Master'sOpen Access

The mceliece cryptosystem with array codes

2008
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Advisor: Doç. Dr. Refik Keskin

Abstract (EN)

As we live in the information age, coding is used in order to protect or correct the messages in the transferring (via internet, mobile phones, banking, etc.) or the storing (CD,etc.) processes. So, linear codes are important in the transferring or the storing. Due to richness of their structure array codes which are linear are also an important codes. However, the information is then transferred into the source more securely by increasing the error correction capability with array codes.This thesis consists of six chapters. In the first chapter, some basic definitions of abstract algebra are given.In the second chapter, cryptology and the process of some classical cryptosystems are discussed.In the third chapter, some basic definitions and theorems associated with coding theory is given. However, some basic definitions and theorems associated with the algebraic structure and decoding of linear codes are given.In fourth chapter, the definitions of array codes over finite field are discussed. Moreover, the process of array codes is given.In the fifth chapter, the McEliece cryptosystem with array codes is given and their applications to the array codes are investigated.Key Words: Linear codes, array codes, McEliece cryptosystemIn the sixth and the last chapter, the conclusion and the future works are given.

Author

Dr. Vedat Şiap

How to Cite

Vedat Şiap (Master Thesis). The mceliece cryptosystem with array codes, 2008, Sakarya University, Matematik Bölümü.

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