【信息技术】【含源码】GF(13n)域数据的加密与解密
本文为印度ROURKELA国家技术研究所（作者：ABHISEK PUJARI）的学士论文，共63页。
密码学是利用数学来加密和解密数据的科学。密码学使您能够存储敏感信息或通过不安全的网络（如Internet）传输数据，这样，除了预期的接收者之外，任何人都无法读取它。加密强度是以恢复明文所需的时间和资源来衡量的。强密码学的工具是密码文本，如果没有适当的译码工具是很难破译的。
密码算法或密码，是加密和解密过程中使用的数学函数。加密算法与**（一个词、数字或短语）结合使用，以实现对明文进行加密。相同的明文使用不同的**对不同的密码文本进行加密。加密数据的安全性完全取决于两个因素：加密算法的强度和**的保密性。在这个信息时代，对安全信息传输和数据安全的依赖性越来越高，对一种强有力的数据安全方法的需求一直是迫切的。
在这个项目中，我们试图在GF(13)通过加密和解密来设计一种新的数据安全方法。使用GF(13)的原因是GF(2)已经进行了大量的研究，而GF(13)领域仍然有大部分未被触及。因此，设计出既安全又快速的通用技术仍然存在很大的提升空间，这将再次降低未知代理进行匿名解密的可能性。从军事应用、网络安全、无线数据传输等方面来说，该技术在各个领域都有着广泛的应用，这将是数据安全的未来方向。
Cryptography is the science of usingmathematics to encrypt and decrypt data. Cryptography enables you to storesensitive information or transmit it across insecure networks (like theInternet) so that it cannot be read by anyone except the intended recipient. Cryptographicstrength is measured in the time and resources it would require to recover theplaintext. The result of strong cryptography is cipher text that is verydifficult to decipher without possession of the appropriate decoding tool. Acryptographic algorithm, or cipher, is a mathematical function used in theencryption and decryption process. A cryptographic algorithm works incombination with a key — a word, number, or phrase — to encrypt the plaintext.The same plaintext encrypts to different cipher text with different keys. Thesecurity of encrypted data is entirely dependent on two things: the strength ofthe cryptographic algorithm and the secrecy of the key. With growing dependencieson secure information transfer and data security in this information age therequirement for a strong method of securing data is always in demand. In thisproject , we have tried to device a new means of securing data by encryptionand decryption in GF(13). The reason for using GF(13) is that much research hasbeen done on GF(2) but the GF(13) field is still mostly untouched. Hence thereis much scope for designing versatile techniques which will be both secure andfaster. This will again reduce the probability of anonymous decryption byundesirable agents. Such technique can be the future of data security with wideapplication in every field starting with military application, internetsecurity, wireless data transfer and many more.
1 引言
2 密码学的数学表达
3 加密
4 解密
5 结论
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