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Volumn 4851 LNCS, Issue , 2007, Pages 321-329

Generalized rotation symmetric and dihedral symmetric boolean functions - 9 Variable boolean functions with nonlinearity 242

Author keywords

Dihedral symmetric boolean functions; Nonlinearity; Rotation symmetric boolean functions

Indexed keywords

CODES (SYMBOLS); CONTROL NONLINEARITIES; NUMERICAL METHODS;

EID: 38349058097     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-77224-8_37     Document Type: Conference Paper
Times cited : (29)

References (30)
  • 1
    • 0015288079 scopus 로고
    • Weight Distributions of the Dosets of the (32, 6) Reed-Muller code
    • Berlekamp, E.R., Welch, L.R.: Weight Distributions of the Dosets of the (32, 6) Reed-Muller code. IEEE Trans. Inform. Theory 18(1), 203-207 (1972)
    • (1972) IEEE Trans. Inform. Theory , vol.18 , Issue.1 , pp. 203-207
    • Berlekamp, E.R.1    Welch, L.R.2
  • 2
    • 38249012186 scopus 로고
    • Orphan Structure of the First Order Reed-Muller Codes
    • Brualdi, R.A., Cai, N., Pless, V.: Orphan Structure of the First Order Reed-Muller Codes. Discrete Mathematics 102, 239-247 (1992)
    • (1992) Discrete Mathematics , vol.102 , pp. 239-247
    • Brualdi, R.A.1    Cai, N.2    Pless, V.3
  • 3
    • 0025404386 scopus 로고
    • Orphans of the First Order Reed-Muller Codes
    • Brualdi, R.A., Pless, V.S.: Orphans of the First Order Reed-Muller Codes. IEEE Trans. Inform. Theory 36(2), 399-401 (1990)
    • (1990) IEEE Trans. Inform. Theory , vol.36 , Issue.2 , pp. 399-401
    • Brualdi, R.A.1    Pless, V.S.2
  • 4
    • 4344630715 scopus 로고    scopus 로고
    • Almost Boolean Functions: The Design of Boolean Functions by Spectral Inversion
    • Clark, J., Jacob, J., Maitra, S., Stanica, P.: Almost Boolean Functions: The Design of Boolean Functions by Spectral Inversion. Computational Intelligence 20(3), 450-462 (2004)
    • (2004) Computational Intelligence , vol.20 , Issue.3 , pp. 450-462
    • Clark, J.1    Jacob, J.2    Maitra, S.3    Stanica, P.4
  • 5
    • 0037032959 scopus 로고    scopus 로고
    • Fast Evaluation, Weights and Nonlinearity of RotationSymmetric Functions
    • Cusick, T.W., Stanica, P.: Fast Evaluation, Weights and Nonlinearity of RotationSymmetric Functions. Discrete Mathematics 258, 289-301 (2002)
    • (2002) Discrete Mathematics , vol.258 , pp. 289-301
    • Cusick, T.W.1    Stanica, P.2
  • 6
    • 35048830936 scopus 로고    scopus 로고
    • Results on Algebraic Immunity for Cryptographically Significant Boolean Functions
    • Canteaut, A, Viswanathan, K, eds, INDOCRYPT 2004, Springer, Heidelberg
    • Dalai, D.K., Gupta, K.C., Maitra, S.: Results on Algebraic Immunity for Cryptographically Significant Boolean Functions. In: Canteaut, A., Viswanathan, K. (eds.) INDOCRYPT 2004. LNCS, vol. 3348, pp. 92-106. Springer, Heidelberg (2004)
    • (2004) LNCS , vol.3348 , pp. 92-106
    • Dalai, D.K.1    Gupta, K.C.2    Maitra, S.3
  • 8
    • 84957676126 scopus 로고    scopus 로고
    • Highly nonlinear balanced Boolean Functions with a good Correlation-Immunity
    • Nyberg, K, ed, EUROCRYPT 1998, Springer, Heidelberg
    • Filiol, E., Fontaine, C.: Highly nonlinear balanced Boolean Functions with a good Correlation-Immunity. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 475-488. Springer, Heidelberg (1998)
    • (1998) LNCS , vol.1403 , pp. 475-488
    • Filiol, E.1    Fontaine, C.2
  • 9
    • 0032643194 scopus 로고    scopus 로고
    • On Some Cosets of the First-Order Reed-Muller Code With High Minimum Weight
