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Weak generalized self-shrinking generators
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作者 Dong Lihua Hu Yupu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第2期407-411,共5页
The security of certain classes of the generalized self-shrinking sequence (GSS) generators is analyzed. Firstly, it is shown that the security of these GSS generators is equivalent to the security of the GSS genera... The security of certain classes of the generalized self-shrinking sequence (GSS) generators is analyzed. Firstly, it is shown that the security of these GSS generators is equivalent to the security of the GSS generators of the class-1, after which two effective key recovery attacks on the GSS generators of the class-1 are developed to evaluate their security. 展开更多
关键词 CRYPTOGRAPHY Stream cipher Key recovery attacks generalized self-shrinking sequence.
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Next Generation Sequencing in Oncological Diagnostics: Hype or Hope?
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作者 Rana Hallak Manfred Kuepper Amer Al Chikh Youssef 《Journal of Biosciences and Medicines》 2024年第2期244-256,共13页
The understanding of how genetic and epigenetic factors influence tumorigenesis, progression and invasion, is vastly growing since new technologies allow the analysis of the functional genome namely the exome, the tra... The understanding of how genetic and epigenetic factors influence tumorigenesis, progression and invasion, is vastly growing since new technologies allow the analysis of the functional genome namely the exome, the transcriptome and the epigenome, besides enabling genome-wide assessment of genetic variations. With the advent of new drugs that are indicated tissue agnostic, depending on certain mutations, there is a growing demand for fast and cost-effective genetic diagnosis. The method in focus that already became an indispensable tool in viral diagnosis is next-generation sequencing (NGS). This approach allows sequencing of literally every DNA molecule in the sample and can either be used to assess numerous genetic markers of one patient at a time, or to assess fewer markers of many patients in parallel, which reduces costs. We submitted 23 samples of different tumor entities to four diagnostic companies with different analysis profiles. The results as disclosed and discussed in this report indicate that so far, the main application of NGS is rather in cancer research than in diagnosis, as none of the reports had a real impact on the therapeutic scheme. We are perfectly aware that such a small cohort cannot be generalized, but considering the costs vs. benefits, NGS should be engaged upon a very stringent evaluation only. However, in cases where obtaining a tissue biopsy is impossible or unfavorable, analysis of liquid biopsy by NGS provides a vital alternative. 展开更多
关键词 ONCOLOGY Next generation sequencing Tumor Diagnosis Personalized Medicine
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Linear complexity of Ding generalized cyclotomic sequences 被引量:2
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作者 闫统江 陈智雄 肖国镇 《Journal of Shanghai University(English Edition)》 CAS 2007年第1期22-26,共5页
Minimal polynomials and linear complexity of binary Ding generalized cyclotomic sequences of order 2 with the two-prime residue ring Zpq are obtained by Bai in 2005. In this paper, we obtain linear complexity and mini... Minimal polynomials and linear complexity of binary Ding generalized cyclotomic sequences of order 2 with the two-prime residue ring Zpq are obtained by Bai in 2005. In this paper, we obtain linear complexity and minimal polynomials of all Ding generalized cyclotomic sequences. Our result shows that linear complexity of these sequences takes on the values pq and pq-1 on our necessary and sufficient condition with probability 1/4 and the lower bound (pq - 1)/2 with probability 1/8. This shows that most of these sequences are good. We also obtained that linear complexity and minimal polynomials of these sequences are independent of their orders. This makes it no more difficult in choosing proper p and q. 展开更多
关键词 stream cipher generalized cyclotomic sequence linear complexity minimal polynomial
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Linear complexity and autocorrelation of a new class of binary generalized cyclotomic sequences of order two and length pqr 被引量:1
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作者 JIA Wenjuan GAO Juntao ZHANG Peng 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2019年第4期651-661,共11页
Cyclotomic sequences have good cryptographic properties and are closely related to difference sets.This paper proposes a new class of binary generalized cyclotomic sequences of order two and length pqr.Its linear comp... Cyclotomic sequences have good cryptographic properties and are closely related to difference sets.This paper proposes a new class of binary generalized cyclotomic sequences of order two and length pqr.Its linear complexity,minimal polynomial,and autocorrelation are investigated.The results show that these sequences have a large linear complexity when 2∈D1,which means they can resist the Berlekamp-Massey attack.Furthermore,the autocorrelation values are close to 0 with a probability of approximately 1?1/r.Therefore,when r is a big prime,the new sequence has a good autocorrelation. 展开更多
关键词 generalized cyclotomic sequence linear complexity MINIMAL POLYNOMIAL AUTOCORRELATION value.
