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Volumn 113, Issue 7, 2006, Pages 1526-1535

A family of skew Hadamard difference sets

Author keywords

Perfect nonlinear function; Planar function; Skew Hadamard difference set

Indexed keywords


EID: 33746660811     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2005.10.006     Document Type: Article
Times cited : (284)

References (23)
  • 2
    • 23144456502 scopus 로고
    • Antisymmetric difference sets
    • Camion P., and Mann H.B. Antisymmetric difference sets. J. Number Theory 4 (1972) 266-268
    • (1972) J. Number Theory , vol.4 , pp. 266-268
    • Camion, P.1    Mann, H.B.2
  • 3
    • 1942507994 scopus 로고    scopus 로고
    • Highly nonlinear mappings
    • Carlet C., and Ding C. Highly nonlinear mappings. J. Complexity 20 2 (2004) 205-244
    • (2004) J. Complexity , vol.20 , Issue.2 , pp. 205-244
    • Carlet, C.1    Ding, C.2
  • 4
    • 23144434016 scopus 로고
    • An exponent bound on skew Hadamard abelian difference sets
    • Chen Y.Q., Xiang Q., and Sehgal S.K. An exponent bound on skew Hadamard abelian difference sets. Des. Codes Cryptogr. 4 (1994) 313-317
    • (1994) Des. Codes Cryptogr. , vol.4 , pp. 313-317
    • Chen, Y.Q.1    Xiang, Q.2    Sehgal, S.K.3
  • 5
    • 0001307838 scopus 로고    scopus 로고
    • Planar functions and planes of Lenz-Barlotti class II
    • Coulter R.S., and Matthews R.W. Planar functions and planes of Lenz-Barlotti class II. Des. Codes Cryptogr. 10 (1997) 167-184
    • (1997) Des. Codes Cryptogr. , vol.10 , pp. 167-184
    • Coulter, R.S.1    Matthews, R.W.2
  • 7
    • 0348034886 scopus 로고
    • Skew-Hadamard abelian group difference sets
    • Johnson E.C. Skew-Hadamard abelian group difference sets. J. Algebra 4 (1966) 388-402
    • (1966) J. Algebra , vol.4 , pp. 388-402
    • Johnson, E.C.1
  • 8
    • 0347404085 scopus 로고
    • On λ-ovals and difference sets
    • Bodendieck R. (Ed), Bibliographisches Institut, Mannheim
    • Jungnickel D. On λ-ovals and difference sets. In: Bodendieck R. (Ed). Contemporary Methods in Graph Theory (1990), Bibliographisches Institut, Mannheim 429-448
    • (1990) Contemporary Methods in Graph Theory , pp. 429-448
    • Jungnickel, D.1
  • 9
    • 0002632053 scopus 로고
    • Difference sets
    • Contemporary Design Theory, A Collection of Surveys. Dinitz J., and Stinson D.R. (Eds), Wiley, New York
    • Jungnickel D. Difference sets. In: Dinitz J., and Stinson D.R. (Eds). Contemporary Design Theory, A Collection of Surveys. Wiley-Intersci. Ser. Discrete Math. Optim. (1992), Wiley, New York 241-324
    • (1992) Wiley-Intersci. Ser. Discrete Math. Optim. , pp. 241-324
    • Jungnickel, D.1
  • 10
    • 0009127129 scopus 로고    scopus 로고
    • Difference sets: An update
    • Hirschfeld J.W.P., Magliveras S.S., and Resmini M.J.d. (Eds), Cambridge Univ. Press, Cambridge
    • Jungnickel D., and Schmidt B. Difference sets: An update. In: Hirschfeld J.W.P., Magliveras S.S., and Resmini M.J.d. (Eds). Geometry, Combinatorial Designs and Related Structures (1997), Cambridge Univ. Press, Cambridge 89-112
    • (1997) Geometry, Combinatorial Designs and Related Structures , pp. 89-112
    • Jungnickel, D.1    Schmidt, B.2
  • 11
    • 84968491408 scopus 로고
    • A characteristic property of quadratic residues
    • Kelly J.B. A characteristic property of quadratic residues. Proc. Amer. Math. Soc. 5 (1954) 38-46
    • (1954) Proc. Amer. Math. Soc. , vol.5 , pp. 38-46
    • Kelly, J.B.1
  • 14
    • 0030587987 scopus 로고    scopus 로고
    • Planar functions, relative difference sets, and character theory
    • Ma S.L. Planar functions, relative difference sets, and character theory. J. Algebra 185 2 (1996) 342-356
    • (1996) J. Algebra , vol.185 , Issue.2 , pp. 342-356
    • Ma, S.L.1
  • 15
    • 0000573213 scopus 로고
    • Relative difference sets, planar functions, and generalized Hadamard matrices
    • Ma S.L., and Pott A. Relative difference sets, planar functions, and generalized Hadamard matrices. J. Algebra 175 2 (1995) 505-525
    • (1995) J. Algebra , vol.175 , Issue.2 , pp. 505-525
    • Ma, S.L.1    Pott, A.2
  • 16
    • 1842741101 scopus 로고    scopus 로고
    • Skew-Hadamard matrices and the Smith normal form
    • Michael T.S., and Wallis W.D. Skew-Hadamard matrices and the Smith normal form. Des. Codes Cryptogr. 13 (1998) 173-176
    • (1998) Des. Codes Cryptogr. , vol.13 , pp. 173-176
    • Michael, T.S.1    Wallis, W.D.2
  • 17
    • 85030461165 scopus 로고
    • Perfect nonlinear S-boxes
    • Advances in Cryptology, Proc. of Eurocrypt '91, Springer-Verlag, Berlin
    • Nyberg K. Perfect nonlinear S-boxes. Advances in Cryptology, Proc. of Eurocrypt '91. Lecture Notes in Comput. Sci. vol. 547 (1992), Springer-Verlag, Berlin 378-386
    • (1992) Lecture Notes in Comput. Sci. , vol.547 , pp. 378-386
    • Nyberg, K.1
  • 19
    • 85172004211 scopus 로고
    • On orthogonal matrices
    • Paley R.E.A.C. On orthogonal matrices. J. Math. Phys. MIT 12 (1933) 311-320
    • (1933) J. Math. Phys. MIT , vol.12 , pp. 311-320
    • Paley, R.E.A.C.1
  • 20
    • 1242287443 scopus 로고    scopus 로고
    • Nonlinear functions in abelian groups and relative difference sets
    • Pott A. Nonlinear functions in abelian groups and relative difference sets. Discrete Appl. Math. 138 (2004) 177-193
    • (2004) Discrete Appl. Math. , vol.138 , pp. 177-193
    • Pott, A.1
  • 21
    • 0004289152 scopus 로고
    • Springer-Verlag, New York
    • Roman S. Field Theory (1995), Springer-Verlag, New York
    • (1995) Field Theory
    • Roman, S.1
  • 23
    • 33746654195 scopus 로고    scopus 로고
    • Recent results on p-ranks and Smith normal forms of some 2-(v, k, λ) designs
    • Coding Theory and Quantum Computing. Evans D., et al. (Ed), Amer. Math. Soc., Providense, RI
    • Xiang Q. Recent results on p-ranks and Smith normal forms of some 2-(v, k, λ) designs. In: Evans D., et al. (Ed). Coding Theory and Quantum Computing. Contemp. Math. vol. 381 (2005), Amer. Math. Soc., Providense, RI 53-67
    • (2005) Contemp. Math. , vol.381 , pp. 53-67
    • Xiang, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.