Bastd on the relationship between nonlinearity and resiliency of amulti-output function, we present a method for constructing noninterseeling linear codes frompacking design. Through these linear codes, we obtain n-va...Bastd on the relationship between nonlinearity and resiliency of amulti-output function, we present a method for constructing noninterseeling linear codes frompacking design. Through these linear codes, we obtain n-variable, m-output, t-resilient functionswith very high nonlinearity. Their nonlinearities are currently the best results for most of cases.展开更多
In this paper, the definition of multl-output partially Bent functions is presented and some properties are discussed. Then the relationship between multi-output partially Bent functions and multi-output Bent function...In this paper, the definition of multl-output partially Bent functions is presented and some properties are discussed. Then the relationship between multi-output partially Bent functions and multi-output Bent functions is given in Theorem 4, which includes Walsh spectrum expression and function expression. This shows that multi-output partially Bent functions and multi-output Bent functions can define each other in principle. So we obtain the general method to construct multi-output partially Bent functions from multi-output Bent functions.展开更多
Based on the theory of quadratic forms over finite fields, a new construction of semi-bent and bent functions is presented. The proposed construction has a cascaded characteristic. Some previously known constructions ...Based on the theory of quadratic forms over finite fields, a new construction of semi-bent and bent functions is presented. The proposed construction has a cascaded characteristic. Some previously known constructions of semi-bent and bent functions are special cases of the new construction.展开更多
Generalized Bent function and generalized Bent function sequences are introduced in this paper.The main performance or these sequences used as SW/SFH(Short Wave/Slow Frequency Hopping) code are studied. And the hardwa...Generalized Bent function and generalized Bent function sequences are introduced in this paper.The main performance or these sequences used as SW/SFH(Short Wave/Slow Frequency Hopping) code are studied. And the hardware circuit and the soflware program flow chart of the SW/SFH PN code generator are also given,which is based on generalized Bent function sequence generator by using a single chip mlcrocomputer.展开更多
By the relationship between the first linear spectra of a function at partialpoints and the Hamming weights of the sub-functions,and by the Hamming weight of homogenousBoolean function,it is proved that there exist no...By the relationship between the first linear spectra of a function at partialpoints and the Hamming weights of the sub-functions,and by the Hamming weight of homogenousBoolean function,it is proved that there exist no homogeneous bent functions ofdegree in in n=2mvariables for m>3.展开更多
A class of semi-bent functions with an even number of variables is constructed by using the values of Kloosterman sums.These semi-bent functions are Boolean functions with four trace terms.Moreover,it is shown that th...A class of semi-bent functions with an even number of variables is constructed by using the values of Kloosterman sums.These semi-bent functions are Boolean functions with four trace terms.Moreover,it is shown that the algebraic degrees of the new semi-bent functions attain the maximum values.展开更多
The main results in this paper are to construct two classes of plateaued functions with desirable cryptographic properties. By using the Maiorana-McFarland construction, a class of highly nonlinear resilient plateaued...The main results in this paper are to construct two classes of plateaued functions with desirable cryptographic properties. By using the Maiorana-McFarland construction, a class of highly nonlinear resilient plateaued functions satisfying the propagation criterion has been obtained. Johansson,s et al＇ s construction is modified slightly to obtain highly nonlinear multi-output resilient plateaued functions.展开更多
This study was carried out to assess plasticity to drought of 30 adult fig cultivars,based on a screening of leaf structural and functional traits under sustained deficit irrigation,corresponding to 60%of crop evapotr...This study was carried out to assess plasticity to drought of 30 adult fig cultivars,based on a screening of leaf structural and functional traits under sustained deficit irrigation,corresponding to 60%of crop evapotranspiration.All trees,three per cultivar,are planted in an ex-situ collection in Sais plain,northern Morocco.The measurements concerned leaf area,blade thickness,trichomes density,trichome hair length,stomatal density,stomatal dimensions,stomatal area index,chlorophyll concentration index,relative water content,stomatal conductance,leaf temperature,water loss in detached leaves,cuticular wax content,proline content,total phenolic compounds,and total soluble sugars.The ranking of cultivars regarding drought tolerance was established based on a two-level clustering approach,primarily relying on chlorophyll concentration index and secondarily on water status traits.Results showed significant genotypic variations for all measured traits,except phenolic compounds content.Correlations between structural and functional traits have pinpointed blade thickness and trichome hair length as the key indicators of fig drought tolerance,owing to their involvement in maintaining chlorophyll content under water stress conditions.The extent of the variations shows that fig leaf is endowed with a wide structural and functional diversity,which can give to the species potential for resilience to various environmental stresses,including drought.Among the cultivars assessed,two exotic varieties,“Kadota”and“Royal Blanck”,as well as four local cultivars,namely,“Ferqouch Jmel”,“El Qoti Labied”,“Hamra”and“Fassi”showed the highest drought plasticity level.展开更多
This paper presents a construction of infinite classes of binary and p-ary hyperbent functions of polynomial trace form,based on finding a zero of a Kloosterman sum.
