On weak differential uniformity of vectorial Boolean functions as a cryptographic criterion
نویسندگان
چکیده
منابع مشابه
Using evolutionary computation to create vectorial Boolean functions with low differential uniformity and high nonlinearity
The two most important criteria for vectorial Boolean functions used as S-boxes in block ci-phers are differential uniformity and nonlinearity. Previous work in this field has focused onlyon nonlinearity and a different criterion, autocorrelation. In this paper, we describe the resultsof experiments in using simulated annealing, memetic algorithms, and ant colony optimisation to...
متن کاملOn Cryptographically Secure Vectorial Boolean Functions
In this paper, we show the rst method to construct vecto-rial bent functions which satisfy both the largest degree and the largest number of output bits simultaneously. We next apply this method to construct balanced vectorial Boolean functions which have larger non-linearities than previously known constructions.
متن کاملVectorial Boolean Functions for Cryptography
To appear as a chapter of the volume " Boolean Methods and Models " ,
متن کاملOn Cryptographic Properties of Random Boolean Functions
Boolean functions used in cryptographic applications have to satisfy various cryptographic criteria. Although the choice of the criteria depends on the cryptosystem in which they are used, there are some properties (balancedness, nonlinearity, high algebraic degree, correlation immunity, propagation criteria) which a cryptographically strong Boolean function ought to have. We study the above me...
متن کاملGeneralized Correlation Analysis of Vectorial Boolean Functions
We investigate the security of n-bit to m-bit vectorial Boolean functions in stream ciphers. Such stream ciphers have higher throughput than those using single-bit output Boolean functions. However, as shown by Zhang and Chan at Crypto 2000, linear approximations based on composing the vector output with any Boolean functions have higher bias than those based on the usual correlation attack. In...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applicable Algebra in Engineering, Communication and Computing
سال: 2016
ISSN: 0938-1279,1432-0622
DOI: 10.1007/s00200-016-0285-8