Defense Date

3-12-2007

Graduation Date

Spring 2007

Availability

Immediate Access

Submission Type

thesis

Degree Name

MS

Department

Computational Mathematics

School

McAnulty College and Graduate School of Liberal Arts

Committee Chair

Patrick Juola

Committee Member

John C. Kern

Keywords

Elgamal, Mental POker, RSA

Abstract

Cryptosystems are one of the most important parts of secure online poker card games. However, there is no research comparing the RSA Cryptosystem (RC) and Elgamal Cryptosystem (EC) for mental poker card games. This paper compares the RSA Cryptosystem and Elgamal Cryptosystem implementations of mental poker card games using distributed key generation schemes. Each implementation is based on a joint encryption/decryption of individual cards. Both implementations use shared private key encryption/decryption schemes and neither uses a trusted third party (TTP). The comparison criteria will be concentrated on the security and computational complexity of the game, collusions among the players and the debate between the discrete logarithm problem (DLP) and the factoring problem (FP) for the encryption/decryption schemes. Under these criteria, the comparison results demonstrate that the Elgamal Cryptosystem has better efficiency and effectiveness than RSA for mental poker card games.

Format

PDF

Language

English

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