In this chapter, we propose a survey of identity-based identification and signature schemes using error correcting codes. We describe coding theory, its application to cryptography and the different identification and signature schemes using error correcting codes with their new improvements. We also present the first (and unique up to now) identity-based scheme (provably secure) not based on number theory or generic constructions. The scheme combines two well known code-based schemes: the signature scheme of Courtois, Finiasz and Sendrier and the zero-knowledge identification scheme of Stern (which may also be used for signature). The scheme inherits some of the characteristics of the previous schemes: it has a large public key of order 1MB and requires a certain number of exchange rounds. The scheme can also be used as signature but leads to a very large signature of size 1.5 MB. Eventually, we present schemes obtained from the generic construction.
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