منابع مشابه
Bent and generalized bent Boolean functions
In this paper, we investigate the properties of generalized bent functions defined on Z2 with values in Zq , where q ≥ 2 is any positive integer. We characterize the class of generalized bent functions symmetric with respect to two variables, provide analogues of Maiorana–McFarland type bent functions and Dillon’s functions in the generalized set up. A class of bent functions called generalized...
متن کاملSpecial bent and near-bent functions
Starting from special near-bent functions in dimension 2t − 1 we construct bent functions in dimension 2t having a specific derivative. We deduce new families of bent functions.
متن کاملBent Functions
Bent functions have connections into various areas of mathematics and computer science which makes them an interesting object to study. This thesis is meant as a comprehensive study summarizing many of the results published in the last 40 years. In the first chapter we will motivate the definition of bent functions before we discuss some basic properties in chapter 2. This is done with a specia...
متن کاملAround bent and semi-bent quadratic Boolean functions
The maximum length sequences, also called m-sequences, have received a lot of attention since the late sixties. In terms of LFSR synthesis they are usually generated by certain power polynomials over finite field and in addition characterized by a low cross correlation and high nonlinearity. We say that such sequence is generated by a semi-bent function. Some new families of such function, repr...
متن کاملConstruction of bent functions from two known bent functions
A (I, -1 )-matrix will be called a bent type matrix if each row and each column are bent sequences. A similar description can be found in Carlisle M. Adams and Stafford E. Tavares, Generating and counting binary sequences, IEEE Trans. Inform. Theory, vol. 36, no. 5, pp. 1170-1173, 1990, in which the authors use the properties of bent type matrices to construct a class of bent functions. In this...
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ژورنال
عنوان ژورنال: Journal of Family Planning and Reproductive Health Care
سال: 2011
ISSN: 1471-1893,2045-2098
DOI: 10.1136/jfprhc.2011.0069