ElGamal as an asymmetric key cryptographysystem and Data Encryption Standard (DES) as a symmetrickey cryptography system, both of algorithms will becompared using the time complexity analysis and computersimulation. The result of time analysis shows a dif erentcomplexity for both algorithms, there is quadraticcomplexity for ElGamal Algorithm and Linear Complexityfor DES algorithm. Input that is used by ElGamal algorithmis the private key, while for DES algorithm is the plaintext'ssize. Based on

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... result of simulation using a computer program, it shows a significant timing dif erences, ElGamal's time execution is longer than DES. This iscaused by dif erences of arithmetic operations that is usedby each algorithms.