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Volumn 2442, Issue , 2002, Pages 549-564

A larger class of cryptographic boolean functions via a study of the maiorana-McFarland construction

Author keywords

Nonlinearity; Resilient functions; Stream ciphers

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

EID: 84937394144     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45708-9_35     Document Type: Conference Paper
Times cited : (95)

References (31)
  • 3
    • 84948963512 scopus 로고    scopus 로고
    • Improved fast correlation attacks using parity-check equations of weight 4 and 5
    • A. Canteaut and M. Trabbia. “Improved fast correlation attacks using parity-check equations of weight 4 and 5”, Advanced in Cryptology-EUROCRYPT 2000. Lecture notes in computer science 1807, pp. 573-588 (2000).
    • (2000) Advanced in Cryptology-Eurocrypt 2000 , vol.1807 , pp. 573-588
    • Canteaut, A.1    Trabbia, M.2
  • 4
    • 84947231897 scopus 로고    scopus 로고
    • Degree of Composition of Highly Nonlinear Functions and Applications to Higher Order Differential Cryptanalysis
    • Springer Verlag
    • A. Canteaut and M. Videau. “Degree of Composition of Highly Nonlinear Functions and Applications to Higher Order Differential Cryptanalysis”, Advances in Cryptology, EUROCRYPT2002, Lecture Notes in Computer Science 2332, Springer Verlag, pp. 518-533 (2002)
    • (2002) Advances in Cryptology, EUROCRYPT2002 , vol.2332 , pp. 518-533
    • Canteaut, A.1    Videau, M.2
  • 5
    • 0002251636 scopus 로고
    • Partially-bent functions
    • andAdvances in Cryptology-CRYPTO’92Lecture Notes in Computer Science 740, pp. 280-291 (1993)
    • C. Carlet. “Partially-bent functions”, Designs Codes and Cryptography, 3, pp. 135- 145 (1993) and Advances in Cryptology-CRYPTO’92 Lecture Notes in Computer Science 740, pp. 280-291 (1993).
    • (1993) Designs Codes and Cryptography , vol.3
    • Carlet, C.1
  • 6
    • 84957358188 scopus 로고    scopus 로고
    • More correlation-immune and resilient functions over Galois fields and Galois rings
    • Springer Verlag
    • C. Carlet. “More correlation-immune and resilient functions over Galois fields and Galois rings”. Advances in Cryptology, EUROCRYPT’ 97, Lecture Notes in Computer Science 1233, Springer Verlag, pp. 422-433 (1997).
    • (1997) Advances in Cryptology, EUROCRYPT’ 97 , vol.1233 , pp. 422-433
    • Carlet, C.1
  • 7
    • 0009963317 scopus 로고    scopus 로고
    • On the coset weight divisibility and nonlinearity of resilient and correlation-immune functions
    • Springer
    • C. Carlet. “On the coset weight divisibility and nonlinearity of resilient and correlation-immune functions”, Proceedings of SETA’01 (Sequences and their Applications 2001), Discrete Mathematics and Theoretical Computer Science, Springer, pp. 131-144 (2001).
    • (2001) Proceedings of SETA’01 , pp. 131-144
    • Carlet, C.1
  • 8
    • 0036160819 scopus 로고    scopus 로고
    • Spectral Domain Analysis of Correlation Immune and Resilient Boolean Functions
    • C. Carlet and P. Sarkar. “Spectral Domain Analysis of Correlation Immune and Resilient Boolean Functions”. Finite fields and Applications 8, pp. 120-130 (2002).
    • (2002) Finite Fields and Applications , vol.8 , pp. 120-130
    • Carlet, C.1    Sarkar, P.2
  • 9
    • 0031332525 scopus 로고    scopus 로고
    • Correlation immune functions with controllable nonlinearity
    • S. Chee, S. Lee, K. Kim and D. Kim. “Correlation immune functions with controllable nonlinearity”. ETRI Journal, vol 19, no 4, pp. 389-401 (1997).
    • (1997) ETRI Journal , vol.19 , Issue.4 , pp. 389-401
    • Chee, S.1    Lee, S.2    Kim, K.3    Kim, D.4
