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Volumn 89, Issue 10, 2012, Pages 1319-1331

New constructions of balanced Boolean functions with high nonlinearity and optimal algebraic degree

Author keywords

algebraic degree; balanced function; Boolean function; nonlinearity; stream cipher

Indexed keywords


EID: 84862674533     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160.2012.687726     Document Type: Article
Times cited : (5)

References (21)
  • 1
  • 2
    • 77954757533 scopus 로고    scopus 로고
    • Propagation characteristics and correlation-immunity of highly nonlinear Boolean functions
    • Bruges, Belgium, Springer, Heidelberg, 14-18 May
    • A. Canteaut, C. Carlet, P. Charpin, and C. Fontaine, Propagation characteristics and correlation-immunity of highly nonlinear Boolean functions, Proceedings of Cryptology-EUROCRYPT2000, Bruges, Belgium, Springer, Heidelberg, 14-18 May 2000, pp. 507-522.
    • (2000) Proceedings of Cryptology-EUROCRYPT2000 , pp. 507-522
    • Canteaut, A.1    Carlet, C.2    Charpin, P.3    Fontaine, C.4
  • 3
    • 84937394144 scopus 로고    scopus 로고
    • A larger class of cryptographic Boolean functions via a study of the Maiorana-Mcfarland constructions
    • Santa Barbara, CA, Springer, Heidelberg, 18-22 August
    • C. Carlet, A larger class of cryptographic Boolean functions via a study of the Maiorana-Mcfarland constructions, Proceedings of Cryptology-CRYPTO2002, Santa Barbara, CA, Springer, Heidelberg, 18-22 August 2002, pp. 549-564.
    • (2002) Proceedings of Cryptology-CRYPTO2002 , pp. 549-564
    • Carlet, C.1
  • 4
    • 1942539819 scopus 로고    scopus 로고
    • On the confusion and diffusion properties of Maiorana-McFarland's and extended Maiorana-McFarland's functions
    • C.Carlet, On the confusion and diffusion properties of Maiorana-McFarland's and extended Maiorana-McFarland's functions, J. Complex. 20 (2004), pp. 182-204. (Pubitemid 38521644)
    • (2004) Journal of Complexity , vol.20 , Issue.2-3 , pp. 182-204
    • Carlet, C.1
  • 5
    • 79952840577 scopus 로고    scopus 로고
    • Boolean functions for cryptography and error correcting codes
    • Y. Crama and P. Hammer, eds., Cambridge University Press, Cambridge
    • C. Carlet, Boolean functions for cryptography and error correcting codes, in Boolean Models and Methods in Mathematics, Computer Science, and Engineering, Y. Crama and P. Hammer, eds., Cambridge University Press, Cambridge, 2010, pp. 257-397. Available at http://www-rocq.inria.fr/codes/ Claude.Carlet/pubs.html.
    • (2010) Boolean Models and Methods in Mathematics, Computer Science, and Engineering , pp. 257-397
    • Carlet, C.1
  • 9
    • 0036649611 scopus 로고    scopus 로고
    • Further constructions of resilient Boolean functions with very high nonlinearity
    • S. Maitra and E. Pasalic, Further constructions of resilient Boolean functions with very high nonlinearity, Trans. Inform. Theory 48 (2002), pp. 1825-1834.
    • (2002) Trans. Inform. Theory , vol.48 , pp. 1825-1834
    • Maitra, S.1    Pasalic, E.2
  • 10
    • 0000392205 scopus 로고
    • Linear cryptanalysis method for des cipher
    • Lofthus Springer, Heidelberg, 23-27 May
    • M. Matsui, Linear cryptanalysis method for DES cipher, Proceedings of Cryptology-EUROCRYPT'93, Lofthus, Springer, Heidelberg, 23-27 May 1993, pp. 386-397.
    • (1993) Proceedings of Cryptology-EUROCRYPT'93 , pp. 386-397
    • Matsui, M.1
  • 11
    • 33947416944 scopus 로고    scopus 로고
    • Maiorana-McFarland class: Degree optimization and algebraic properties