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Generalized Harmonic Numbers Hn,k,r (α,β) with Combinatorial Sequences 被引量:1
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作者 Rui Wang   Wuyungaowa 《Journal of Applied Mathematics and Physics》 2022年第5期1602-1618,共17页
In this paper, we observe the generalized Harmonic numbers H<sub>n,k,r</sub> (α,β). Using generating function, we investigate some new identities involving generalized Harmonic numbers H<sub>n,k,r&... In this paper, we observe the generalized Harmonic numbers H<sub>n,k,r</sub> (α,β). Using generating function, we investigate some new identities involving generalized Harmonic numbers H<sub>n,k,r</sub> (α,β) with Changhee sequences, Daehee sequences, Degenerate Changhee-Genoocchi sequences, Two kinds of degenerate Stirling numbers. Using Riordan arrays, we explore interesting relations between these polynomials, Apostol Bernoulli sequences, Apostol Euler sequences, Apostol Genoocchi sequences. 展开更多
关键词 generating Function Riordan Arrays generalized Harmonic Numbers Changhee sequences Daehee sequences Apostol Bernoulli sequences Degenerate Changhee-Genoocchi sequences
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SELECTION OF THE LINEAR COMBINING VECTOR G OF THE GENERALIZED SELF-SHRINKING GENERATORS
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作者 Dong Lihua Zeng Yong Hu Yupu 《Journal of Electronics(China)》 2006年第4期506-509,共4页
Given an m-sequence, the main factor influencing the least period of the Generalized Self-Shrinking (GSS) sequence is the selection of the linear combining vector G. Based on the calculation of the minimal polynomia... Given an m-sequence, the main factor influencing the least period of the Generalized Self-Shrinking (GSS) sequence is the selection of the linear combining vector G. Based on the calculation of the minimal polynomial ofL GSS sequences and the comparison of their degrees, an algorithm for selecting the linear combining vector G is presented, which is simple to understand, to implement and to prove. By using this method, much more than 2^L-l linear combining vectors G of the desired properties will be resulted. Thus in the practical application the linear combining vector G can be chosen with great arbitrariness. Additionally, this algorithm can be extended to any finite field easily. 展开更多
关键词 CRYPTOGRAPHY Stream cipher M-sequence generalized self-shrinking (GSS) sequences
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FINITE EXTENSIONS OF GENERALIZED BESSEL SEQUENCES TO GENERALIZED FRAMES
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作者 Dengfeng LI Yanting LI 《Acta Mathematica Scientia》 SCIE CSCD 2018年第6期1939-1950,共12页
The objective of this paper is to investigate the question of modifying a givengeneralized Bessel sequence to yield a generalized frame or a tight generalized frame by finiteextension. Some necessary and sufficient co... The objective of this paper is to investigate the question of modifying a givengeneralized Bessel sequence to yield a generalized frame or a tight generalized frame by finiteextension. Some necessary and sufficient conditions for the finite extensions of generalizedBessel sequences to generalized frames or tight generalized frames are provided, and everyresult is illustrated by the corresponding example. 展开更多
关键词 FRAME generalized frame generalized Bessel sequence
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Ordered Generalized Sequence Spaces and their Duals
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作者 卜庆营 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1995年第3期7-10,共4页
The main result of this paper is the identification of the sequential order dual [∧(X)]so containing sequentially order continuous linear functionals on the ordered generalized sequence space ∧(X) with its generaliz... The main result of this paper is the identification of the sequential order dual [∧(X)]so containing sequentially order continuous linear functionals on the ordered generalized sequence space ∧(X) with its generalized Kothe dual ∧x(Xso), defined corresponding to the dual pair <X, Xso>. 展开更多
关键词 ss: generalized sequence space order DUAL Kothe DUAL
