https://scholars.lib.ntu.edu.tw/handle/123456789/30925
標題: | p-向量, p-陣列與密碼協定 On p-vectors, p-arrays and cryptographic protocols |
作者: | 龐德沙 Pontaza, Ricardo |
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 | 公開日期: | 2016 | 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://ntur.lib.ntu.edu.tw//handle/246246/276799 | Rights: | 論文公開時間: 2016/3/8 論文使用權限: 同意有償授權(權利金給回饋本人) |
顯示於: | 數學系 |
檔案 | 描述 | 大小 | 格式 | |
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ntu-105-R03221027-1.pdf | 23.54 kB | Adobe PDF | 檢視/開啟 |
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