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Volumn 2727 LNCS, Issue , 2003, Pages 498-509

New constructions for resilient and highly nonlinear Boolean functions

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC DEGREES; BOOLEAN VARIABLES; DIRECT SUMS; GEOMETRIC SEQUENCES; HADAMARD TRANSFORMS; HIGH NONLINEARITIES; HIGH THROUGHPUTS; HIGHLY NONLINEAR; LINEAR FUNCTIONS; LINEAR SPANS; MAXIMUM CORRELATIONS; NEW CONSTRUCTIONS; NON LINEARITIES; RESILIENT FUNCTIONS; STREAM CIPHER SYSTEMS; STREAM CIPHERS; VECTORIAL BOOLEAN FUNCTIONS; CRYPTOGRAPHIC BOOLEAN FUNCTIONS; GEOMETRIC SEQUENCE; RESILIENT FUNCTION; VECTORIAL BOOLEAN FUNCTION;

EID: 30744445840     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45067-X_43     Document Type: Conference Paper
Times cited : (13)

References (25)
  • 1
    • 77954757533 scopus 로고    scopus 로고
    • A. Canteaut, C. Carlet, P. Charpin and C. Fontaine, 'Propagation Characteristics and Correlation-Immunity of Highly Nonlinear Boolean Functions, LNCS 1807, Eurocrypt'2000, pp. 507-522, Springer-Verlag, 2000.
    • A. Canteaut, C. Carlet, P. Charpin and C. Fontaine, 'Propagation Characteristics and Correlation-Immunity of Highly Nonlinear Boolean Functions", LNCS 1807, Eurocrypt'2000, pp. 507-522, Springer-Verlag, 2000.
  • 2
    • 0033882818 scopus 로고    scopus 로고
    • Binary m-sequences with three-valued cross correlation: A proof of Welch's conjecture
    • A. Canteaut, P. Charpin and H. Dobbertin, "Binary m-sequences with three-valued cross correlation: a proof of Welch's conjecture", IEEE Trans. Inform. Theory, vol. 46 no. 1, pp. 4-8, 2000.
    • (2000) IEEE Trans. Inform. Theory , vol.46 , Issue.1 , pp. 4-8
    • Canteaut, A.1    Charpin, P.2    Dobbertin, H.3
  • 3
    • 84937394144 scopus 로고    scopus 로고
    • C. Carlet, A Larger Class of Cryptographic Boolean Functions via a Study of the Maiorana-McFarland Construction, LNCS 2442, Crypto'2002, pp. 549-564, Springer-Verlag, 2002.
    • C. Carlet, "A Larger Class of Cryptographic Boolean Functions via a Study of the Maiorana-McFarland Construction", LNCS 2442, Crypto'2002, pp. 549-564, Springer-Verlag, 2002.
  • 4
    • 84948983734 scopus 로고    scopus 로고
    • H. Dobbertin, Construction of Bent Functions and Balanced Boolean Functions with High Nonlinearity, LNCS 1008, Fast Software Encryption, pp. 61-74, Springer Verlag, 1994.
    • H. Dobbertin, "Construction of Bent Functions and Balanced Boolean Functions with High Nonlinearity", LNCS 1008, Fast Software Encryption, pp. 61-74, Springer Verlag, 1994.
  • 5
    • 0029770924 scopus 로고    scopus 로고
    • Q-ary Cascaded GMW Sequences
    • Jan
    • G. Gong, "Q-ary Cascaded GMW Sequences", IEEE Trans. Inform. Theory, vol.42 no.1, pp. 263-267, Jan 1996.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , Issue.1 , pp. 263-267
    • Gong, G.1
  • 6
    • 0036845302 scopus 로고    scopus 로고
    • Cryptographic Properties of the Welch-Gong Transformation Sequence Generators
    • Nov
    • G. Gong and A.M. Youssef, "Cryptographic Properties of the Welch-Gong Transformation Sequence Generators", IEEE Trans. Inform. Theory, vol.48 no.11, pp. 2837-2846, Nov 2002.
    • (2002) IEEE Trans. Inform. Theory , vol.48 , Issue.11 , pp. 2837-2846
    • Gong, G.1    Youssef, A.M.2
  • 7
    • 84947929289 scopus 로고    scopus 로고
    • The Interpolation Attack on Block Ciphers, LNCS 1267
    • T. Jacobsen, L. Knudsen, "The Interpolation Attack on Block Ciphers", LNCS 1267, Fast Software Encryption, pp.28-40, 1997.
    • (1997) Fast Software Encryption , pp. 28-40
    • Jacobsen, T.1    Knudsen, L.2
  • 9
    • 84957365641 scopus 로고    scopus 로고
    • K. Kurosawa and T. Satoh, Design of SACj PC'(Z) of Order κ Boolean Functions and Three Other Cryptographic Poperties, pp. 434-449, LNCS 1233, Eurocrypt'97, Springer-Verlag, 1997.
    • K. Kurosawa and T. Satoh, "Design of SACj PC'(Z) of Order κ Boolean Functions and Three Other Cryptographic Poperties", pp. 434-449, LNCS 1233, Eurocrypt'97, Springer-Verlag, 1997.
  • 12
    • 85025704284 scopus 로고
    • Linear cryptanalysis method for DES cipher
    • M. Matsui, "Linear cryptanalysis method for DES cipher", LNCS 765, Eurocrypt'93, pp. 386-397, 1994.
    • (1994) Eurocrypt'93 , vol.LNCS 765 , pp. 386-397
    • Matsui, M.1
  • 14
    • 84957625510 scopus 로고    scopus 로고
    • Heuristic Design of Cryptographically Strong Balanced Boolean Functions
