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Volumn 49, Issue 1-3, 2008, Pages 79-94

Bundles, presemifields and nonlinear functions

Author keywords

APN function; Cocycle; Differential cryptanalysis; EA equivalence class; Presemifield

Indexed keywords

PROGRAMMING THEORY;

EID: 51549097380     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10623-008-9172-z     Document Type: Article
Times cited : (7)

References (28)
  • 2
    • 0031232428 scopus 로고    scopus 로고
    • The MAGMA algebra system I: The user language
    • Bosma W., Cannon J., Playoust C. (1997) The MAGMA algebra system I: the user language. J. Symbol. Comp. 24:235-265
    • (1997) J. Symbol. Comp. , vol.24 , pp. 235-265
    • Bosma, W.1    Cannon, J.2    Playoust, C.3
  • 3
    • 43749118484 scopus 로고    scopus 로고
    • On the classification of APN functions up to dimension five
    • April 16-20, 2007, INRIA-Rocquencourt, France
    • Brinkmann M., Leander G.: On the classification of APN functions up to dimension five. In: Proceedings, International Workshop on Coding and Cryptography, April 16-20, 2007, INRIA-Rocquencourt, France, pp. 39-48 (2007).
    • (2007) Proceedings, International Workshop on Coding and Cryptography , pp. 39-48
    • Brinkmann, M.1    Leander, G.2
  • 5
    • 39049086333 scopus 로고    scopus 로고
    • An infinite class of quadratic APN functions which are not equivalent to power mappings
    • Cryptology ePrint Archive: Report 2005/359, July 9-14, 2006, Seattle, USA, IEEE
    • Budaghyan L., Carlet C., Felke P., Leander G.: An infinite class of quadratic APN functions which are not equivalent to power mappings, Cryptology ePrint Archive: Report 2005/359 http://eprint.iacr.org/2005/35. In: Proceedings ISIT, July 9-14, 2006, Seattle, USA, IEEE, pp. 2637-2641 (2006).
    • (2006) Proceedings ISIT , pp. 2637-2641
    • Budaghyan, L.1    Carlet, C.2    Felke, P.3    Leander, G.4
  • 6
    • 33748567562 scopus 로고    scopus 로고
    • New classes of almost bent and almost perfect nonlinear polynomials
    • Budaghyan L., Carlet C., Pott A. (2006) New classes of almost bent and almost perfect nonlinear polynomials. IEEE Trans. Inform. Theory 52:1141-1152
    • (2006) IEEE Trans. Inform. Theory , vol.52 , pp. 1141-1152
    • Budaghyan, L.1    Carlet, C.2    Pott, A.3
  • 7
    • 48849097795 scopus 로고    scopus 로고
    • Boolean functions for cryptography and error-correcting codes; And, vectorial boolean functions for cryptography
    • In: Hammer P., Crama Y. (eds.) Cambridge (to appear).
    • Carlet C.: Boolean functions for cryptography and error-correcting codes; and, Vectorial Boolean functions for cryptography. In: Hammer P., Crama Y. (eds.) Boolean Methods and Models, CUP, Cambridge (to appear).
    • Boolean Methods and Models, CUP
    • Carlet, C.1
  • 8
    • 0000805465 scopus 로고    scopus 로고
    • Codes, bent functions and permutations suitable for DES-like cryptosystems
    • Carlet C., Charpin P., Zinoviev V. (1998) Codes, bent functions and permutations suitable for DES-like cryptosystems. Des. Codes Cryptogr. 15:125-156
    • (1998) Des. Codes Cryptogr. , vol.15 , pp. 125-156
    • Carlet, C.1    Charpin, P.2    Zinoviev, V.3
  • 9
    • 1942507994 scopus 로고    scopus 로고
    • Highly nonlinear mappings
    • Carlet C., Ding C. (2004) Highly nonlinear mappings. J. Complexity 20:205-244
    • (2004) J. Complexity , vol.20 , pp. 205-244
    • Carlet, C.1    Ding, C.2
  • 11
    • 0042281178 scopus 로고    scopus 로고
