2020International Journal of Computing Science and MathematicsRequires access

McEliece cryptosystem: simulation and security vulnerabilities

Appala Naidu Tentu, Ajeet Singh, Rakesh Kumar, Allu Swamy Naidu

Open publisher page 1 citations

Abstract

While symmetric key cryptosystems utilise single private key at both ends for encryption and decryption purposes and this mentioned scenario gives advantages of better speed-up as compare to public key cryptosystems. Still, security is a challenge while performing compatibly efficient key distribution and secure private data transfer among entities in an untrusted environment. McEliece cryptosystem, designed in 1978, is a public key based cryptosystem whose security is based on some unknown natured error-correcting codes. This paper gives state-of-the-art detailed overview on this cryptosystem, its component-wise algorithmic description and implementation. Various attacks on McEliece cryptosystem are discussed separately. The experimental results employing Goppa codes are also presented in the paper where the simulations are performed on various extension degrees. Based on the simulations performed, we concluded the results along with the various issues faced while implementation.

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What this paper is about

While symmetric key cryptosystems utilise single private key at both ends for encryption and decryption purposes and this mentioned scenario gives advantages of better speed-up as compare to public key cryptosystems. Still, security is a challenge while performing compatibly efficient key distribution and secure private data transfer among entities in an untrusted environment. McEliece cryptosystem, designed in 1978, is a public key based cryptosystem whose security is based on some unknown natured error-correcting codes. This paper gives state-of-the-art detailed overview on this cryptosystem, its component-wise algorithmic description and implementation. Various attacks on McEliece cryptosystem are discussed separately. The experimental results employing Goppa codes are also presented in the paper where the simulations are performed on various extension degrees. Based on the simulations performed, we concluded the results along with the various issues faced while implementation.

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Available abstract

While symmetric key cryptosystems utilise single private key at both ends for encryption and decryption purposes and this mentioned scenario gives advantages of better speed-up as compare to public key cryptosystems. Still, security is a challenge while performing compatibly efficient key distribution and secure private data transfer among entities in an untrusted environment. McEliece cryptosystem, designed in 1978, is a public key based cryptosystem whose security is based on some unknown natured error-correcting codes. This paper gives state-of-the-art detailed overview on this cryptosystem, its component-wise algorithmic description and implementation. Various attacks on McEliece cryptosystem are discussed separately. The experimental results employing Goppa codes are also presented in the paper where the simulations are performed on various extension degrees. Based on the simulations performed, we concluded the results along with the various issues faced while implementation.

Key concepts: McEliece cryptosystem, Cryptosystem, Hybrid cryptosystem, Computer science, Key (lock), Encryption, Public-key cryptography, Goldwasser–Micali cryptosystem

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