메뉴 건너뛰기




Volumn , Issue , 2003, Pages 147-150

On the algebraic thickness and non-normality of Boolean functions

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN FUNCTIONS; CRYPTOGRAPHY; INFORMATION THEORY;

EID: 4544361342     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ITW.2003.1216716     Document Type: Conference Paper
Times cited : (6)

References (26)
  • 3
    • 84948963512 scopus 로고    scopus 로고
    • Improved fast correlation attacks using parity check equations of weight 4 and 5
    • Advances in Cryptology-EUROCRYPT2000 Springer-Verlag
    • A. Canteaut and M. Trabbia, " Improved fast correlation attacks using parity check equations of weight 4 and 5, " Advances in Cryptology-EUROCRYPT2000, number 1805 in Lecture Notes in Computer Science, pp. 573-588. Springer-Verlag, 2000.
    • (2000) Lecture Notes in Computer Science , Issue.1805 , pp. 573-588
    • Canteaut, A.1    Trabbia, M.2
  • 4
    • 84865472304 scopus 로고
    • Two new classes of bent functions
    • Advances in Cryptology-EUROCRYPT'93 Springer-Verlag
    • C. Carlet, " Two new classes of bent functions, " Advances in Cryptology-EUROCRYPT'93, number 765 in Lecture Notes in Computer Science, pp. 77-101. Springer-Verlag, 1994.
    • (1994) Lecture Notes in Computer Science , Issue.765 , pp. 77-101
    • Carlet, C.1
  • 6
    • 84939156647 scopus 로고    scopus 로고
    • On the degree, nonlinearity, algebraic thickness and nonnormality of Boolean functions, with developments on symmetric functions
    • Submitted to
    • C. Carlet, "On the degree, nonlinearity, algebraic thickness and nonnormality of Boolean functions, with developments on symmetric functions," Submitted to IEEE Transactions on Information Theory, 2003.
    • (2003) IEEE Transactions on Information Theory
    • Carlet, C.1
  • 7
    • 84948983734 scopus 로고
    • Construction of bent functions and balanced Boolean functions with high nonlinearity
    • Fast Software Encryption (Pmceedings of the 1994 Leuven Workshop on Cryptographic Algorithms) Springer-Verlag
    • H. Dobbertin, " Construction of bent functions and balanced Boolean functions with high nonlinearity, " Fast Software Encryption (Pmceedings of the 1994 Leuven Workshop on Cryptographic Algorithms), Lecture Notes in Computer Science 1008, Springer Verlag, pp. 61-74, 1995.
    • (1995) Lecture Notes in Computer Science , vol.1008 , pp. 61-74
    • Dobbertin, H.1
  • 9
    • 84977806870 scopus 로고
    • Linear structures in block ciphers
    • Advances in Cryptobgy, EUROCRYPT' 87 Springer-Verlag
    • J. H. Evertse, " Linear structures in block ciphers," Advances in Cryptobgy, EUROCRYPT' 87, Lecture Notes in Computer Science 304, pp. 249-266, Springer Verlag, 1988.
    • (1988) Lecture Notes in Computer Science , vol.304 , pp. 249-266
    • Evertse, J.H.1
  • 10
    • 84948949623 scopus 로고
    • Truncated and higher order differentials
    • Fast Software Encryption. Second International Workshop Springer-Verlag
    • L.R. Knudsen, " Truncated and higher order differentials, " Fast Software Encryption. Second International Workshop, Lecture Notes in Computer Science, n 1008. pp. 196-211.-Springer-Verlag, 1995.
    • (1995) Lecture Notes in Computer Science , vol.1008 , pp. 196-211
    • Knudsen, L.R.1
  • 11
    • 0041863249 scopus 로고
    • Higher order derivatives and differential cryptanalysis
    • honor of J. L. Massey on the occasion of his 60% birthday.
    • X. Lai, " Higher order derivatives and differential cryptanalysis, " Pmc. "Symposium on Communication, Coding and Cryptography, in honor of J. L. Massey on the occasion of his 60% birthday. 1994.
    • (1994) Pro. "symposium on Communication, Coding and Cryptography
    • Lai, X.1
  • 12
    • 4544333108 scopus 로고
    • On circuits of functional elements with delay
    • O.B. Lupanov, " On circuits of functional elements with delay, " Pmbl. Kibern. 23, pp. 43-81 (1970).