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Linear Complexity of New Generalized Cyclotomic Sequences of Length 2pq
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作者 王宏伟 葛武 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2014年第6期710-716,共7页
The linear complexity and minimal polynomial of new generalized cyclotomic sequences of order two are investigated.A new generalized cyclotomic sequence Sof length 2pqis defined with an imbalance p+1.The results show ... The linear complexity and minimal polynomial of new generalized cyclotomic sequences of order two are investigated.A new generalized cyclotomic sequence Sof length 2pqis defined with an imbalance p+1.The results show that this sequence has high linear complexity. 展开更多
关键词 generalized cyclotomic sequence linear complexity minimal polynomial
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DNA Sequences with Forbidden Words and the Generalized Cantor Set
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作者 Zhuowei Yang Ping Wang 《Journal of Applied Mathematics and Physics》 2019年第8期1687-1696,共10页
In this work, we establish relations between DNA sequences with missing subsequences (the forbidden words) and the generalized Cantor sets. Various examples associated with some generalized Cantor sets, including Hao... In this work, we establish relations between DNA sequences with missing subsequences (the forbidden words) and the generalized Cantor sets. Various examples associated with some generalized Cantor sets, including Hao’s frame representation and the generalized Sierpinski Set, along with their fractal graphs, are also presented in this work. 展开更多
关键词 DNA sequenceS generalized CANTOR SET
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GENERALIZED INVERSE RATIONAL EXTRAPOLATION METHODS FOR MATRIX SEQUENCES
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作者 Li Chunjing(Dept.of Math .,tongji Uniersity/Math ,shanghai University,Shanghai 200331,PRC)Gu Chuanqing(Dept.of Math.,Shanghai University,Shanghai 200436,PRC) 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2000年第S1期86-90,共5页
Assume that a convergent matrix sequence{A<sub>n</sub>}:A<sub>n</sub>→A(n→∞), A<sub>n</sub>,A∈C<sup>3×3</sup>.We want to form a new matrix sequence {H<sub&... Assume that a convergent matrix sequence{A<sub>n</sub>}:A<sub>n</sub>→A(n→∞), A<sub>n</sub>,A∈C<sup>3×3</sup>.We want to form a new matrix sequence {H<sub>n</sub>}, derived from {A<sub>n</sub>}, which has also A aslimit and whose convergence is faster than the of {A<sub>n</sub>}. Three rational extrapolation meth-ods for accelerating the convergence of matrix sequences {A<sub>n</sub>} are presented in this paper.The underlying methods are based on the generalized inverse for matrices which is 展开更多
关键词 MATH generalized INVERSE RATIONAL EXTRAPOLATION METHODS FOR MATRIX sequenceS RATIONAL
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Digital chaotic sequence generator based on coupled chaotic systems 被引量:5
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作者 刘树波 孙婧 +1 位作者 徐正全 刘金硕 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第12期5219-5227,共9页
Chaotic systems perform well as a new rich source of cryptography and pseudo-random coding. Unfortunately their digital dynamical properties would degrade due to the finite computing precision. Proposed in this paper ... Chaotic systems perform well as a new rich source of cryptography and pseudo-random coding. Unfortunately their digital dynamical properties would degrade due to the finite computing precision. Proposed in this paper is a modified digital chaotic sequence generator based on chaotic logistic systems with a coupling structure where one chaotic subsystem generates perturbation signals to disturb the control parameter of the other one. The numerical simulations show that the length of chaotic orbits, the output distribution of chaotic system, and the security of chaotic sequences have been greatly improved. Moreover the chaotic sequence period can be extended at least by one order of magnitude longer than that of the uncoupled logistic system and the difficulty in decrypting increases 2^128*2^128 times indicating that the dynamical degradation of digital chaos is effectively improved. A field programmable gate array (FPGA) implementation of an algorithm is given and the corresponding experiment shows that the output speed of the generated chaotic sequences can reach 571.4 Mbps indicating that the designed generator can he applied to the real-time video image encryption. 展开更多