    • DOI 10.1109/TIT.2006.881721
    • E. Pasalic, Maiorana-McFarland class: Degree optimization and algebraic properties, Trans. Inform. Theory 52 (2006), pp. 4581-4594. (Pubitemid 46445293)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.10 , pp. 4581-4594
    • Pasalic, E.1
  • 13
    • 84948968383 scopus 로고    scopus 로고
    • Construction of nonlinear Boolean functions with important cryptographic properties
    • Bruges, Springer, Heidelberg, 14-18 May
    • P. Sarkar and S. Maitra, Construction of nonlinear Boolean functions with important cryptographic properties, Proceedings of Advances in Cryptology-EUROCRYPT2000, Bruges, Springer, Heidelberg, 14-18 May 2000, pp. 485-506.
    • (2000) Proceedings of Advances in Cryptology-EUROCRYPT2000 , pp. 485-506
    • Sarkar, P.1    Maitra, S.2
  • 14
    • 84969396978 scopus 로고    scopus 로고
    • Nonlinearity bounds and constructions of resilient functions
    • Santa Barbara, CA, Springer, Heidelberg, 20-24 August
    • P. Sarkar and S. Maitra, Nonlinearity bounds and constructions of resilient functions, Proceedings of Cryptology-CRYPTO2000, Santa Barbara, CA, Springer, Heidelberg, 20-24 August 2000, pp. 515-532.
    • (2000) Proceedings of Cryptology-CRYPTO2000 , pp. 515-532
    • Sarkar, P.1    Maitra, S.2
  • 15
    • 0021489155 scopus 로고
    • Correlation-immunity of nonlinear combining functions for cryptographic applications
    • T. Siegenthaler, Correlation-immunity of nonlinear combining functions for cryptographic applications, Trans. Inform. Theory 30 (1984), pp. 776-780. (Pubitemid 15455494)
    • (1984) IEEE Transactions on Information Theory , vol.IT-30 , Issue.5 , pp. 776-780
    • Siegenthaler, T.1
  • 16
    • 84876692551 scopus 로고    scopus 로고
    • Construction of balanced Boolean functions with high nonlinearity and good autocorrelation properties
    • D. Tang, W.G. Zhang, and X. H. Tang, Construction of balanced Boolean functions with high nonlinearity and good autocorrelation properties, Cryptography ePrint Archive, Report 2010/362,2010. Available at http://eprint.iacr.org/.
    • Cryptography EPrint Archive, Report 2010/362,2010
    • Tang, D.1    Zhang, W.G.2    Tang, X.H.3
  • 17
    • 0024001951 scopus 로고
    • A spectral characterization of correlation-immune combining functions
    • G. Xiao and J.L. Massey, A spectral characterization of correlation-immune combining functions, Trans. Inform. Theory 34 (1988), pp. 569-571.
    • (1988) Trans. Inform. Theory , vol.34 , pp. 569-571
    • Xiao, G.1    Massey, J.L.2
  • 19
    • 77955618991 scopus 로고    scopus 로고
    • Constructions of almost optimal resilient Boolean functions on large even number of variables
    • W.G. Zhang and G.Z. Xiao, Constructions of almost optimal resilient Boolean functions on large even number of variables, Trans. Inform. Theory 55 (2009), pp. 5822-5831.
    • (2009) Trans. Inform. Theory , vol.55 , pp. 5822-5831
    • Zhang, W.G.1    Xiao, G.Z.2
  • 21
    • 79955474110 scopus 로고    scopus 로고
    • Construction of almost optimal resilient Boolean functions via concatenating Maiorana-McFarland functions
    • doi:10.1007/s11432-011-4230-y
    • W.G. Zhang and G.Z. Xiao, Construction of almost optimal resilient Boolean functions via concatenating Maiorana-McFarland functions, Sci. China Inf. Sci. 54 (2011), pp. 909-912, doi:10.1007/s11432-011-4230-y.
    • (2011) Sci. China Inf. Sci. , vol.54 , pp. 909-912
    • Zhang, W.G.1    Xiao, G.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.