[PDF] Top 20 Quantum Cryptanalysis of NTRU

... a Quantum Computer is able to attempt against NTRUEncrpyt (as implemented by the current NTRU ...the NTRU library uses; it would be easy to modify the library to foil this approach (for example, both ... See full document

... Abstract. Very recently, a key exchange scheme called HK17 was sub- mitted to NIST as a candidate of the standard of post-quantum cryptog- raphy. The HK17 scheme employs some hypercomplex numbers as the basic ... See full document

... of quantum particles, such as electrons and photons, can be described by a quantum state vector  , a weighted sum which in the case of two possible locations equals  0   1 , where  and  are two ... See full document

... A multivariate public key cryptosystem (MPKC) is a cryptosystem whose public key is a set of multivariate quadratic forms over a finite field. It is known that the problem of finding a solution of a system of ... See full document

... on NTRU. By us- ing GPV’s construction, we can give a provably secure NTRU Signature scheme (NTRUSign), which is strongly existentially unforgeable under adaptive chosen-message attacks in the ... See full document

... efficient quantum algorithm for solving integer factorization and discrete logarithm, which indicates that both RSA and elliptic curve cryptosystems will not be secure anymore with availability of quantum ... See full document

... CHK + 17. Jung Hee Cheon, Kyoohyung Han, Jinsu Kim, Changmin Lee, and Yongha Son. A practical post-quantum public-key cryptosystem based on spLWE. In Seokhie Hong and Jong Hwan Park, editors, ICISC 16, volume ... See full document

... cryptanalytic quantum search algorithms is mainly inferred from query complexity which hides overhead induced by an ...Keywords Quantum circuit · Grover · Parallelization · Resource estimates · AES · ... See full document

... the quantum algorithm of Simon [41], like [32,33,39,11] that respectively analyze the security of 3-round Feistel schemes, the Even-Mansour construct, related-key attacks and quantumly break ...the quantum ... See full document

... against NTRU (attributed to Odlyzko in [15]), it was rather easy due to how close the near-collisions ...to cryptanalysis, which have already found important application to lattice problems ... See full document

... that quantum computers, when they become a reality, will render DH-type protocols ...the quantum computer is developed rapidly [18], leading to that quantum resistant key exchange protocols are ... See full document

... a quantum computer, the adversaries could make quantum queries on some superposition quantum states of the relevant cryptosystem, which is the so-called quantum-CPA setting ...of ... See full document

... large quantum computer. As of now, such quantum computers do not exist, but organisations such as NIST and the NSA are striving for cryptosystems resilient to quantum attacks to prepare for the time ... See full document

... classical cryptanalysis. Using Simon’s algorithm [Sim94] the complexity of quantum slide attacks on the alternate-key cipher with bit-wise additions was shown to be of O(n) in that ... See full document

... We can investigate possible tweaks that stop our attack, but this is trivial – the S-box should be applied to bytes that belong to different rows. Then in the internal differential characteristic each round can have 4 ... See full document

... such novel designs require third-party cryptanalysis in order to strengthen the trust in their security, or to learn how to improve for future designs. Zorro paved the way for interesting cryptanalytic results ... See full document

... leaky NTRU signature so that this particular instantiation of CVP-based signature scheme becomes zero-knowledge and secure against forgeries, based on the worst-case hardness of the ˜ O(N ... See full document

... of quantum computers are in a way that can process concurrently the qubits that are include infinitly ...of quantum mechanics theory ,a qubit can has zero state and one state concurrently , so it is ... See full document

... Ascon permutation in Section 3. In Section 4, we use similar algebraic prop- erties to construct a distinguisher based on cube testers. We also use cube-like techniques to obtain a key-recovery attack for a round-reduced ... See full document

... Cryptographers have been applying the latest attacks to already published or newly designed crypto algorithm. This paper includes the designing principles and need of lightweight ciphers. The papers summarise that design ... See full document