A large class of linear structural functions(LSF) satisfying the condition of correlational immunity of order one are constructed by studying the linear structural Boolean functions. With these new founded functions, ...A large class of linear structural functions(LSF) satisfying the condition of correlational immunity of order one are constructed by studying the linear structural Boolean functions. With these new founded functions, the known enumeration bounds of correlation-immune functions of order one are greatly improved. In fact, the best, up to now, lower bound is found.展开更多
Several new results on the non-existence of some generalized bent functions are proved by using properties of the decomposition law of primes in cyclotomic fields and properties of the solutions of some special Diopha...Several new results on the non-existence of some generalized bent functions are proved by using properties of the decomposition law of primes in cyclotomic fields and properties of the solutions of some special Diophantine equations.展开更多
In this paper, the ranks of a special family of Maiorana-McFarland bent functions are discussed. The upper and lower bounds of the ranks are given and those bent functions whose ranks achieve these bounds are determin...In this paper, the ranks of a special family of Maiorana-McFarland bent functions are discussed. The upper and lower bounds of the ranks are given and those bent functions whose ranks achieve these bounds are determined. As a consequence, the inequivalence of some bent functions are derived. Furthermore, the ranks of the functions of this family are calculated when t 6.展开更多
First, this paper discusses and sums up some properties of a pair of functions p（x）, q（x） that makes （y ＋ 1）p（x） ＋ yq（x） into a bent function. Then it discusses the properties of bent functions. Also, the ...First, this paper discusses and sums up some properties of a pair of functions p（x）, q（x） that makes （y ＋ 1）p（x） ＋ yq（x） into a bent function. Then it discusses the properties of bent functions. Also, the upper and lower bounds of the number of bent functions on GF（2）2k are discussed.展开更多
Two new results on the nonexistence of generalized bent functions are presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations, an...Two new results on the nonexistence of generalized bent functions are presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations, and examples satisfying our results are given.展开更多
A new result on the nonexistence of generalized bent functions is presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations. At the...A new result on the nonexistence of generalized bent functions is presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations. At the same time,a method is given which can be used to simplify the known results. Then we give the bounds and the meaning in algebraic number theory of the parameters in our results.展开更多
We will give the definition of the linear kernel of boolean functions and prove that, by a reversible linear transformation, any linear structure boolean function can be transformed into a boolean function which is li...We will give the definition of the linear kernel of boolean functions and prove that, by a reversible linear transformation, any linear structure boolean function can be transformed into a boolean function which is linear to some variables, is non-relative to some variables and is of non-linear structure to other variables; any Partially-Bent Function can be transformed into a boolean function which is linear to some variables, is nonrelativeto some variables ans is bent to other variables. We will also discuss the Walsh Spectral Characterization of Partially-Bent Functions.展开更多
Let f( x1, x2, …, xn) be a Boolean bent function with n variables. The mutual information between the output variable and m linearly independent affine functions with respect to x1, x2, …, xn is studied. The results...Let f( x1, x2, …, xn) be a Boolean bent function with n variables. The mutual information between the output variable and m linearly independent affine functions with respect to x1, x2, …, xn is studied. The results show that the mutual information depends mainly on m and n, but little on the structure of function f.展开更多
The aim of this study is the investigation of the impact of stress of Portuguese subjects in situations of economic insufficiency and unemployment on executive function and quality of life and the coping strategies an...The aim of this study is the investigation of the impact of stress of Portuguese subjects in situations of economic insufficiency and unemployment on executive function and quality of life and the coping strategies and resilience skills used. The sample consists of 41 participants. The psychometric instruments used are validated for Portuguese population, measure (perceived) stress, coping, material deprivation, resilience and quality of life, defined by World Health Organization. Executive function has been evaluated through performances at Stroop and Berg tasks. It has been concluded that, in this population, resilience skills and active coping strategies are positively correlated with quality of life. Quality of life is negatively correlated with material deprivation. Active coping strategies are supported by adequate executive function, which neurobiological substrate is dorso-lateral prefrontal cortex. Not active coping strategies correlate negatively with cognitive flexibility, suggesting the presence of a deficit at infero-lateral prefrontal cortex.展开更多
文摘Bastd on the relationship between nonlinearity and resiliency of amulti-output function, we present a method for constructing noninterseeling linear codes frompacking design. Through these linear codes, we obtain n-variable, m-output, t-resilient functionswith very high nonlinearity. Their nonlinearities are currently the best results for most of cases.
