Be bent on reform;Reform with keen determination

到中國譯典經(jīng)典版本中查找關(guān)于bent的最新解釋和例句人人摸人人做人人看。。。。

In chapter 3, we firstly discuss the equivalence of the known APN polynomialfunctions on binary field. Moreover, we present a new family of APN polynomialfunctions and analyze their bent property.

在第三章中又色又粗又长又黄的网站，首先討論了特征為2的域中已知的幾類APN多項式函數(shù)的等價性質(zhì)，接著給出了一類新的APN多項式函數(shù)久久99热精品成年动态图片，并進一步分析了它的bent屬性。

Another part of our work begins with definition of multioutput generalized bent functions. We show their spectral characteristics and give equivalence definition using generalized first order Chrestenson cyclic spectrum. Also we calculate rate of accordance between multioutput generalized bent functions and multioutput m-valued affine functions. Then we define multioutput m-valued perfect nonlinear functions and show relationship between them and multioutput generalized bent functions. Finally we give two ways of constructions of multioutput generalized bent functions.

第三章中首先給出了剩余類環(huán)上的多輸出廣義Bent函數(shù)的定義a一级爰做片免费观看，得到了多輸出廣義Bent函數(shù)的廣義一階Chrestenson譜特征啊啊啊啊啊好爽，然后計算了多輸出廣義Bent函數(shù)與多輸出m值仿射函數(shù)的符合率；接著定義了多輸出m值完全非線性函數(shù)91精品国产色综合久久不卡美美，討論了多輸出m值完全非線性函數(shù)與多輸出廣義Bent函數(shù)之間的關(guān)系欧美性爱成一北；最后給出了兩種構(gòu)造多輸出廣義Bent函數(shù)的方法。

A necessary and sufficient condition for a fx + t(y + g to be a bent function is disscussed,on which basis a necessary and sufficient condition for a function F = fix + tq + g to be a bent function is given when q is not a balanced-function by use of cyclic walsh spectrum and decomposition formula of walsh spectrum.

討論了形如fx+τ(y+g的布爾函數(shù)是Bent函數(shù)的充分必要條件伊人久久久久一级毛片，在此基礎(chǔ)上利用Bent函數(shù)的循環(huán)Walsh譜及譜分解式激情图片亚洲乱伦，進一步給出了當(dāng)q不是平衡函數(shù)時，形如F=fx+τ(yq+g布爾函數(shù)是Bent函數(shù)的充分必要條件国产精品特黄特粗又长视频。

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定義了有限域上邏輯函數(shù)的Chrestenson線性譜国产精品尤物视频，考察了新定義的Chrestenson線性譜和原來的Chrestenson循環(huán)譜的關(guān)系，并利用一組對偶基給出了有限域上邏輯函數(shù)的反演公式日韩A级毛片免费视频播放；給出了有限域上隨機變量聯(lián)合分布的分解式91在线免费精品，并利用隨機變量聯(lián)合分布的分解式對有限域上邏輯函數(shù)的密碼性質(zhì)進行了研究；給出了有限域上邏輯函數(shù)與相應(yīng)素域上向量邏輯函數(shù)的關(guān)系2021色色，探討了它們之間密碼性質(zhì)的聯(lián)系久久久久AAAA三级黄片AAA，如平衡性，相關(guān)免疫性久久久久久精品久久久一区，擴散性精品在线免费观看，線性結(jié)構(gòu)以及非線性度等；討論了有限域上邏輯函數(shù)各類線性結(jié)構(gòu)之間的關(guān)系欧美五区，并給出了任意點都是線性結(jié)構(gòu)的邏輯函數(shù)的全部構(gòu)造gg网站网站在线观看视频，由此引出了有限域上的"泛仿射函數(shù)"的概念；考察了有限域上邏輯函數(shù)的退化性與線性結(jié)構(gòu)的關(guān)系深夜福利在线视频、退化性與Chrestenson譜支集的關(guān)系日韩大陆一区二区三区在线观看；給出了有限域邏輯函數(shù)非線性度的定義，利用有限域上邏輯函數(shù)的非線性度與相應(yīng)素域上向量邏輯函數(shù)非線性度的關(guān)系黄色片mmm,com，考察了有限域上邏輯函數(shù)的非線性度與線性結(jié)構(gòu)的關(guān)系十八禁网址污；利用有限域上邏輯函數(shù)與相應(yīng)素域上向量邏輯函數(shù)的關(guān)系，揭示了有限域上的廣義Bent函數(shù)與相應(yīng)素域上的廣義Bent函數(shù)的關(guān)系，以及有限域上的完全非線性函數(shù)與相應(yīng)素域上向量廣義Bent函數(shù)之間的關(guān)系A片欧美在线播放免费网站；給出了任意有限域上任意n元完全非線性函數(shù)存在性與否的完整證明黑人交换亚洲女人配乱吟粗大，并利用有限域上平衡的p-多項式的性質(zhì)給出了有限域上完全非線性函數(shù)的一些基本構(gòu)造方法。

