Modifikasi Algoritma Kriptografi Hill Chiper dengan Matriks Generalisasi Bilanga Fibonacci dalam Penyandian Pesan

Husni Fitroti, Mamika Ujianita Romdhini, Ni Wayan Switrayni
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Abstract

Hill Cipher cryptographic algorithm is a technique of massage encoding by implementing a matrix of order n*n as a key matrix. The key matrix is a matrix that has a multiplicative inverse. The security of messages measured by the number of processes in encoding. More and more processes in the encoding will lead to the longer time required.  So that the massage will be safer. The purpose of this research is to modify the Hill Cipher cryptographic algorithm by using the matrix of  Fibonacci numbers generalization whose degree-p and rank-n Qn,p. The Matrix Qn,p is a matrix of order(p+1)*(p+1) and it will be the key matrix in the Hill Cipher cryptographic algorithm.This research showed that any matrix of Fibonacci number generalization Qn,p with p and n are positive integers that be used as a key matrix in the Hill Cipher algorithm. The modification of the Hill Cipher cryptographic algorithm has done with modifying the keys by making the degree (p) and rank (n) of Qn,p as the keys that used in the encryption and decryption process of data (message).
希尔·齐珀密码算法与信息编码中的斐波那契矩阵的修正
希尔密码学算法是一种通过实现n*n阶矩阵作为密钥矩阵的按摩编码技术。关键矩阵是一个有乘法逆矩阵的矩阵。用编码过程的数量来衡量消息的安全性。编码过程越多,所需的时间就越长。这样按摩会更安全。本研究的目的是利用阶为-p,秩为-n的Fibonacci数泛化矩阵Qn,p,对Hill Cipher密码算法进行改进。矩阵Qn,p是一个(p+1)*(p+1)阶的矩阵,它将是Hill Cipher加密算法中的密钥矩阵。研究表明,Fibonacci数泛化Qn,p的任意矩阵p和n都是正整数,可以作为Hill密码算法的密钥矩阵。对Hill Cipher加密算法的修改是通过将Qn,p的度数(p)和秩(n)作为数据(消息)加解密过程中使用的密钥来修改密钥。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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