基金Supported by State Key Laboratory of InformationSecurity Opening Foundation(01-02) the Doctorate Foundation ofInstitute of Information Engineering (YP20014401)HenanInno-vation Project for University Prominent Research Talents(2003KJCX008)
文摘In this paper, the definition of multl-output partially Bent functions is presented and some properties are discussed. Then the relationship between multi-output partially Bent functions and multi-output Bent functions is given in Theorem 4, which includes Walsh spectrum expression and function expression. This shows that multi-output partially Bent functions and multi-output Bent functions can define each other in principle. So we obtain the general method to construct multi-output partially Bent functions from multi-output Bent functions.
基金The Starting Research Projects for Young Teachers of Southwest Jiaotong University (No.2007Q090)
文摘Based on the theory of quadratic forms over finite fields, a new construction of semi-bent and bent functions is presented. The proposed construction has a cascaded characteristic. Some previously known constructions of semi-bent and bent functions are special cases of the new construction.
文摘Generalized Bent function and generalized Bent function sequences are introduced in this paper.The main performance or these sequences used as SW/SFH(Short Wave/Slow Frequency Hopping) code are studied. And the hardware circuit and the soflware program flow chart of the SW/SFH PN code generator are also given,which is based on generalized Bent function sequence generator by using a single chip mlcrocomputer.
基金Supported by the National Natura1 Science Founda—tion of China(60373087,60473023,66973034)the National High-Technology Research and Development Plan of China(2002AA41051)the Ph D Programs Foundation of Ministry of Education of China(20020486046)
文摘By the relationship between the first linear spectra of a function at partialpoints and the Hamming weights of the sub-functions,and by the Hamming weight of homogenousBoolean function,it is proved that there exist no homogeneous bent functions ofdegree in in n=2mvariables for m>3.
基金Supported by the National Natural Science Foundation of China (60773002)the National High Technology Research and Development Program of China (863 Program) (2007AA01Z472)
文摘A class of semi-bent functions with an even number of variables is constructed by using the values of Kloosterman sums.These semi-bent functions are Boolean functions with four trace terms.Moreover,it is shown that the algebraic degrees of the new semi-bent functions attain the maximum values.
基金Supported by the National Natural Science Foundations of China （No. 60773003, 60970120, 60903180）, the Natural Science Basic Research Plan in Shanx/Province of China （No. S JOB -ZTI4 ）, and the Fundamental Research Funds For the Central Universities and the 111 Project （ No. B08038 ）.
文摘The main results in this paper are to construct two classes of plateaued functions with desirable cryptographic properties. By using the Maiorana-McFarland construction, a class of highly nonlinear resilient plateaued functions satisfying the propagation criterion has been obtained. Johansson,s et al＇ s construction is modified slightly to obtain highly nonlinear multi-output resilient plateaued functions.
文摘This study was carried out to assess plasticity to drought of 30 adult fig cultivars,based on a screening of leaf structural and functional traits under sustained deficit irrigation,corresponding to 60%of crop evapotranspiration.All trees,three per cultivar,are planted in an ex-situ collection in Sais plain,northern Morocco.The measurements concerned leaf area,blade thickness,trichomes density,trichome hair length,stomatal density,stomatal dimensions,stomatal area index,chlorophyll concentration index,relative water content,stomatal conductance,leaf temperature,water loss in detached leaves,cuticular wax content,proline content,total phenolic compounds,and total soluble sugars.The ranking of cultivars regarding drought tolerance was established based on a two-level clustering approach,primarily relying on chlorophyll concentration index and secondarily on water status traits.Results showed significant genotypic variations for all measured traits,except phenolic compounds content.Correlations between structural and functional traits have pinpointed blade thickness and trichome hair length as the key indicators of fig drought tolerance,owing to their involvement in maintaining chlorophyll content under water stress conditions.The extent of the variations shows that fig leaf is endowed with a wide structural and functional diversity,which can give to the species potential for resilience to various environmental stresses,including drought.Among the cultivars assessed,two exotic varieties,“Kadota”and“Royal Blanck”,as well as four local cultivars,namely,“Ferqouch Jmel”,“El Qoti Labied”,“Hamra”and“Fassi”showed the highest drought plasticity level.
