Cryptography

Download Cryptography and Coding: 7th IMA International Conference by Kenneth G. Paterson (auth.), Michael Walker (eds.) PDF

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By Kenneth G. Paterson (auth.), Michael Walker (eds.)

This booklet constitutes the refereed court cases of the seventh IMA convention on Cryptography and Coding held in Cirencester, united kingdom, in December 1999.
The 35 revised complete papers offered have been conscientiously reviewed and chosen for inclusion within the complaints. one of the issues coated are error-correcting coding, mathematics coding for facts compression and encryption, photo coding, biometric authentication, broadcast channel entry, graph and trellis deciphering, rapid codes, convolution codes, Reed Solomon codes, elliptic curve cryptography, primality checking out, finite-field mathematics, and cryptographic protocols.

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Maximal recursive sequences with 3-valued cross-correlation functions. IEEE Trans. Inform. Theory, IT-14: 154–156, 1968. [17] G. Gong. Theory and applications of q–ary interleaved sequences. IEEE Trans. Inform. Theory, IT-41(2): 400–411, March 1995. R. V. R. A. Sloane, and P. Sol´e. The Z4-linearity of Kerdock, Preparata, Goethals and related codes. IEEE Trans. Inform. Theory, IT-40: 301–319, 1994. [19] T. Helleseth. On the covering radius of cyclic linear codes and arithmetic codes. Discrete. Appl.

Secondly, we present a simple search algorithm for finding Boolean functions with good nonlinearity and some fixed resiliency. 1 Introduction A Boolean function used in a stream cipher requires that the function satisfies certain criteria in order to resist different attacks. Here we study the tradeoff between two such criteria, the nonlinearity and the resiliency of the Boolean function. The resiliency is defined as the number of arbitrary input variables to the function that can be kept fixed without making the output unbalanced, when running through all the other input variables.

The directed search algorithm can be described as follows: 1. Generate a random balanced Boolean function f (x). 2. t. |Fi1 | ≥ |Fi2 | ≥ · · · ≥ |Fi2n |. 3. Find the entry s that maximizes v, where v is the integer such that |Fi1 |, |Fi2 |, . . , |Fiv | all decreases when the s-th bit is complemented. Complement the s-th bit in f (x). 4. Check the nonlinearity of the new f (x). If a cycle is detected go to step 1, otherwise go to step 2. 5. Output the best obtained function. Note that the output function generally is not balanced, but this is not a problem because the existence of just a single zero in the vector Fˆ allows us to obtain a balanced function.

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