    • Fontaine, C.: On Some Cosets of the First-Order Reed-Muller Code With High Minimum Weight. IEEE Trans. Inform. Theory 45(4), 1237-1243 (1999)
    • (1999) IEEE Trans. Inform. Theory , vol.45 , Issue.4 , pp. 1237-1243
    • Fontaine, C.1
  • 10
    • 0003780715 scopus 로고
    • Addison-Wesley Publishing Company, Reading
    • Harary, F.: Graph Theory. Addison-Wesley Publishing Company, Reading (1972)
    • (1972) Graph Theory
    • Harary, F.1
  • 11
    • 38349041088 scopus 로고    scopus 로고
    • On Efficient Implementation of Search Strategy For Rotation Symmetric Boolean Functions
    • Bulgaria
    • Hell, M., Maximov, A., Maitra, S.: On Efficient Implementation of Search Strategy For Rotation Symmetric Boolean Functions. In: ACCT 2004, Black Sea Coast, Bulgaria (2004)
    • (2004) ACCT 2004, Black Sea Coast
    • Hell, M.1    Maximov, A.2    Maitra, S.3
  • 12
    • 3643119397 scopus 로고
    • On the Cosets of the Simplex Code
    • Helleseth, T., Mattson Jr., H.F.: On the Cosets of the Simplex Code. Discrete Math. 56, 169-189 (1985)
    • (1985) Discrete Math , vol.56 , pp. 169-189
    • Helleseth, T.1    Mattson Jr., H.F.2
  • 13
    • 0031139263 scopus 로고    scopus 로고
    • On the Norm and Covering Radius of the First Order Reed-Muller codes
    • Hou, X.-d.: On the Norm and Covering Radius of the First Order Reed-Muller codes. IEEE Trans. Inform. Theory 43(3), 1025-1027 (1997)
    • (1997) IEEE Trans. Inform. Theory , vol.43 , Issue.3 , pp. 1025-1027
    • Hou, X.-D.1
  • 14
    • 34248586580 scopus 로고    scopus 로고
    • Kavut, S., Maitra, S., Sarkar, S., Yücel, M.D.: Enumeration of 9-variable Rotation Symmetric Boolean Functions having Nonlinearity > 240. In: Barua, R., Lange, T. (eds.) INDOCRYPT 2006. LNCS, 4329, pp. 266-279. Springer, Heidelberg (2006)
    • Kavut, S., Maitra, S., Sarkar, S., Yücel, M.D.: Enumeration of 9-variable Rotation Symmetric Boolean Functions having Nonlinearity > 240. In: Barua, R., Lange, T. (eds.) INDOCRYPT 2006. LNCS, vol. 4329, pp. 266-279. Springer, Heidelberg (2006)
  • 15
    • 34248587014 scopus 로고    scopus 로고
    • Search for Boolean Functions with Excellent Profiles in the Rotation Symmetric Class
    • Kavut, S., Maitra, S., Yücel, M.D.: Search for Boolean Functions with Excellent Profiles in the Rotation Symmetric Class. IEEE Trans. Inform. Theory 53(5), 1743-1751 (2007)
    • (2007) IEEE Trans. Inform. Theory , vol.53 , Issue.5 , pp. 1743-1751
    • Kavut, S.1    Maitra, S.2    Yücel, M.D.3
  • 17
    • 34248551219 scopus 로고    scopus 로고
    • A New Algorithm for the Design of Strong Boolean Functions
    • METU, Ankara, Turkey, pp
    • Kavut, S., Yücel, M.D.: A New Algorithm for the Design of Strong Boolean Functions. In: First National Cryptology Symposium, METU, Ankara, Turkey, pp. 95-105 (2005)
    • (2005) First National Cryptology Symposium , pp. 95-105
    • Kavut, S.1    Yücel, M.D.2
  • 18
    • 33749929694 scopus 로고    scopus 로고
    • Langevin, P.: On the Orphans and Covering Radius of the Reed-Muller Codes. In: Mattson, H.F., Rao, T.R.N., Mora, T. (eds.) AAECC-9. LNCS, 539, pp. 234-240. Springer, Heidelberg (1991)
    • Langevin, P.: On the Orphans and Covering Radius of the Reed-Muller Codes. In: Mattson, H.F., Rao, T.R.N., Mora, T. (eds.) AAECC-9. LNCS, vol. 539, pp. 234-240. Springer, Heidelberg (1991)
  • 20
    • 84856100664 scopus 로고    scopus 로고
    • On Dihedral Group Invariant Boolean Functions
    • University of Rouen, France
    • Maitra, S., Sarkar, S., Dalai, D.K.: On Dihedral Group Invariant Boolean Functions. In: BFCA 2007, University of Rouen, France (2007)