基金supported by National Natural Science Foundation of China (Grant Nos. 10971250 and 10990011)
文摘This paper presents a construction of infinite classes of binary and p-ary hyperbent functions of polynomial trace form,based on finding a zero of a Kloosterman sum.
文摘A large class of linear structural functions(LSF) satisfying the condition of correlational immunity of order one are constructed by studying the linear structural Boolean functions. With these new founded functions, the known enumeration bounds of correlation-immune functions of order one are greatly improved. In fact, the best, up to now, lower bound is found.
文摘Several new results on the non-existence of some generalized bent functions are proved by using properties of the decomposition law of primes in cyclotomic fields and properties of the solutions of some special Diophantine equations.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10571005, 60473019)863 Project (Grant No. 2006AA01Z434)NKBRPC (Grant No. 2004CB318000)
文摘In this paper, the ranks of a special family of Maiorana-McFarland bent functions are discussed. The upper and lower bounds of the ranks are given and those bent functions whose ranks achieve these bounds are determined. As a consequence, the inequivalence of some bent functions are derived. Furthermore, the ranks of the functions of this family are calculated when t 6.
基金Returned Overseas Student,Foundation of Shanxi Province of China and by Fund of Nanjing University of Information Science and Technology
文摘First, this paper discusses and sums up some properties of a pair of functions p（x）, q（x） that makes （y ＋ 1）p（x） ＋ yq（x） into a bent function. Then it discusses the properties of bent functions. Also, the upper and lower bounds of the number of bent functions on GF（2）2k are discussed.
基金Supported by National Natural Science Foundation of China （Grant Nos. 10771100, 10971250）
文摘Two new results on the nonexistence of generalized bent functions are presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations, and examples satisfying our results are given.
基金This work was supported by the National Fundamental Science Research Grant of China and the State Key Laboratory on Information Security.
文摘Several new results on non-existence of generalized bent functions are presented by using the class group of related imaginary abelian number fields.
基金supported by National Natural Science Foundation of China (Grant Nos.10771100,10971250)
文摘A new result on the nonexistence of generalized bent functions is presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations. At the same time,a method is given which can be used to simplify the known results. Then we give the bounds and the meaning in algebraic number theory of the parameters in our results.
文摘We will give the definition of the linear kernel of boolean functions and prove that, by a reversible linear transformation, any linear structure boolean function can be transformed into a boolean function which is linear to some variables, is non-relative to some variables and is of non-linear structure to other variables; any Partially-Bent Function can be transformed into a boolean function which is linear to some variables, is nonrelativeto some variables ans is bent to other variables. We will also discuss the Walsh Spectral Characterization of Partially-Bent Functions.
文摘Let f( x1, x2, …, xn) be a Boolean bent function with n variables. The mutual information between the output variable and m linearly independent affine functions with respect to x1, x2, …, xn is studied. The results show that the mutual information depends mainly on m and n, but little on the structure of function f.
文摘The aim of this study is the investigation of the impact of stress of Portuguese subjects in situations of economic insufficiency and unemployment on executive function and quality of life and the coping strategies and resilience skills used. The sample consists of 41 participants. The psychometric instruments used are validated for Portuguese population, measure (perceived) stress, coping, material deprivation, resilience and quality of life, defined by World Health Organization. Executive function has been evaluated through performances at Stroop and Berg tasks. It has been concluded that, in this population, resilience skills and active coping strategies are positively correlated with quality of life. Quality of life is negatively correlated with material deprivation. Active coping strategies are supported by adequate executive function, which neurobiological substrate is dorso-lateral prefrontal cortex. Not active coping strategies correlate negatively with cognitive flexibility, suggesting the presence of a deficit at infero-lateral prefrontal cortex.