    • A survey of finite semifields
    • 209
    • Cordero M., Wene G.P. (1999) A survey of finite semifields. Discrete Math. 208/209:125-137
    • (1999) Discrete Math. , vol.208 , pp. 125-137
    • Cordero, M.1    Wene, G.P.2
  • 12
    • 0001307838 scopus 로고    scopus 로고
    • Planar functions and planes of Lenz-Barlotti Class II
    • Coulter R.S., Matthews R.W. (1997) Planar functions and planes of Lenz-Barlotti Class II. Des. Codes Cryptogr. 10:167-184
    • (1997) Des. Codes Cryptogr. , vol.10 , pp. 167-184
    • Coulter, R.S.1    Matthews, R.W.2
  • 14
    • 31744449110 scopus 로고    scopus 로고
    • A new APN function which is not equivalent to a power mapping
    • Edel Y., Kyureghyan G., Pott A. (2006) A new APN function which is not equivalent to a power mapping. IEEE Trans. Inform. Theory 52:744-747
    • (2006) IEEE Trans. Inform. Theory , vol.52 , pp. 744-747
    • Edel, Y.1    Kyureghyan, G.2    Pott, A.3
  • 15
    • 3042549701 scopus 로고    scopus 로고
    • A group extensions approach to relative difference sets
    • Galati J.C. (2004) A group extensions approach to relative difference sets. J. Combin. Designs 12:279-298
    • (2004) J. Combin. Designs , vol.12 , pp. 279-298
    • Galati, J.C.1
  • 17
    • 33745668665 scopus 로고    scopus 로고
    • A theory of highly nonlinear functions
    • Springer Berlin
    • Horadam K.J. (2006) A theory of highly nonlinear functions. In: Fossorier M., et al. (eds) AAECC-16, LNCS 3857. Springer, Berlin, pp. 87-100
    • (2006) AAECC-16, LNCS 3857 , pp. 87-100
    • Horadam, K.J.1    Fossorier, M.2
  • 22
    • 0001168644 scopus 로고
    • Finite semifields and projective planes
    • Knuth D.E. (1965) Finite semifields and projective planes. J. Algebra 2:182-217
    • (1965) J. Algebra , vol.2 , pp. 182-217
    • Knuth, D.E.1
  • 25
    • 43249127295 scopus 로고    scopus 로고
    • Direct sums of balanced functions, perfect nonlinear functions and orthogonal cocycles
    • to appear.
    • LeBel A., Horadam K.J.: Direct sums of balanced functions, perfect nonlinear functions and orthogonal cocycles. J. Combin. Designs (2008) to appear.
    • (2008) J.Combin. Designs
    • Lebel, A.1    Horadam, K.J.2
  • 26
    • 38149133803 scopus 로고    scopus 로고
    • A construction of differentially 4-uniform functions from commutative semifields of characteristic 2
    • Springer Berlin
    • Nakagawa N., Yoshiara S. (2007) A construction of differentially 4-uniform functions from commutative semifields of characteristic 2. In: Carlet C., Sunar B. (eds). WAIFI 2007, LNCS 4547. Springer, Berlin, pp. 134-146
    • (2007) WAIFI 2007, LNCS 4547 , pp. 134-146
    • Nakagawa, N.1    Yoshiara, S.2    Carlet, C.3    Sunar, B.4
  • 27
    • 0038477493 scopus 로고    scopus 로고
    • Cocyclic generalised Hadamard matrices and central relative difference sets
    • Perera A.A.I., Horadam K.J. (1998) Cocyclic generalised Hadamard matrices and central relative difference sets. Des. Codes Cryptogr. 15:187-200
    • (1998) Des. Codes Cryptogr. , vol.15 , pp. 187-200
    • Perera, A.A.I.1    Horadam, K.J.2
  • 28
    • 1242287443 scopus 로고    scopus 로고
    • Nonlinear functions in Abelian groups and relative difference sets
    • Pott A. (2004) Nonlinear functions in Abelian groups and relative difference sets. Discrete Appl. Math. 138:177-193
    • (2004) Discrete Appl. Math. , vol.138 , pp. 177-193
    • Pott, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.