    • (2007) BFCA
    • Maitra, S.1    Sarkar, S.2    Dalai, D.K.3
  • 21
    • 38349040696 scopus 로고    scopus 로고
    • Maximov, A.: Classes of Plateaued Rotation Symmetric Boolean functions under Transformation of Walsh Spectra. In: Ytrehus, Ø. (ed.) WCC 2005. LNCS, 3969, pp. 325-334. Springer, Heidelberg (2006)
    • Maximov, A.: Classes of Plateaued Rotation Symmetric Boolean functions under Transformation of Walsh Spectra. In: Ytrehus, Ø. (ed.) WCC 2005. LNCS, vol. 3969, pp. 325-334. Springer, Heidelberg (2006)
  • 22
    • 33746922201 scopus 로고    scopus 로고
    • Plateaued Rotation Symmetric Boolean Functions on Odd Number of Variables
    • University of Rouen, France
    • Maximov, A., Hell, M., Maitra, S.: Plateaued Rotation Symmetric Boolean Functions on Odd Number of Variables. In: BFCA 2005, University of Rouen, France (2005)
    • (2005) BFCA
    • Maximov, A.1    Hell, M.2    Maitra, S.3
  • 23
    • 0019014386 scopus 로고
    • The Covering Radius of the (128, 8) Reed-Muller Code is 56
    • Mykkeltveit, J.J.: The Covering Radius of the (128, 8) Reed-Muller Code is 56. IEEE Trans. Inform. Theory 26(3), 359-362 (1980)
    • (1980) IEEE Trans. Inform. Theory , vol.26 , Issue.3 , pp. 359-362
    • Mykkeltveit, J.J.1
  • 24
    • 0020748803 scopus 로고    scopus 로고
    • 15, 16) ReedMuller code is At Least 16276. IEEE Trans. Inform. Theory 29(3), 354-356 (1983)
    • 15, 16) ReedMuller code is At Least 16276. IEEE Trans. Inform. Theory 29(3), 354-356 (1983)
  • 25
    • 0242405217 scopus 로고    scopus 로고
    • Fast Hashing and Rotation-Symmetric Functions
    • Pieprzyk, J., Qu, C.X.: Fast Hashing and Rotation-Symmetric Functions. J. Universal Computer Science 5, 20-31 (1999)
    • (1999) J. Universal Computer Science , vol.5 , pp. 20-31
    • Pieprzyk, J.1    Qu, C.X.2
  • 26
    • 38349067066 scopus 로고    scopus 로고
    • Roberts, F.S, Applied Combinatorics. Prentice-Hall, Inc, Englewood Ciffs, New Jersey
    • Roberts, F.S.: Applied Combinatorics. Prentice-Hall, Inc., Englewood Ciffs, New Jersey
  • 28
    • 34247167261 scopus 로고    scopus 로고
    • Rotation Symmetric Boolean Functions - Count and Cryptographic Properties
    • R. C Bose Centenary Symposium on Discrete Mathematics and Applications, Elsevier, Amsterdam
    • Stanica, P., Maitra, S.: Rotation Symmetric Boolean Functions - Count and Cryptographic Properties. In: R. C Bose Centenary Symposium on Discrete Mathematics and Applications. Electronic Notes in Discrete Mathematics, vol. 15, Elsevier, Amsterdam (2004)
    • (2004) Electronic Notes in Discrete Mathematics , vol.15
    • Stanica, P.1    Maitra, S.2
  • 29
    • 21144456779 scopus 로고    scopus 로고
    • Stanica, P., Maitra, S., Clark, J.: Results on Rotation Symmetric Bent and Correlation Immune Boolean Functions. In: Roy, B., Meier, W. (eds.) FSE 2004. LNCS, 3017, pp. 161-177. Springer, Heidelberg (2004)
    • Stanica, P., Maitra, S., Clark, J.: Results on Rotation Symmetric Bent and Correlation Immune Boolean Functions. In: Roy, B., Meier, W. (eds.) FSE 2004. LNCS, vol. 3017, pp. 161-177. Springer, Heidelberg (2004)
  • 30
    • 0000720010 scopus 로고
    • GAC - The Criterion for Global Avalanche Characteristics of Cryptographic Functions
    • Zhang, X.M., Zheng, Y.: GAC - The Criterion for Global Avalanche Characteristics of Cryptographic Functions. J. Universal Computer Science 1(5), 316-333 (1995)
    • (1995) J. Universal Computer Science , vol.1 , Issue.5 , pp. 316-333
    • Zhang, X.M.1    Zheng, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.