Construction Method Of The Security Authentication Codes

Things that involve confidentiality are ubiquitous presence in society life. One of theuseful means to achieve the security purpose is the use of the technology of code, aimingto prevent the enemy’s destroy, regardless of the leaking of the real fact to the enemy.However, the majority of confidential things need the security. In this way, the securityand the confidentiality are the two inseperable sections of the cryptography. This paperuses asymmetrical orthogonal array, latin square and the association schemes of orthogonalarray to construct safety authentication codes, and some examples illustrate the applicationof these construction methods.Chapter1introduces the development and the current research status of orthogonalarrays and authentication codes, and contains basic concepts and main lemmas.Chapter2gives three methods of constructing security authentication codes, which in-clude asymmetrical orthogonal arrays method, latin square method and association schemesof orthogonal array method. In this paper the asymmetrical orthogonal array method isused to construct security authentication codes for the first time. For the method of usingn order latin square, both the probability of mimicry attack and the probability of sub-stitution attack are optimal when we take n1columns of safety authentication code.For the association schemes of orthogonal array method, we find the appropriate mappingthat ranks large numbers first or small numbers first to construct a security authenticationcodes by association schemes quickly. At last, we illustrate the application of the theoremswith examples.Chapter3puts forward some suggestions and a few unsolved problems.