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Poly-dragon: an efficient multivariate public key cryptosystem. (English) Zbl 1235.94051

Summary: We propose an efficient multivariate public key cryptosystem. Public key of our cryptosystem contains polynomials of total degree three in plaintext and ciphertext variables, two in plaintext variables and one in ciphertext variables. However, it is possible to reduce the public key size by writing it as two sets of quadratic multivariate polynomials. The complexity of encryption in our public key cryptosystem is \(O(n^3)\), where \(n\) is bit size, which is equivalent to other multivariate public key cryptosystems. For decryption we need only four exponentiations in the binary field. Our public key algorithm is bijective and can be used for encryption as well as for signatures.

MSC:

94A60 Cryptography
11T71 Algebraic coding theory; cryptography (number-theoretic aspects)
11T06 Polynomials over finite fields

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References:

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