Cryptanalysis of a public key cryptosystem based on Diophantine equations via weighted LLL reduction
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Publication:1630230
DOI10.1007/s13160-018-0316-xzbMath1403.94052OpenAlexW2809011901WikidataQ129652947 ScholiaQ129652947MaRDI QIDQ1630230
Chengdong Tao, Momonari Kudo, Tsuyoshi Takagi, Shinya Okumura, Jintai Ding
Publication date: 7 December 2018
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13160-018-0316-x
Uses Software
Cites Work
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- Cryptanalysis of a public key system based on Diophantine equations
- A public key cryptosystem based on Diophantine equations of degree increasing type
- Hilbert's Tenth problem for function fields of varieties over number fields and \(p\)-adic fields
- Hilbert's tenth problem for fields of rational functions over finite fields
- On Lovász' lattice reduction and the nearest lattice point problem
- Factoring polynomials with rational coefficients
- The Magma algebra system. I: The user language
- Small solutions to polynomial equations, and low exponent RSA vulnerabilities
- Multivariate public key cryptosystems
- Mathematics of Public Key Cryptography
- A key exchange protocol based on Diophantine equations and S-integers
- Attacking (EC)DSA Given Only an Implicit Hint
- Algebraic Cryptanalysis of the PKC’2009 Algebraic Surface Cryptosystem
- On Ideal Lattices and Learning with Errors over Rings
- A Reduction Attack on Algebraic Surface Public-Key Cryptosystems
- Introduction to post-quantum cryptography
- An Algebraic Surface Cryptosystem
- Hilbert's Tenth Problem for Rational Function Fields in Characteristic 2
- A new public-key cipher system based upon the diophantine equations
- Simple Matrix Scheme for Encryption
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