    • (1970) Pmbl. Kibern. , vol.23 , pp. 43-81
    • Lupanov, O.B.1
  • 14
    • 84937740421 scopus 로고
    • Shift-register synthesis and BCH decoding
    • J.L. Massey, " Shift-register synthesis and BCH decoding, " ZEEE Transactions on Information Theory, vol. 15, pp. 122-127, 1969.
    • (1969) ZEEE Transactions on Information Theory , vol.15 , pp. 122-127
    • Massey, J.L.1
  • 15
    • 85025704284 scopus 로고
    • Linear cryptanalysis method for des cipher
    • Advances in Cryptology-EUROCRYPT'93 Springer-Verlag
    • M. Matsui, " Linear cryptanalysis method for DES cipher, " Advances in Cryptology-EUROCRYPT'93, number 765 in Lecture Notes in Computer Science. Springer-Verlag, 1994.
    • (1994) Lecture Notes in Computer Science , Issue.765
    • Matsui, M.1
  • 16
    • 84962928435 scopus 로고
    • Nonlinearity Criteria for Cryptographic Functions
    • Advances in Cryptology, EUROCRYPT' 89 Springer-Verlag
    • W. Meier and 0. Staffelbach, " Nonlinearity Criteria for Cryptographic Functions," Advances in Cryptology, EUROCRYPT' 89, Lecture Notes in Computer Science 434, pp. 549-562, Springer Verlag (1990)
    • (1990) Lecture Notes in Computer Science , vol.434 , pp. 549-562
    • Meier, W.1    Staffelbach, O.2
  • 18
    • 0036713330 scopus 로고    scopus 로고
    • Maximum nonlinearity of symmetric Boolean functions on odd number of variables
    • S. Maitra and P. Sarkar, " Maximum nonlinearity of symmetric Boolean functions on odd number of variables, " IEEE Transactions on Infomtion Theory, vol. 48, pp. 2626-2630,2002.
    • (2002) IEEE Transactions on Infomtion Theory , vol.48 , pp. 2626-2630
    • Maitra, S.1    Sarkar, P.2
  • 19
    • 4544238652 scopus 로고    scopus 로고
    • On cryptographic properties of random Boolean functions
    • D. Olejfir and M. Stanek, " On cryptographic properties of random Boolean functions, " Journal of Universal Computer Science, vol. 4, No.8, pp. 705-717, 1998.
    • (1998) Journal of Universal Computer Science , vol.4 , Issue.8 , pp. 705-717
    • Olejfir, D.1    Stanek, M.2
  • 20
    • 47849098280 scopus 로고
    • On bent functions
    • O. S. Rothaus, " On bent functions," J. Comb. Theory, 20A, pp. 300-305,1976.
    • (1976) J. Comb. Theory , vol.20 A , pp. 300-305
    • Rothaus, O.S.1
  • 21
    • 37749041414 scopus 로고
    • On the bent Boolean functions that are symmetric
    • P. Savicb, " On the bent Boolean functions that are symmetric, " Eur: J. Combinatorics 15,407-410 (1994).
    • (1994) Eur: J. Combinatorics , vol.15 , pp. 407-410
    • Savicb, P.1
  • 22
    • 84940644968 scopus 로고
    • A mathematical theory of communication
    • C.E. Shannon, " A mathematical theory of communication, " Bell system technical journal, 27, pp. 379-423, 1948.
    • (1948) Bell System Technical Journal , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 23
    • 84890522850 scopus 로고
    • Communication theory of secrecy systems
    • C.E. Shannon, " Communication theory of secrecy systems, " Bell system technical journal, 28, pp. 656715, 1949.
    • (1949) Bell System Technical Journal , vol.28 , pp. 656715
    • Shannon, C.E.1
  • 24
    • 84938487169 scopus 로고
    • The synthesis of two-terminal switching circuits
    • C.E. Shannon, " The synthesis of two-terminal switching circuits, " Bell system technical joumal, 28, pp. 59-98, 1949.
    • (1949) Bell System Technical Joumal , vol.28 , pp. 59-98
    • Shannon, C.E.1
  • 26
    • 0004905418 scopus 로고    scopus 로고
    • Restriction, terms and nonlinearity of Boolean functions
    • Y. Zheng, X.-M. Zhang and H. Imai, "Restriction, terms and nonlinearity of Boolean functions, " Theoretical Computer Science, 226(1-2), pp. 207-223.1999.
    • (1999) Theoretical Computer Science , vol.226 , Issue.1-2 , pp. 207-223
    • Zheng, Y.1    Zhang, X.-M.2    Imai, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.