Vectorial resilient PC(l) of order k Boolean functions from AG-codes
نویسندگان
چکیده
منابع مشابه
Vectorial Resilient $PC(l)$ of Order $k$ Boolean Functions from AG-Codes
Propagation criteria and resiliency of vectorial Boolean functions are important for cryptographic purpose (see [1], [2], [3], [4], [7], [8], [10], [11] and [16]). Kurosawa , Stoh [8] and Carlet [1] gave a construction of Boolean functions satisfying PC(l) of order k from binary linear or nonlinear codes. In this paper algebraic-geometric codes over GF (2m) are used to modify the Carlet and Kur...
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Propagation criterion of degree l and order k (PC(l) of order k) and resiliency of vectorial Boolean functions are important for cryptographic purpose (see [1, 2, 3, 6, 7,8,10,11,16]. Kurosawa , Stoh [8] and Carlet [1] gave a construction of Boolean functions satisfying PC(l) of order k from binary linear or nonlinear codes. In this paper, algebraic-geometric codes over GF (2) are used to modif...
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Propagation criterion of degree l and order k (PC(l) of order k) for Boolean functions is important for the design of block ciphers. In [1-2] Kurosawa , Stoh and Carlet give several constructions of Boolean functions satisfying PC(l) of order k from binary linear or nonlinear codes.
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To appear as a chapter of the volume " Boolean Methods and Models " ,
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Binary linear codes with good parameters have important applications in secret sharing schemes, authentication codes, association schemes, and consumer electronics and communications. In this paper, we construct several classes of binary linear codes from vectorial Boolean functions and determine their parameters, by further studying a generic construction developed by Ding et al. recently. Fir...
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ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2010
ISSN: 0252-9599,1860-6261
DOI: 10.1007/s11401-010-0621-4