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Accessibility Features Constructed By The Pseudo-random Sequence Of Symbols K Passing Points

Posted on:2015-03-03Degree:MasterType:Thesis
Country:ChinaCandidate:Y YongFull Text:PDF
GTID:2268330428971496Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
With the development of communication and network, the pseudorandom sequence has a very important role in the communication field, particularly in the area of cryptography, so it is very necessary to research in this area. This paper discusses the random multiplicative feature k symbol of pseudorandom sequence and symbol pseudorandom lattice, and obtain some results and relevant inferences, major achievements include the following aspects:One a new feature sequence is constructed as follows and Ep1=(e1,…,ep-1), And p is a prime number,x is a character modulo p of order k, f(x)∈Fp[x]has degree h(>0). We use partition method to obtain uniform distribution measure associated with the correlation measure of the sequence which order is1is enough small in this paper, so we think that the sequences have good pseudorandom, and get some conclusion.Two constructing a new pseudo random lattice by multiplicative feature as follows: And p is prime number, n,k,l∈N, such that k丨p-1,vi,…, vn∈Fq is a basis over Fp,x1is the multiplicative character, and F∈Fq[x]. The range of pseudo random measure of the lattice illustrate the lattice have good pseudo random.
Keywords/Search Tags:pseudorandom sequence, k symbol, f-well distribution measure, f-correlationmeasure, character sum, pseudorandom lattice
PDF Full Text Request
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