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  • 1
    Electronic Resource
    Electronic Resource
    Characterizing the Structures of Cryptographic Functions Satisfying the Propagation Criterion for Almost All Vectors (1996)
    Springer
    Designs, codes and cryptography 7 (1996), S. 111-134 
    Details
    ISSN: 1573-7586
    Keywords: Authentication ; boolean functions ; cryptography ; nonlinearity ; propagation criterion ; data security
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Many practical information authentication techniques are based on such cryptographic means as data encryption algorithms and one-way hash functions. A core component of such algorithms and functions are nonlinear functions. In this paper, we reveal a relationship between nonlinearity and propagation characteristic, two critical indicators of the cryptographic strength of a Boolean function. We also investigate the structures of functions that satisfy the propagation criterion with respect to all but six or less vectors. We show that these functions have close relationships with bent functions, and can be easily constructed from the latter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018009032032
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Characterizing the structures of cryptographic functions satisfying the propagation criterion for almost all vectors (1996)
    Springer
    Designs, codes and cryptography 7 (1996), S. 111-134 
    Details
    ISSN: 1573-7586
    Keywords: Authentication ; boolean functions ; cryptography ; nonlinearity ; propagation criterion ; data security
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Many practical information authentication techniques are based on such cryptographic means as data encryption algorithms and one-way hash functions. A core component of such algorithms and functions are nonlinear functions. In this paper, we reveal a relationship between nonlinearity and propagation characteristic, two critical indicators of the cryptographic strength of a Boolean function. We also investigate the structures of functions that satisfy the propagation criterion with respect to all but six or less vectors. We show that these functions have close relationships with bent functions, and can be easily constructed from the latter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00125079
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Relating Differential Distribution Tables to Other Properties of of Substitution Boxes (2000)
    Springer
    Designs, codes and cryptography 19 (2000), S. 45-63 
    Details
    ISSN: 1573-7586
    Keywords: Boolean Functions ; cryptography ; differential attack ; linear attack ; nonlinearity ; S-boxes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Due to the success of differential and linear attacks on a large number of encryption algorithms, it is important to investigate relationships among various cryptographic, including differential and linear, characteristics of an S-box (substitution box). After discussing a precise relationship among three tables, namely the difference, auto-correlation and correlation immunity distribution tables, of an S-box, we develop a number of results on various properties of S-boxes. More specifically, we show (1) close connections among three indicators of S-boxes, (2) a tight lower bound on the sum of elements in the leftmost column of its differential distribution table, (3) a non-trivial and tight lower bound on the differential uniformity of an S-box, and (4) two upper bounds on the nonlinearity of S-boxes (one for a general, not necessarily regular, S-box and the other for a regular S-box).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008359713877
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    Paper (German National Licenses)
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