  • 10
    • 84955576233 scopus 로고    scopus 로고
    • On the correlation immune functions and their nonlinearity
    • S. Chee, S. Lee, D. Lee and S. H. Sung. “On the correlation immune functions and their nonlinearity” proceedings of Asiacrypt’96, LNCS 1163, pp. 232-243 (1997).
    • (1997) Proceedings of Asiacrypt’96 , vol.1163 , pp. 232-243
    • Chee, S.1    Lee, S.2    Lee, D.3    Sung, S.H.4
  • 11
    • 1942544421 scopus 로고    scopus 로고
    • On constructing balanced correlation immune functions
    • Springer
    • T. W. Cusick. “On constructing balanced correlation immune functions”. Proceedings of SETA’98 (Sequences and their Applications 1998), Discrete Mathematics and Theoretical Computer Science, Springer, pp. 184-190 (1999).
    • (1999) Proceedings of SETA’98 , pp. 184-190
    • Cusick, T.W.1
  • 13
    • 84948983734 scopus 로고
    • Construction of bent functions and balanced Boolean functions with high nonlinearity
    • H. Dobbertin, “ Construction of bent functions and balanced Boolean functions with high nonlinearity”, Fast Software Encryption (Proceedings of the 1994 Leuven Workshop on Cryptographic Algorithms), Lecture Notes in Computer Science 1008, pp. 61-74 (1995).
    • (1995) Fast Software Encryption , vol.1008 , pp. 61-74
    • Dobbertin, H.1
  • 15
    • 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. Inform. Theory, Vol. 48, pp. 278-284, 2002.
    • (2002) IEEE Trans. Inform. Theory , vol.48 , pp. 278-284
    • Maitra, S.1    Sarkar, P.2
  • 16
    • 84962928435 scopus 로고
    • Nonlinearity Criteria for Cryptographic Functions
    • Springer Verlag
    • W. Meier and O. Staffelbach. “Nonlinearity Criteria for Cryptographic Functions”, Advances in Cryptology, EUROCRYPT’ 89, Lecture Notes in Computer Science 434, Springer Verlag, pp. 549-562 (1990).
    • (1990) Advances in Cryptology , vol.434 , pp. 549-562
    • Meier, W.1    Staffelbach, O.2
  • 17
    • 0020748803 scopus 로고
    • The covering radius of the [215, 16] Reed- Muller code is at least 16276
    • N.J. Patterson and D.H. Wiedemann. “The covering radius of the [215, 16] Reed- Muller code is at least 16276”. IEEE Trans. Inform. Theory, IT-29, pp. 354-356 (1983).
    • (1983) IEEE Trans. Inform. Theory , vol.IT-29 , pp. 354-356
    • Patterson, N.J.1    Wiedemann, D.H.2
  • 19
    • 0009995361 scopus 로고    scopus 로고
    • New constructions of resilient functions and correlation immune Boolean functions achieving upper bound on nonlinearity
    • E. Pasalic, S. Maitra, T. Johansson and P. Sarkar. “New constructions of resilient functions and correlation immune Boolean functions achieving upper bound on nonlinearity”. Proceedings of the Workshop on Coding and Cryptography 2001, pp. 425-434 (2001).
    • (2001) Proceedings of the Workshop on Coding and Cryptography , vol.2001 , pp. 425-434
    • Pasalic, E.1    Maitra, S.2    Johansson, T.3    Sarkar, P.4
  • 20
    • 47849098280 scopus 로고
    • On bent functions
    • O. S. Rothaus. “On bent functions”, J. Comb. Theory, 20A, 300-305 (1976).
    • (1976) J. Comb. Theory , vol.20A , pp. 300-305
    • Rothaus, O.S.1
  • 22
    • 84948968383 scopus 로고    scopus 로고
    • Construction of nonlinear Boolean functions with important cryptographic properties
    • Springer Verlag
    • P. Sarkar and S. Maitra. “Construction of nonlinear Boolean functions with important cryptographic properties”. Advances in Cryptology - EUROCRYPT 2000, number 1807 in Lecture Notes in Computer Science, Springer Verlag, pp. 485-506 (2000).
    • (2000) Advances in Cryptology - EUROCRYPT 2000 , pp. 485-506
    • Sarkar, P.1    Maitra, S.2
  • 23
    • 84969396978 scopus 로고    scopus 로고
