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A Summary of McEliece-Type Cryptosystems and their Security

A summary of McEliece-type cryptosystems and their security
Authors: Engelbert, D.; Overbeck, R.; Schmidt, A.;

A Summary of McEliece-Type Cryptosystems and their Security

Abstract

In this paper we give an overview of some of the cryptographic applications which were derived from the proposal of R. J. McEliece to use error correcting codes for cryptographic purposes. Code based cryptography is an interesting alternative to number theoretic cryptography. Many basic cryptographic functions like encryption, signing, hashing, etc. can be realized using code theoretic concepts. In this paper we briefly show how to correct errors in transmitted data by employing Goppa codes and describe possible applications to public key cryptography. The main focus of this paper is to provide detailed insight into the state of art of cryptanalysis of the McEliece cryptosystem and the effect on different cryptographic applications. We conclude, that for code based cryptography a public key of 88KB offers sufficient security for encryption, while we need a public key of at least 597KB for secure signing.

Country
Germany
Related Organizations
Keywords

goppa codes., Data encryption (aspects in computer science), Algebraic coding theory; cryptography (number-theoretic aspects), code based cryptography, mceliece cryptosystem,, public key cryptography, QA1-939, Cryptography, Goppa codes, Mathematics, public key cryptography,, code based cryptography,, Linear codes (general theory), McEliece cryptosystem

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
44
Top 10%
Top 10%
Top 10%
gold