請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/51245
標題: | "p-向量, p-陣列與密碼協定" On p-vectors, p-arrays and cryptographic protocols |
作者: | Ricardo Pontaza 龐德沙 |
指導教授: | 陳君明(Jiun-Ming Chen) |
關鍵字: | 向量,陣列,密碼協定, array,vector,arithmetic function,algebra,ring,field,cryptography,public key,private key,lattice,encryption,decryption, |
出版年 : | 2016 |
學位: | 碩士 |
摘要: | This thesis introduces the concept of p-vectors and p-arrays, which are algebraic constructions based on multiplicative arithmetic functions and prime numbers. With these concepts we construct several algebraic structures which allows us also to make a proposal for a public key encryption protocol. This public key encryption protocol, which we call p-array public key encryption protocol is a public-private key encryption system that allows the users to encrypt and decrypt messages of vectorial structure whose components are non negative integers upperly bounded. Along this work we present several of the theorems and lemmas that allow us to make the proof of correctness of the aforedmentioned protocol, and also to discuss some of the attacks that could potentially provide information of the private key to anyone performing them on the proposed algorithm. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/51245 |
全文授權: | 有償授權 |
顯示於系所單位: | 數學系 |
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ntu-105-1.pdf 目前未授權公開取用 | 416.32 kB | Adobe PDF |
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