    • Nonlinearity Bounds and Constructions of Resilient Boolean Functions
    • ed. Mihir Bellare
    • P. Sarkar and S. Maitra. “Nonlinearity Bounds and Constructions of Resilient Boolean Functions”. CRYPTO 2000, LNCS Vol. 1880, ed. Mihir Bellare, pp. 515-532 (2000).
    • (2000) CRYPTO 2000, LNCS , vol.1880 , pp. 515-532
    • Sarkar, P.1    Maitra, S.2
  • 24
    • 85007446434 scopus 로고
    • On constructions and nonlinearity of correlation immune Boolean functions
    • J. Seberry, X.M. Zhang and Y. Zheng. “On constructions and nonlinearity of correlation immune Boolean functions.” Advances in Cryptology - EUROCRYPT’93, LNCS 765, pp. 181-199 (1994).
    • (1994) Advances in Cryptology - EUROCRYPT’93 , vol.765 , pp. 181-199
    • Seberry, J.1    Zhang, X.M.2    Zheng, Y.3
  • 25
    • 84961389779 scopus 로고
    • Nonlinearly balanced Boolean functions and their propagation characteristics
    • J. Seberry, X.M. Zhang and Y. Zheng. “Nonlinearly balanced Boolean functions and their propagation characteristics.” Advances in Cryptology - CRYPTO’93, pp. 49-60 (1994).
    • (1994) Advances in Cryptology - CRYPTO’93 , pp. 49-60
    • Seberry, J.1    Zhang, X.M.2    Zheng, Y.3
  • 26
    • 0021489155 scopus 로고
    • Correlation-immunity of nonlinear combining functions for cryptographic applications
    • T. Siegenthaler. “Correlation-immunity of nonlinear combining functions for cryptographic applications”. IEEE Transactions on Information theory, V. IT-30, No 5, pp. 776-780 (1984).
    • (1984) IEEE Transactions on Information Theory , vol.IT-30 , Issue.5 , pp. 776-780
    • Siegenthaler, T.1
  • 27
    • 0021786321 scopus 로고
    • Decrypting a Class of Stream Ciphers Using Ciphertext Only
    • T. Siegenthaler. “Decrypting a Class of Stream Ciphers Using Ciphertext Only”. IEEE Transactions on Computer, V. C-34, No 1, pp. 81-85 (1985).
    • (1985) IEEE Transactions on Computer, V , vol.C-34 , Issue.1 , pp. 81-85
    • Siegenthaler, T.1
  • 28
    • 84947755706 scopus 로고    scopus 로고
    • On resilient Boolean functions with maximum possible nonlinearity
    • Y. V. Tarannikov. “On resilient Boolean functions with maximum possible nonlinearity”. Proceedings of INDOCRYPT 2000, Lecture Notes in Computer Science 1977, pp. 19-30 (2000).
    • (2000) Proceedings of INDOCRYPT 2000 , vol.1977 , pp. 19-30
    • Tarannikov, Y.V.1
  • 29
    • 84958968845 scopus 로고    scopus 로고
    • New constructions of resilient Boolean functions with maximum nonlinearity
    • Y. V. Tarannikov. “New constructions of resilient Boolean functions with maximum nonlinearity”. Proceedings of FSE 2001, to appear in the Lecture Notes in Computer Science Series (2002).
    • (2002) Proceedings of FSE 2001
    • Tarannikov, Y.V.1
  • 30
    • 0024001951 scopus 로고
    • A Spectral Characterization of Correlation-Immune Combining Functions
    • Xiao Guo-Zhen and J. L. Massey. “A Spectral Characterization of Correlation-Immune Combining Functions”. IEEE Trans. Inf. Theory, Vol IT 34, n◦ 3, pp. 569-571 (1988).
    • (1988) IEEE Trans. Inf. Theory , vol.34 , Issue.3 , pp. 569-571
    • Guo-Zhen, X.1    Massey, J.L.2
  • 31
    • 84949214198 scopus 로고    scopus 로고
    • Improved upper bound on the nonlinearity of high order correlation immune functions
    • Y. Zheng, X.-M. Zhang. “Improved upper bound on the nonlinearity of high order correlation immune functions”. Proceedings of Selected Areas in Cryptography 2000, Lecture Notes in Computer Science 2012, pp. 262-274 (2001)
    • (2001) Proceedings of Selected Areas in Cryptography 2000 , vol.2012 , pp. 262-274
    • Zheng, Y.1    Zhang, X.-M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.