关键词 CHAOS coupling structure sequence generator
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THE HAUSDORFF DIMENSION OF THE SPECTRUM OF A CLASS OF GENERALIZED THUE-MORSE HAMILTONIANS
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作者 刘庆晖 唐志毅 《Acta Mathematica Scientia》 SCIE CSCD 2023年第5期1997-2004,共8页
Letτbe a generalized Thue-Morse substitution on a two-letter alphabet{a,b}:τ(a)=ambm,τ(b)=bmam for the integer m≥2.Letξbe a sequence in{a,b}Z that is generated byτ.We study the one-dimensional Schr?dinger operat... Letτbe a generalized Thue-Morse substitution on a two-letter alphabet{a,b}:τ(a)=ambm,τ(b)=bmam for the integer m≥2.Letξbe a sequence in{a,b}Z that is generated byτ.We study the one-dimensional Schr?dinger operator Hm,λon l2(Z)with a potential given by v(n)=λVξ(n),whereλ>0 is the coupling and Vξ(n)=1(Vξ(n)=-1)ifξ(n)=a(ξ(n)=b).LetΛ2=2,and for m>2,letΛm=m if m≡0 mod 4;letΛm=m-3 if m≡1 mod 4;letΛm=m-2if m≡2 mod 4;letΛm=m-1 if m≡3 mod 4.We show that the Hausdorff dimension of the spectrumσ(Hm,λ)satisfies that dimHσ(Hm,λ)>logΛm/(log 64m+4).It is interesting to see that dimHσσ(Hm,λ)tends to 1 as m tends to infinity. 展开更多
关键词 one-dimensional Schrodinger operator generalized Thue-Morse sequence Hausdorff dimension
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Cross-domain sequence labelling using language modelling and parameter generating 被引量:1
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作者 Bo Zhou Jianying Chen +3 位作者 Qianhua Cai Yun Xue Chi Yang Jing He 《CAAI Transactions on Intelligence Technology》 SCIE EI 2022年第4期710-720,共11页
Sequence labelling(SL)tasks are currently widely studied in the field of natural language processing.Most sequence labelling methods are developed on a large amount of labelled training data via supervised learning,wh... Sequence labelling(SL)tasks are currently widely studied in the field of natural language processing.Most sequence labelling methods are developed on a large amount of labelled training data via supervised learning,which is time-consuming and expensive.As an alternative,domain adaptation is proposed to train a deep-learning model for sequence labelling in a target domain by exploiting existing labelled training data in related source domains.To this end,the authors propose a Bi-LSTM model to extract more-related knowledge from multi-source domains and learn specific context from the target domain.Further,the language modelling training is also applied to cross-domain adaptability facilitating.The proposed model is extensively evaluated with the named entity recognition and part-of-speech tagging tasks.The empirical results demonstrate the effectiveness of the cross-domain adaption.Our model outperforms the state-of-the-art methods used in both cross-domain tasks and crowd annotation tasks. 展开更多
关键词 sequence generATING consuming
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A general result on precise asymptotics for linear processes of positively associated sequences 被引量:10
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作者 TAN Xi-li YANG Xiao-yun 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第2期190-196,共7页
Let {εt; t ∈ Z^+} be a strictly stationary sequence of associated random variables with mean zeros, let 0〈Eε1^2〈∞ and σ^2=Eε1^2+1∑j=2^∞ Eε1εj with 0〈σ^2〈∞.{aj;j∈Z^+} is a sequence of real numbers s... Let {εt; t ∈ Z^+} be a strictly stationary sequence of associated random variables with mean zeros, let 0〈Eε1^2〈∞ and σ^2=Eε1^2+1∑j=2^∞ Eε1εj with 0〈σ^2〈∞.{aj;j∈Z^+} is a sequence of real numbers satisfying ∑j=0^∞|aj|〈∞.Define a linear process Xt=∑j=0^∞ ajεt-j,t≥1,and Sn=∑t=1^n Xt,n≥1.Assume that E|ε1|^2+δ′〈 for some δ′〉0 and μ(n)=O(n^-ρ) for some ρ〉0.This paper achieves a general law of precise asymptotics for {Sn}. 展开更多
关键词 PA sequence linear process general law precise asymptotics.