    • Springer-Verlag
    • W. Millan, A. Clark and E. Dawson, "Heuristic Design of Cryptographically Strong Balanced Boolean Functions", LNCS 1403, Eurocrypt'98, Springer-Verlag, 1998.
    • (1998) Eurocrypt'98 , vol.LNCS 1403
    • Millan, W.1    Clark, A.2    Dawson, E.3
  • 15
    • 84961295363 scopus 로고    scopus 로고
    • E. Pasalic and T. Johansson, Further Results on the Relationship between Non-linearity and Resiliency of Boolean Functions, LNCS, IMA Conference on Coding and Cryptography 1999, Springer Verlag, 1999.
    • E. Pasalic and T. Johansson, "Further Results on the Relationship between Non-linearity and Resiliency of Boolean Functions", LNCS, IMA Conference on Coding and Cryptography 1999, Springer Verlag, 1999.
  • 16
    • 0020748803 scopus 로고    scopus 로고
    • 15,16) Reed-Muller Code is at least 16276, IEEE Trans. Inform. Theory, 29 no. 3, pp. 354-356, May 1983.
    • 15,16) Reed-Muller Code is at least 16276", IEEE Trans. Inform. Theory, vol. 29 no. 3, pp. 354-356, May 1983.
  • 17
    • 63449120542 scopus 로고    scopus 로고
    • 15,16) Reed-Muller Code is at least 16276, IEEE Trans. Inform. Theory, 36 no. 2, pp. 443, Mar 1990.
    • 15,16) Reed-Muller Code is at least 16276", IEEE Trans. Inform. Theory, vol. 36 no. 2, pp. 443, Mar 1990.
  • 18
    • 84948968383 scopus 로고    scopus 로고
    • P. Sarkar and S. Maitra, Construction of Nonlinear Boolean Functions with Important Cryptographic Properties, LNCS 1807, Eurocrypt'2000, pp. 485-506,Springer-Verlag, 2000.
    • P. Sarkar and S. Maitra, "Construction of Nonlinear Boolean Functions with Important Cryptographic Properties", LNCS 1807, Eurocrypt'2000, pp. 485-506,Springer-Verlag, 2000.
  • 19
    • 0036158533 scopus 로고    scopus 로고
    • Modifications of Patterson-Wiedemann Functions for Cryptographic Applications
    • S. Maitra and P. Sarkar, "Modifications of Patterson-Wiedemann Functions for Cryptographic Applications", IEEE Trans, on Inform. Theory, vol. 48, pp. 278-284, 2002.
    • (2002) IEEE Trans, on Inform. Theory , vol.48 , pp. 278-284
    • Maitra, S.1    Sarkar, P.2
  • 20
    • 84961389779 scopus 로고    scopus 로고
    • J. Seberry, X.M. Zhang, Y. Zheng, Nonlinearly Balanced Boolean Functions and their Propagation Characteristics, LNCS 773, Crypto'93, pp. 49-60, Springer-Verlag, 1993.
    • J. Seberry, X.M. Zhang, Y. Zheng, "Nonlinearly Balanced Boolean Functions and their Propagation Characteristics", LNCS 773, Crypto'93, pp. 49-60, Springer-Verlag, 1993.
  • 21
    • 84955559535 scopus 로고    scopus 로고
    • J. Seberry, X.M. Zhang and Y. Zheng, Structures of Cryptographic Functions with Strong Avalanche Characteristics, LNCS 917, Asiacrypt'94, pp. 119-132, Springer-Verlag, 1994.
    • J. Seberry, X.M. Zhang and Y. Zheng, "Structures of Cryptographic Functions with Strong Avalanche Characteristics", LNCS 917, Asiacrypt'94, pp. 119-132, Springer-Verlag, 1994.
  • 22
    • 0021786321 scopus 로고
    • Decrypting a Class of Stream Ciphers using Ciphertexts only
    • T. Siegenthaler, "Decrypting a Class of Stream Ciphers using Ciphertexts only", IEEE Trans. Computer, vol. C34 no. 1, pp. 81-85, 1985.
    • (1985) IEEE Trans. Computer , vol.C34 , Issue.1 , pp. 81-85
    • Siegenthaler, T.1
  • 23
    • 84983158418 scopus 로고    scopus 로고
    • M. Zhang and A. Chan, Maximum Correlation Analysis of Nonlinear S-boxes in Stream Ciphers, LNCS 1880, Crypto'2000, pp. 501-514, Springer-Verlag, 2000.
    • M. Zhang and A. Chan, "Maximum Correlation Analysis of Nonlinear S-boxes in Stream Ciphers", LNCS 1880, Crypto'2000, pp. 501-514, Springer-Verlag, 2000.
  • 24
    • 63449091088 scopus 로고    scopus 로고
    • Y. Zheng and X.M. Zhang, Relationships between Bent Functions and Complementary Plateaued Functions, LNCS 1787, ICISC'99, pp. 60-75, Springer-Verlag, 1999.
    • Y. Zheng and X.M. Zhang, "Relationships between Bent Functions and Complementary Plateaued Functions", LNCS 1787, ICISC'99, pp. 60-75, Springer-Verlag, 1999.
  • 25
    • 84937399833 scopus 로고    scopus 로고
    • Y. Zheng and X.M. Zhang, On Relationship among Avalanche, Nonlinearity and Correlation Immunity, LNCS 1976, Asiacrypt'2000, pp. 470-482, Springer-Verlag, 2000.
    • Y. Zheng and X.M. Zhang, "On Relationship among Avalanche, Nonlinearity and Correlation Immunity", LNCS 1976, Asiacrypt'2000, pp. 470-482, Springer-Verlag, 2000.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.