The upper-bound counts and the lower-bound counts of Bent functions are proposed by researching the Hadamard matrix, which decrease the searching space of Bent functions.

通過正規(guī)Hadamard矩陣研究給出了GF(2~n)上Bent函數(shù)計數(shù)的上下界一级色逼影视，降低了Bent函數(shù)搜索的空間国产精品久久毛片AI换脸。

When the information of the bent function exceeds the lower bound, we can find it.

在對bent函數(shù)的研究過程中，我們希望找到一個下界538国产精品一区二区免费视频，當(dāng)我們知道bent函數(shù)的信息量超過這個下界時免费一级播放特黄绿相片，我們就能得到這個函數(shù)。

In this dissertation, we mainly use character matrix to research cryptology characteristic of Boolean function and m-ary logic function.Firstly, by using properties of character matrix's row and column we get an equivalence condition of bent function. Then we have an entirely construct method of 4 variable bent function.

本文利用特征矩陣研究了密碼學(xué)中邏輯函數(shù)的相關(guān)問題免费黄色网站啊啊啊，主要做的工作有：首先黄色视屏国产免费，根據(jù)Bent函數(shù)的自相關(guān)特征，利用特征矩陣給出了Bent函數(shù)的一個新的等價判別條件jizz在线，并由此得到了4元Bent函數(shù)的一個完全構(gòu)造方法亚洲一级毛片精品网站。

In this paper,we discuss the Walsh spectral characteristics of partially-bent functions over ring Znq(q=p1*p2,p1、p2 are primes),propose two new concepts―nonzero factor variant-permanently linear structure and zero divisor variant―permanently linear structure,classify the variant-permanently linear structure of partially-bent functions and show their correlation,obtain several new equivalent conditions of partially-bent functions on ring Znq,finally,point out the correlations among balance, linear structure and points taking nonzero spectrum.

本文在環(huán)Znq上討論了部分bent函數(shù)的譜特征(q=p1*p2国产交换配乱婬视频，p1天堂久久人妻av，p2是素數(shù))，得到了Znq上部分bent函數(shù)的幾個新的刻劃免费C片在线网站，揭示了部分bent函數(shù)的平衡性欧美爆乳XXXX、線性結(jié)構(gòu)點及非零譜值點之間的相互關(guān)系，并對部分bent函數(shù)的恒變線性結(jié)構(gòu)點進行了分類久久精品国内，指出了它們之間的相互關(guān)系黄色小视频1024你懂的，提出了零因子恒變線性結(jié)構(gòu)點和非零因子恒變線性結(jié)構(gòu)兩個新概念。

This paper generalizes the conclusion of Perfect nonlinear S-boxes by Nyberg(1991), and introduces the conception of inverse regular generalized vector Bent function. It shows that for inverse regular generalized vector Bent function f with even variables, m is no more than half of?. It also shows that when the input dimension n is odd, the regular generalized vector Bent function and the inverse regular generalized vector Bent function do not exist. This may prevent the cryptology designer from seeking the inexistent function.

摘要該文完善并拓展了Nyberg(1991)的關(guān)于廣義向量Bent函數(shù)性質(zhì)的結(jié)論国产麻豆男女约爱网站，相應(yīng)于Nyberg給出的正則廣義向量Bent函數(shù)日韩精品牲交一区，提出了&負(fù)則的廣義向量Bent函數(shù)&的概念：得到有偶數(shù)個輸入的負(fù)則的廣義向量Bent函數(shù)輸出維數(shù)也不大于輸入維數(shù)的一半；證明了奇數(shù)個輸入的正則和負(fù)則的廣義向量Bent函數(shù)都不存在疯狂伦交成人网站视频，這些結(jié)果的給出97人人模人人爽人人喊免，可使密碼設(shè)計者避免一味去尋找某類不存在的函數(shù)。