메뉴 건너뛰기




Volumn 24, Issue 1, 2003, Pages 85-98

Codes, graphs, and schemes from nonlinear functions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037286797     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0195-6698(02)00116-6     Document Type: Article
Times cited : (26)

References (21)
  • 1
    • 0038072416 scopus 로고    scopus 로고
    • Crooked functions, bent functions, and distance regular graphs
    • Bending T. Fon-Der-Flaass D. Crooked functions, bent functions, and distance regular graphs Electron. J. Comb. 5 R34 1998 14
    • (1998) Electron. J. Comb. , vol.5 , Issue.R34 , pp. 14
    • Bending, T.1    Fon-Der-Flaass, D.2
  • 3
    • 0038072417 scopus 로고
    • A sharpening of the Johnson bound for binary linear codes and the nonexistence of linear codes with Preparata parameters
    • Brouwer A.E. Tolhuizen L.M.G.M. A sharpening of the Johnson bound for binary linear codes and the nonexistence of linear codes with Preparata parameters Des. Codes Cryptogr. 3 1993 95-98
    • (1993) Des. Codes Cryptogr. , vol.3 , pp. 95-98
    • Brouwer, A.E.1    Tolhuizen, L.M.G.M.2
  • 4
    • 0038748941 scopus 로고    scopus 로고
    • Association schemes related to Kasami codes and Kerdock sets
    • de Caen D. van Dam E.R. Association schemes related to Kasami codes and Kerdock sets Des. Codes Cryptogr. 18 1999 89-102
    • (1999) Des. Codes Cryptogr. , vol.18 , pp. 89-102
    • de Caen, D.1    van Dam, E.R.2
  • 5
    • 53249148692 scopus 로고
    • A family of antipodal distance-regular graphs related to the classical Preparata codes
    • de Caen D. Mathon R. Moorhouse G.E. A family of antipodal distance-regular graphs related to the classical Preparata codes J. Algebr. Comb. 4 1995 317-327
    • (1995) J. Algebr. Comb. , vol.4 , pp. 317-327
    • de Caen, D.1    Mathon, R.2    Moorhouse, G.E.3
  • 7
    • 0033882818 scopus 로고    scopus 로고
    • Binary m-sequences with three-valued crosscorrelation: A proof of Welch's conjecture
    • Canteaut A. Charpin P. Dobbertin H. Binary m-sequences with three-valued crosscorrelation: a proof of Welch's conjecture IEEE Trans. Inform. Theory 46 2000 4-8
    • (2000) IEEE Trans. Inform. Theory , vol.46 , pp. 4-8
    • Canteaut, A.1    Charpin, P.2    Dobbertin, H.3
  • 8
    • 0000805465 scopus 로고    scopus 로고
    • Codes, bent functions and permutations suitable for DES-like cryptosystems
    • Carlet C. Charpin P. Zinoviev V. Codes, bent functions and permutations suitable for DES-like cryptosystems Des. Codes Cryptogr. 15 1998 125-156
    • (1998) Des. Codes Cryptogr. , vol.15 , pp. 125-156
    • Carlet, C.1    Charpin, P.2    Zinoviev, V.3
  • 10
    • 0000050245 scopus 로고    scopus 로고
    • Open problems on cyclic codes
    • V. S. Pless, & W. C. Huffman (Eds.), Amsterdam: Elsevier
    • Charpin P. Open problems on cyclic codes in: Pless V.S. Huffman W.C. (Eds.), Handbook of Coding Theory 1998 963-1063 Elsevier Amsterdam
    • (1998) Handbook of Coding Theory , pp. 963-1063
    • Charpin, P.1
  • 11
    • 0037734834 scopus 로고    scopus 로고
    • A class of functions and their application in constructing semi-biplanes and association schemes
    • Coulter R.S. Henderson M. A class of functions and their application in constructing semi-biplanes and association schemes Discrete Math. 202 1999 21-31
    • (1999) Discrete Math. , vol.202 , pp. 21-31
    • Coulter, R.S.1    Henderson, M.2
  • 12
    • 0038410825 scopus 로고    scopus 로고
    • Uniformly packed codes and more distance regular graphs from crooked functions
    • van Dam E.R. Fon-Der-Flaass D. Uniformly packed codes and more distance regular graphs from crooked functions J. Algebr. Comb. 12 2000 115-121
    • (2000) J. Algebr. Comb. , vol.12 , pp. 115-121
    • van Dam, E.R.1    Fon-Der-Flaass, D.2
  • 13
    • 0037734831 scopus 로고    scopus 로고
    • n): A new case for n divisible by 5
    • D. Jungnickel, & H. Niederreiter (Eds.), Berlin: Springer
    • n): a new case for n divisible by 5 in: Jungnickel D. Niederreiter H. (Eds.), Finite Fields and Applications 2001 113-121 Springer Berlin
    • (2001) Finite Fields and Applications , pp. 113-121
    • Dobbertin, H.1
  • 14
    • 84937741493 scopus 로고
    • Maximal recursive sequences with 3-valued recursive crosscorrelation functions
    • Gold R. Maximal recursive sequences with 3-valued recursive crosscorrelation functions IEEE Trans. Inform. Theory 14 1968 154-156
    • (1968) IEEE Trans. Inform. Theory , vol.14 , pp. 154-156
    • Gold, R.1
  • 15
    • 0000570172 scopus 로고    scopus 로고
    • Sequences with low correlation
    • V. S. Pless, & W. C. Huffman (Eds.), Amsterdam: Elsevier
    • Helleseth T. Kumar P.V. Sequences with low correlation in: Pless V.S. Huffman W.C. (Eds.), Handbook of Coding Theory 1998 1765-1853 Elsevier Amsterdam
    • (1998) Handbook of Coding Theory , pp. 1765-1853
    • Helleseth, T.1    Kumar, P.V.2
  • 16
    • 0038410824 scopus 로고    scopus 로고
    • A proof of the Welch and Niho conjectures on cross-correlations of binary m-sequences
    • Hollmann H.D.L. Xiang Q. A proof of the Welch and Niho conjectures on cross-correlations of binary m-sequences Finite Fields Appl. 7 2001 253-286
    • (2001) Finite Fields Appl. , vol.7 , pp. 253-286
    • Hollmann, H.D.L.1    Xiang, Q.2
  • 17
    • 0001059304 scopus 로고
    • The weight enumerators for several classes of subcodes of the second order binary Reed-Muller codes
    • Kasami T. The weight enumerators for several classes of subcodes of the second order binary Reed-Muller codes Inform. Control. 18 1971 369-394
    • (1971) Inform. Control. , vol.18 , pp. 369-394
    • Kasami, T.1
  • 20
    • 84972540358 scopus 로고
    • Character sums and difference sets
    • Turyn R.J. Character sums and difference sets Pacific J. Math. 15 1965 319-346
    • (1965) Pacific J. Math. , vol.15 , pp. 319-346
    • Turyn, R.J.1
  • 21
    • 0038748928 scopus 로고    scopus 로고
    • Maximally nonlinear functions and bent functions
    • Q. Xiang, Maximally nonlinear functions and bent functions, Des. Codes Cryptogr. 17 (1999) 211-218.
    • (1999) Des. Codes Cryptogr. , vol.17 , pp. 211-218
    • Xiang, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.