A Multivariate Public-Key Cryptosystem (MPKC) is a public-key cryptosystem where the public map P, or trapdoor one-way function, is given as a set of m polynomial of a small degree d equations over n variables in a finite field F . Usually d = 2, hence the alternate name “Multivariate Quadratic” (MQ). To decrypt, authenticate or sign digitally, a user must, for a given m-tuple z = (z1, . . . , ...

Welch–Gong (WG) transformation sequences are binary sequences of period 2 1 with two-level autocorrelation. These sequences were discovered by Golomb, Gong, and Gaal in 1998 and they verified the validity of their construction for 5 20. Later, No, Chung, and Yun found another way to construct the WG sequences and verified their result for 5 23. Dillon first proved this result for odd in 1998, a...

In this paper we give conditions for a tuple of commutative bounded linear operators which holds in the property of the Hypercyclicity Criterion. We characterize topological transitivity and semi-hereiditarily of a dynamical system given  by an n-tuple of operators acting on a separable infinite dimensional Banach space .

Let H be an r-partite r-graph, all of whose sides have the same size n. Suppose that there exist two sides of H , each satisfying the following condition: the degree of each legal r−1-tuple contained in the complement of this side is strictly larger than n 2 . We prove that under this condition H must have a perfect matching. This answers a question of Kühn and Osthus.

We present a functional encryption scheme based on standard assumptions where ciphertexts are associated with a tuple of values (x1, . . . , xn) ∈ Zp , secret keys are associated with a degree-two polynomial, and the decryption of a ciphertext ct(x1,...,xn)∈Znp with a secret key skP∈Zp[X1,...,Xn],deg(P )≤2 recovers P (x1, . . . , xn), where the ciphertext contains only O(n) group elements. Our ...

As a "lubricant" and "booster" for green development, finance plays an important role in promoting high-quality economic development. one of the most active regions Yangtze River Delta region leads country development finance. This paper takes as research object, uses relevant data from 2010 to 2021, coupled coordination model analyze coordinated region, grey correlation degree two systems. It ...

Semantic Tuple Space Coordination for the Semantic Web with Applications in Life Science Peishen Qi 2007 The primary goal of the Semantic Web is to provide a web of data that are accessible and processable by machines. Different communities have started to publish their resources using Resource Description Framework (RDF), RDF Schema (RDFS), or Web Ontology Language (OWL), based on the level of...

For actual decision making problems, decision makers sometimes may have difficulty to provide all the preference information over alternatives through pairwise comparisons. In this paper, we focus on estimating missing elements for an incomplete uncertain 2-tuple linguistic preference relation. First, the additive consistency of an uncertain 2-tuple linguistic preference relation is defined. Ba...

In this work, the optimal process to improve efficiency of microwave drying rice is studied. The conditions for reducing crack rate and improving head are analyzed according principle orthogonal experiment. optimization method parameters proposed simultaneously consider two indicators, namely, rates, based on grey system theory. correlation degree analysis carried out rice. result shows that ma...