Characterization of Linear Structures

Designs, Codes, and Cryptography

Volumn 22, Issue 1, 2001, Pages 33-45

  Dubuc, Sylvie ^a  

^a UNIVERSITÉ DE CAEN   (France)

Author keywords

Boolean function; Fourier transform; Linear structure; Vectorial function

Indexed keywords

EID: 0346606739     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008399109102     Document Type: Article

References (11)

1. P. Camion, C. Carlet, P. Charpin and N. Sendrier. On correlation-immune functions, Advances in Cryptology, CRYPTO 91, Lecture Notes in Computer Sciences, Springer-Verlag, 576 (1992) pp. 86-100.
2. Claude Carlet, More correlation-immune and resilient functions, Advances in Cryptology, Proc. of Eurocrypt 97, Lecture Notes in Computer Science, Springer-Verlag, 1233 (1997) pp. 422-433.
3. J. F. Dillon, Elementary Hadamard Difference Sets, Ph. D. Thesis, Univ. of Maryland (1974).
4. J. H. Evertse, Linear structures in block ciphers, Advances in Cryptology, EUROCRYPT 87, Lecture Notes in Computer Science, Springer-Verlag, 304 (1988) pp. 249-266.
5. Xueja Lai, Additive and linear structures of cryptographic functions, Proc of Fast Software Encryption, Lecture Notes in Computer Science, 1008 (1995) pp. 75-85.
6. R. L. Lechner, Harmonic analysis of switching functions, Recent Developments in Switching Theory (A. Mukhopadhyay, ed.), Academic Press, New York and London (1971).
7. T. Siegenthaler, Decrypting a class of stream ciphers using ciphertext only, IEEE Trans. on computers Vol. 34, No. 1 (1985) pp. 81-84.
8. T. Siegenthaler, Cryptanalyst representation of nonlinearly filtered ML-sequences, Advances in Cryptology, EUROCRYPT 85, Lecture Notes in Computer Science, (1986) pp. 103-110.
9. Xiao Guo-Zhen and J. L. Massey, A spectral characterization of correlation-immune combining functions, IEEE Trans. Inf. Theory, Vol. 34, No. 3 (1988) pp. 569-571.
10. V. V. Yashchenko, On the propagation criterion for Boolean functions and bent functions, Problems of Information Transmission Vol. 33, No. 1(1997) pp. 62-71.
11. X. M. Zhang and Y. Zheng, GAC - the criterion for global avalanche characteristics of cryptographic functions, Journal of Universal Computer Science, Vol. 1, No. 5(1995) pp. 316-333.