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{{short description|Cryptographic protocol designed to resist quantum computer attacks}} ...t">{{cite web|url=https://www.cnet.com/au/news/chrome-updated-so-tomorrows-quantum-computers-cant-crack-todays-encryption|title=Chrome: Stop future computers ...

{{Short description|Post-quantum digital signature scheme}} ...tivariate equations with the goal of achieving [[Post-quantum cryptography|quantum resistance]]. ...

In [[hash-based cryptography]], the '''Merkle signature scheme''' is a [[Digital signature|digital signa ...s. This makes the Merkle signature scheme very adjustable and resistant to quantum computer-based attacks. The Merkle signature is a ''one time signature'' wi ...

...[[computational number theory]] and have been applied in [[elliptic-curve cryptography]]. Their vertices represent [[supersingular elliptic curve]]s over [[finite ...variant of supersingular isogeny key exchange was broken in 2022 using non-quantum methods.{{r|goodin}} ...

...]]. Ring learning with errors based digital signatures are among the post quantum signatures with the smallest public key and signature sizes ...ternet.<ref name=":2" /><ref>{{Cite journal|title = Efficient Networks for Quantum Factoring|journal = Physical Review A|date = 1996|issn = 1050-2947|pages = ...

| fields = [[Mathematics]] [[Computer Science]] [[Cryptography]] ...th/faculty/|url-status=live}}</ref> Her research focuses on [[post-quantum cryptography]], and the applied algebra. ...

In [[cryptography]], the '''Niederreiter cryptosystem''' is a variation of the [[McEliece cry {{Cryptography navbox | public-key}} ...

...n as '''Boneh&ndash;Lynn&ndash;Shacham'''<ref name=BLS2004/> (BLS), is a [[cryptography|cryptographic]] [[signature scheme]] which allows a user to verify that a s The scheme uses a [[Pairing#Pairings in cryptography|bilinear pairing]] <math>e: G_1\times G_2\to G_T</math>, where <math>G_1, G ...

...at are used in [[lattice-based cryptography]] constructions. Lattice-based cryptography began in 1996 from a seminal work by [[Miklós Ajtai]]<ref name="Ajtai, Mikl ...blems that are hard to be solved for some randomly selected instances. For cryptography applications, worst case complexity is not sufficient, and we need to guara ...

...ficulty of solving certain mathematical problems involving [[lattice-based cryptography|lattices]]. Unlike older lattice based cryptographic algorithms, the [[rin ...these three classically hard problems would be insecure. This public key cryptography is used today to secure Internet websites, protect computer login informati ...

{{short description|Computational problem possibly useful for post-quantum cryptography}} ...currently used in cryptography are at risk of attack if sufficiently large quantum computers can ever be built, so resistant problems are sought. ...

{{short description|Mathematical problem in cryptography}} ...Oded|s2cid = 207156623|arxiv = 2401.03703}}</ref> and thus to be useful in cryptography. ...

{{Short description|Concept in cryptography}} ...urity of [[hash function]]s. It is of interest as a type of [[post-quantum cryptography]]. ...

...]]. It assumes that the quantum memory device of an attacker ([[Adversary (cryptography)|adversary]]) trying to break the protocol is imperfect (noisy). ...on cannot intercept any information about the long key. This is known as [[quantum key distribution]] (QKD). ...

...based constructions appear to be resistant to attack by both classical and quantum computers. Furthermore, many lattice-based constructions are considered to ...unced the Module-Lattice-Based Digital Signature Standard for post-quantum cryptography.<ref>{{Cite web |date=August 2024 |title=Module-Lattice-Based Digital Signa ...

In [[cryptography]], the '''Fiat–Shamir heuristic''' is a technique for taking an interactive ...2=Mark|title=Advances in Cryptology – CRYPTO 2019 |chapter=Revisiting Post-quantum Fiat-Shamir |volume=11693 |pages=326–355 |date=2019 |doi=10.1007/978-3-030- ...

{{short description|Post-quantum cryptographic algorithm}} ...rl=https://arstechnica.com/information-technology/2022/08/sike-once-a-post-quantum-encryption-contender-is-koed-in-nist-smackdown/ |access-date=}}</ref> ...

...but also in other areas. In particular, they have a significant place in [[cryptography]]. Micciancio defined a generalization of cyclic lattices as ideal lattices Ideal lattices also form the basis for quantum computer attack resistant cryptography based on the Ring Learning with Errors.<ref>{{Cite book |date = 2010|pages ...

{{Short description|Crucial concept of quantum information}} {{Quantum mechanics}} ...

...mmunication. Binary Goppa codes have interesting properties suitable for [[cryptography]] in [[McEliece cryptosystem|McEliece-like cryptosystems]] and similar setu ...ry matrix of full rank), the binary Goppa codes are used in several [[post-quantum]] [[cryptosystem]]s, notably [[McEliece cryptosystem]] and [[Niederreiter c ...