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A RANDOM SEQUENCE GENERATOR BASED ON CHAOTIC CIRCUITS
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作者 Chen Jianxiao Ran Lixin Chen Kangsheng (Dept. of Info, and Electron. Eng., Zhejiang University, Hangzhou 310027) 《Journal of Electronics(China)》 2001年第1期56-60,共5页
In this paper, a random sequence generator based on chaotic circuits is presented.Fundamental principle and experimental circuit have been carried out in case of Chua's circuit.The statistical results are in good ... In this paper, a random sequence generator based on chaotic circuits is presented.Fundamental principle and experimental circuit have been carried out in case of Chua's circuit.The statistical results are in good agreement with probability characteristics of random sequence. 展开更多
关键词 RANDOM sequence generATOR CHAOS Chua's CIRCUIT
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Generating functions for powers of second-order recurrence sequences
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作者 王晓霞 李梅 《Journal of Shanghai University(English Edition)》 CAS 2011年第6期517-521,共5页
For the sequences satisfying the recurrence relation of the second order,the generating functions for the products of the powers of these sequences are established.This study was from Carlita and Riordan who began a s... For the sequences satisfying the recurrence relation of the second order,the generating functions for the products of the powers of these sequences are established.This study was from Carlita and Riordan who began a study on closed form of generating functions for powers of second-order recurrence sequences.This investigation was completed by Stnica.Inspired by the recent work of Istva'n about the non-closed generating functions of the products of the powers of the second-order sequences,the authors give several extensions of Istva'n's results in this paper. 展开更多
关键词 generating function second-order sequence the Binet formula
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HIERACHICAL STRUCTURES FOR GENERATING PSEUDO-RANDOM SEQUENCES AND ARRAYS
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作者 Shi Wenhong Chen Jinguang(Department of Radio Engineering, Fuzhou University, Fuzhou 350002) 《Journal of Electronics(China)》 1997年第1期20-26,共7页
This paper proposes new hierarchical structures for generating pseudorandom sequences and arrays. The principle of the structures is based on a new concept-multi-interleaving. It is the generalization of normal sequen... This paper proposes new hierarchical structures for generating pseudorandom sequences and arrays. The principle of the structures is based on a new concept-multi-interleaving. It is the generalization of normal sequence decimation(sampling). The kernal of the structures is a lower speed linear feedback shift register together with several high speed time-division multiplexers arranged hierarchically. These new structures have much higher speed compared with that of other schemes proposed before. 展开更多
关键词 PSEUDO-RANDOM sequenceS PSEUDO-RANDOM ARRAYS High-speed generation sequence DECIMATION
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Design of Digital Hybrid Chaotic Sequence Generator
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作者 饶妮妮 曾东 《Journal of Electronic Science and Technology of China》 2004年第1期14-16,75,共4页
The feasibility of the hybrid chaotic sequences as the spreading codes in code divided multiple access(CDMA) system is analyzed. The design and realization of the digital hybrid chaotic sequence generator by very high... The feasibility of the hybrid chaotic sequences as the spreading codes in code divided multiple access(CDMA) system is analyzed. The design and realization of the digital hybrid chaotic sequence generator by very high speed integrated circuit hardware description language(VHDL) are described. A valid hazard canceledl method is presented. Computer simulations show that the stable digital sequence waveforms can be produced. The correlations of the digital hybrid chaotic sequences are compared with those of m-sequences. The results show that the correlations of the digital hybrid chaotic sequences are almost as good as those of m-sequences. The works in this paper explored a road for the practical applications of chaos. 展开更多
关键词 digital hybrid chaotic sequence generATOR VHDL code divided multiple access(CDMA)
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Minimal-Length Interoperability Test Sequences Generation via Genetic Algorithm
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作者 钟宁 匡镜明 何遵文 《Journal of Beijing Institute of Technology》 EI CAS 2008年第3期341-345,共5页
A novel interoperability test sequences optimization scheme is proposed in which the genetic algorithm (GA) is used to obtain the minimal-length interoperability test sequences. During our work, the basic interopera... A novel interoperability test sequences optimization scheme is proposed in which the genetic algorithm (GA) is used to obtain the minimal-length interoperability test sequences. During our work, the basic interoperability test sequences are generated based on the minimal-complete-coverage criterion, which removes the redundancy from conformance test sequences. Then interoperability sequences minimization problem can be considered as an instance of the set covering problem, and the GA is applied to remove redundancy in interoperability transitions. The results show that compared to conventional algorithm, the proposed algorithm is more practical to avoid the state space explosion problem, for it can reduce the length of the test sequences and maintain the same transition coverage. 展开更多
关键词 interoperability testing genetic algorithm test sequences generation
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