My field of study is Cryptography and computer sercurity.Cryptography solves problems that involve secrecy, authentication, integrity, and dishonest people.The research activities on the area range from providing firm foundations to the construction of such methods to providing actual constructions for specific needs. Correspondingly, research in Cryptography varies from very abstract (or theoretical) to very applied (or concrete).
My study field of cryptography is quite broad, Cryptography is the science of writing in secret code and is an ancient art; In data and telecommunications, cryptography is necessary when communicating over any untrusted medium, which includes just about any network, particularly the Internet.It includes cryptographic algorithms,applied mathematics and computing complexity on cryptographic algorithms.It also includes cpryptographic protocols and e-commerce's security. The cryptographic algorithms includes Public-Key Cryptography and Symmetric Cryptography.
Computational Complexity Theory is a central field of Theoretical Computer Science, with a remarkable list of celebrated achievements as well as a very vibrant present research activity. The field is concerned with the study of the intrinsic complexity of computational tasks.The applied mathematics in cryptography is mainly consisting of the study of prime factorization, Finite Field,Elliptic Curve and so on...And the cryptographic protocols is concered about Digital Signatures, ZERO-KNOWLEDGE PROOFS,Secret Sharing,SECURE ELECTIONS and so on...And the applied cryptography to E-commerce provide digital Payment mechanisms control functions such as authentication, delegation, authori sation, accounting and revocation.
我学习和研究的范围是暗号理论和情报安全,以及他们在现实中的应用. 暗号学是一门古老的科学,它的应用包含了加密プライバシ,认证,信息数据的完整和防止被不诚实的人们欺骗.在这方面的研究,从对比上来说,可以是很抽象的,纯理论性的,也可以是很具体的,解决应用问题的.
我要学习的暗号理论和情报安全的内容很广泛,特别是当你的通信在公开的,不安全的上进行的medium,channel上时候,尤其是现在的internet,暗号技术在情报通信和data保护中很重要. 暗号理论和情报安全包含了很多东西,其中从基础的方面来说,必须应用数学,各种数论算法和计算的复杂性必须进行全面的学习.
计算的复杂性是计算机科学中具有中心地位的方面,它关注于在计算任务内部的复杂性,这个在暗号技术的实现中十分重要. 关于暗号理论中的应用数学主要是素因子的分解,hashu关数(ハッシュ関数),有限体,群论,数论和代数学等等. 其中暗号可以分为共同键暗号和公开键暗号,由暗号理论可以引申出很多暗号protocol,可以应用在电子商务的安全方面,如电子署名,认证, デジタルタイムスタンプ ,电子money等等.
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Study Project
I plan to begin my Master Degree study in cryptography at XX University. I will be supervised by Prof. XX.
Ever since I was in elementary school,middle school and high school,I was very interested in mathematics and took part in some national mathematics competitions,and got some prizes in the competitions.I a During these years' study at Beijing Technology Institute, I have taken some courses about cryptography and information security. And for me, the applied mathematics and its apllication in cryptography is so fascinating and chanllenging,so I made up my mind to devote myself into cryptography studying. Prof. xx is quite famous in cryptography research,I have read some of his papers,I so admired his knowledge in cryptography.So I wish I could have a chance to take master study under his supervision.
There is a wide range of fascinating questions in studying cryptography. I investigate two important subjects of cryptography: data encryption and message authentication. The basic information theoretic and computational security of modern cryptographic systems, either in private key or public key environment, are analyzed. We will also tackle the fascinating field of quantum cryptography. The course is self-contained and all necessary mathematical background will be explicitely covered. I want to possess a great ability in cryptogrpahy researching in Japan's study.
I have made a plan for studying in Japan,If I get the government scholarship,I will go to Japan in this October. There will be half a year before entering Kyushu University as a formal student.So I think I will stay in Prof. XX's lab and being
a research student. I want to learn some complexity theory, mathematics theory such as Computational number theory,Algorithmic Algebra,Algebraic function fields over finite fields and the group thoery.I just want to enhance my theory mathematics knowledge during the half a year,and build a strong foundation and background for future studying in cryptography.
If I enter the university,for the first year of master degree study,I will take some course on computing algorithm and cryptography.I will study cryptographic algorithm such as Elliptic Curve Cryptography, Digital signatures with encryption, Random and Pseudo-Random sequence generation, Authentication and key exchange,key escrow,Zero-Knowledge proofs of identity.And for the second year,I want to begin with some cryptographic research in Prof. XX's lab. I want to publish some paper on the correlative magazine.In the second year,I will major in cryptographic application,for example the e-commerce's security network and OS security. I also want to research about quantum cryptography,
我打算去XX大学的system情报科学研究院,开始我的修士学位的学习,我将在XX教授的指导下学习暗号理论.我讲在XX研究室里的同学们一起努力学习.
早在我小学,中学和高中的时候,我就对数学十分感兴趣,我在那个时候参加了很多全国性的数学比赛,得过一下奖项.进入大学后,由于我们学校主要从事暗号和情报安全方面的教学和研究,我在大学期间学了一些关于暗号理论和情报安全的课程,我对和数学联系很紧密的暗号理论十分感兴趣,应用数学和它在暗号理论的应用对我来说很奥妙和吸引人.我决定投身到暗号理论和应用的学习和研究中.XX教授是一个在暗号理论研究方面很出名,很有成就的学者,我看过他的一些论文,在中国一些研究密码的学者也常常提起他,我很佩服他的才能和知识,所以我决定到他的研究室,在他的指导下进行暗号理论的学习和研究.
对于暗号理论的学习来说,有很多方面奇妙的问题,我主要想学习暗号理论的两个重要的问题,一个是data的暗号化和情报认证.现代暗号系统的基本情报理论和计算上的安全我都将进行学习.包括共同键暗号,公开键暗号. 我还将对迷人的量子暗号领域进行学习.对于暗号理论的学习,这个需要强大的数学基础作为前提,为了获得足够的研究基础,我将对必要的数学课程进行全面具体的学习.
我已经制定了一个在日本的学习计划.
如果我顺利获得文部省奖学金的话,我将于今年10月份去日本,进入XX研究室.在成为正式的大学院生之前,可能需要在XX研究室当半年的研究生.在这半年里,我将系统地加深学习一些必要的数学知识,比如计算复杂性理论,计算性数论算法,群论,算法的代数学等等.我希望通过这半年的学习可以大大提高我的数学理论能力,为以后的暗号理论的学习打下很好的基础.
当我正式进入大学院,成为院生的时候,在修士学习的第一年中,我学习一些算法研究和暗号理论的课程,我将学习一些比较难的暗号算法,比如椭圆曲线暗号,我还将学习电子署名,擬似乱数,電子透かし,认证,键管理,键回复,键预托和zero知识证明等等. 在修士学习的第二年,我希望在XX教授的指导下进行暗号理论应用的研究,在进行研究的过程中,我将尽力多点在相关的杂志上发表论文.
在第二年中,我将主要进行暗号应用方面的学习和研究,特别是在电子商务方面的应用.另外我还想学习network安全和OS安全,对于chaos暗号和量子暗号,我也将进行系统的学习,
在休息日有空的时候,我想学习日本的文化,比如剑道,空手道和茶道等等.