(R; S)-MODUL DAN PENERAPANNYA PADA KRIPTOGRAFI

YUNIDA ANISA RAHAYU, NIM.: 16610025 (2020) (R; S)-MODUL DAN PENERAPANNYA PADA KRIPTOGRAFI. Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.

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Abstract

Many study in structural algebra conclude that R-module is a generalization of group and ring. As in group and ring, R-submodule, R-module homomorphism, as well as R-module homomorphism fundamental theorem can be defined from R-module. This study will focus on the concept of (R; S)-bimodule and (R; S)- module as the generalization of (R; S)-bimodule. Let R and S be rings, an abelian group M over + is called (R; S)-module if rms is in M for all r 2 R, m 2 M and s 2 S, and satisfy distributive and associative law. Structure (R; S) is a bimodule if there is exist central idempotent on ring R and S. Implementation of (R; S)-module on secret key exchange is successfully done by some modifications on Diffie-Hellman key exchange protocol

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