Public quadratic polynomial-tuples for efficient signature-verification and message-encryption
Lecture Notes in Computer Science on Advances in Cryptology-EUROCRYPT'88
The Security of Hidden Field Equations (HFE)
CT-RSA 2001 Proceedings of the 2001 Conference on Topics in Cryptology: The Cryptographer's Track at RSA
Cryptanalysis of the HFE Public Key Cryptosystem by Relinearization
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
C*-+ and HM: Variations Around Two Schemes of T. Matsumoto and H. Imai
ASIACRYPT '98 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
Kipnis-Shamir Attack on HFE Revisited
Information Security and Cryptology
ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
Algebraic Attack on HFE Revisited
ISC '08 Proceedings of the 11th international conference on Information Security
Square-Vinegar Signature Scheme
PQCrypto '08 Proceedings of the 2nd International Workshop on Post-Quantum Cryptography
MXL2: Solving Polynomial Equations over GF(2) Using an Improved Mutant Strategy
PQCrypto '08 Proceedings of the 2nd International Workshop on Post-Quantum Cryptography
Square, a New Multivariate Encryption Scheme
CT-RSA '09 Proceedings of the The Cryptographers' Track at the RSA Conference 2009 on Topics in Cryptology
Cryptanalysis of the Square Cryptosystems
ASIACRYPT '09 Proceedings of the 15th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
EUROCRYPT'96 Proceedings of the 15th annual international conference on Theory and application of cryptographic techniques
An efficient provable distinguisher for HFE
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part II
Rainbow, a new multivariable polynomial signature scheme
ACNS'05 Proceedings of the Third international conference on Applied Cryptography and Network Security
Inoculating multivariate schemes against differential attacks
PKC'06 Proceedings of the 9th international conference on Theory and Practice of Public-Key Cryptography
Ring signature scheme based on multivariate public key cryptosystems
Computers & Mathematics with Applications
Roots of square: cryptanalysis of double-layer square and square+
PQCrypto'11 Proceedings of the 4th international conference on Post-Quantum Cryptography
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This paper discusses two encryption schemes to fix the Square scheme. Square+ uses the Plus modification of appending randomly chosen polynomials. Double-Layer Square uses a construction similar to some signature schemes, splitting the variables into two layers, one of which depends on the other.