Cryptography and Security Systems: Third International by Zbigniew Kotulski, Bogdan Ksiezopolski, Katarzyna Mazur

By Zbigniew Kotulski, Bogdan Ksiezopolski, Katarzyna Mazur

This publication constitutes the refereed lawsuits of the 3rd foreign convention on Cryptography and safety platforms, CSS 2014, held in Lublin, Poland, in September 2014. The 17 revised complete papers offered have been conscientiously reviewed and chosen from forty three submissions. 7 of these papers situation varied components of cryptography, whereas the remainder 10 care for fresh difficulties of cryptographic protocols.

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Extra resources for Cryptography and Security Systems: Third International Conference, CSS 2014, Lublin, Poland, September 22-24, 2014. Proceedings

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24(1), 51–60 (1988); English translation publ. Journal of Problems of Information Transmission, 39–46 On Multivariate Cryptosystems Based on Polynomially Compressed Maps 37 12. : On regular forests given in terms of algebraic geometry, new families of expanding graphs with large girth and new multivariate cryptographical algorithms. In: Proceedings of International Conference: Applications of Computer Algebra, Malaga, 135–139 (2013) 13. : Efficient signature schemes based on birational permutations.

The complexity of computation of the value of each f i (n) in a given point x is O(nd ). Let us assume that we have a family of polynomial maps of restricted degree. It means that such multivariate maps f (n) in n variables form the family of polynomial density. Let us assume that variables are subdivided into two groups x1 , x2 , . . , xm1 and y1 , y2 , . . , ym2 , where m1 = m1 (n) and m2 = m2 (n) are the linear functions in n, m1 + m2 = n. Let us consider the specialisation: y1 = h1 (x1 , x2 , .

From these tests we selected 5 tests which taken together verify random properties of the generated sequences. They are: 1. The monobit test (in Tables 2 - 6 named Frequency Test ), which verifies if the number of ”1” bits in the sequence lies within specified limits, 2. The cumulative sums test, which determines whether the cumulative sum of the partial sequences occurring in the tested sequence is too large or too small relative to the expected behavior of that cumulative sum for random sequences.

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