maximum number of permutations with given maximal or minimal distance. J. Combin. Theory Ser. A 1977, 22:352-360.
    • (1977) J. Combin. Theory Ser. A , vol.22 , pp. 352-360
    • Frankl, P.1    Deza, M.2
  • 12
    • 84960611591 scopus 로고
    • Intersection theorems for systems of finite sets
    • Erdos P., Ko C., Rado R. Intersection theorems for systems of finite sets. Q. J. Math. 1961, 12:313-320.
    • (1961) Q. J. Math. , vol.12 , pp. 313-320
    • Erdos, P.1    Ko, C.2    Rado, R.3
  • 13
    • 30744444455 scopus 로고    scopus 로고
    • Optimal tristance anticodes in certain graphs
    • Etzion T., Schwartz M., Vardy A. Optimal tristance anticodes in certain graphs. J. Combin. Theory Ser. A 2005, 113(2):189-224.
    • (2005) J. Combin. Theory Ser. A , vol.113 , Issue.2 , pp. 189-224
    • Etzion, T.1    Schwartz, M.2    Vardy, A.3
  • 14
    • 0014798218 scopus 로고
    • Linear binary anticodes
    • Farrell P.G. Linear binary anticodes. Electron. Lett. 1970, 6:419-421.
    • (1970) Electron. Lett. , vol.6 , pp. 419-421
    • Farrell, P.G.1
  • 15
    • 38249039108 scopus 로고
    • The Erdös-Ko-Rado theorem for vector spaces
    • Frankl P., Wilson R.M. The Erdös-Ko-Rado theorem for vector spaces. J. Combin. Theory Ser. A 1986, 43:228-236.
    • (1986) J. Combin. Theory Ser. A , vol.43 , pp. 228-236
    • Frankl, P.1    Wilson, R.M.2
  • 16
    • 2442426074 scopus 로고    scopus 로고
    • Two constructions of permutation arrays
    • Fu F.-W., Kløve T. Two constructions of permutation arrays. IEEE Trans. Inform. Theory 2004, 50(5):881-883.
    • (2004) IEEE Trans. Inform. Theory , vol.50 , Issue.5 , pp. 881-883
    • Fu, F.-W.1    Kløve, T.2
  • 17
    • 77951568165 scopus 로고    scopus 로고
    • Correcting charge-constrained errors in the rank-modulation scheme
    • Jiang A., Schwartz M., Bruck J. Correcting charge-constrained errors in the rank-modulation scheme. IEEE Trans. Inform. Theory 2010, 56(5):2112-2120.
    • (2010) IEEE Trans. Inform. Theory , vol.56 , Issue.5 , pp. 2112-2120
    • Jiang, A.1    Schwartz, M.2    Bruck, J.3
  • 18
    • 69049084821 scopus 로고    scopus 로고
    • Generating functions for the number of permutations with limited displacement
    • Kløve T. Generating functions for the number of permutations with limited displacement. Electron. J. Combin. 2009, 16:1-11.
    • (2009) Electron. J. Combin. , vol.16 , pp. 1-11
    • Kløve, T.1
  • 22
    • 0008379531 scopus 로고
    • Anticodes for the Grassman and bilinear forms graphs
    • Martin W.J., Zhu X.J. Anticodes for the Grassman and bilinear forms graphs. Des. Codes Cryptogr. 1995, 6(1):73-79.
    • (1995) Des. Codes Cryptogr. , vol.6 , Issue.1 , pp. 73-79
    • Martin, W.J.1    Zhu, X.J.2
  • 23
    • 0003350278 scopus 로고
    • Permanents
    • Cambridge University Press
    • Minc H. Permanents. Encyclopedia Math. Appl. 1978, vol. 6. Cambridge University Press.
    • (1978) Encyclopedia Math. Appl. , vol.6
    • Minc, H.1
  • 24
    • 58049195555 scopus 로고    scopus 로고
    • Efficiently computing the permanent and hafnian of some banded toeplitz matrices
    • Schwartz M. Efficiently computing the permanent and hafnian of some banded toeplitz matrices. Linear Algebra Appl. 2009, 430(4):1364-1374.
    • (2009) Linear Algebra Appl. , vol.430 , Issue.4 , pp. 1364-1374
    • Schwartz, M.1
  • 25
    • 0036169427 scopus 로고    scopus 로고
    • Codes and anticodes in the Grassman graph
    • Schwartz M., Etzion T. Codes and anticodes in the Grassman graph. J. Combin. Theory Ser. A 2002, 97(1):27-42.
    • (2002) J. Combin. Theory Ser. A , vol.97 , Issue.1 , pp. 27-42
    • Schwartz, M.1    Etzion, T.2
  • 26
    • 0000163235 scopus 로고
    • Algebraically punctured cyclic codes
    • Solomon G., Stiffler I.I. Algebraically punctured cyclic codes. Inform. Control 1965, 8(2):170-179.
    • (1965) Inform. Control , vol.8 , Issue.2 , pp. 170-179
    • Solomon, G.1    Stiffler, I.I.2
  • 27
    • 77957569439 scopus 로고    scopus 로고
    • Correcting limited-magnitude errors in the rank-modulation scheme
    • Tamo I., Schwartz M. Correcting limited-magnitude errors in the rank-modulation scheme. IEEE Trans. Inform. Theory 2010, 56(6):2551-2560.
    • (2010) IEEE Trans. Inform. Theory , vol.56 , Issue.6 , pp. 2551-2560
    • Tamo, I.1    Schwartz, M.2
  • 29
    • 0141860546 scopus 로고    scopus 로고
    • Maximising the permanent and complementary permanent of (0,1)-matrices with constant line sum
    • Wanless I.M. Maximising the permanent and complementary permanent of (0,1)-matrices with constant line sum. Discrete Math. 1999, 205:191-205.
    • (1999) Discrete Math. , vol.205 , pp. 191-205
    • Wanless, I.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.