منابع مشابه
Generating Bent Sequences
Adams, C. We introduce two general classes of bent sequences, " bent-based " and " linear-based " , and conjecture that all bent sequences fall into these classes. This gives us a framework for discussing the construction and cardinality of the set of bent sequences of any given order.
متن کاملComments on 'Generating and counting binary Bent sequences'
We prove that the conjecture on bent sequences stated in Generating and counting bent sequences IEEE Transactions on Information Theory IT No by C M Adams and S E Tavares is false Let Vn be the vector space of n tuples of elements from GF Any map from Vn to GF f can be uniquely written as a polynomial in coordinates x xn f x xn M
متن کاملNew Constructions of p-ary Bent Sequences
In this paper, using bent functions defined on the finite field, we generalized the construction method of the family of p-ary bent sequences with balanced and optimal correlation property introduced by Kumar and Moreno for an odd prime p [3], called a generalized p-ary bent sequence. It turns out that the family of balanced p-ary sequences with optimal correlation property introduced by Moriuc...
متن کاملSequences, Bent Functions and Jacobsthal Sums
The p-ary function f(x) mapping GF(p) to GF(p) and given by f(x) = Tr4k ( ax + bx ) with a, b ∈ GF(p) and d = p + p − p + 1 is studied with the respect to its exponential sum. In the case when either a (p+1) 6= b +1 or a = b with b 6= 0, this sum is shown to be three-valued and the values are determined. For the remaining cases, the value of the exponential sum is expressed using Jacobsthal sum...
متن کاملArising from Generating Sequences
In this note, we will discuss how to relate an operator ideal on Banach spaces to the sequential structures it defines. Concrete examples of ideals of compact, weakly compact, completely continuous, Banach-Saks and weakly Banach-Saks operators will be demonstrated.
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1992
ISSN: 0166-218X
DOI: 10.1016/0166-218x(92)90166-8