Knowledge of exponent assumption
WebNov 9, 2024 · They also come with much simpler cryptographic assumptions, avoiding the need for elliptic curves, pairings and the knowledge-of-exponent assumption and instead relying purely on hashes and information theory; this also means that they are secure even against attackers with quantum computers. WebAug 15, 2004 · The assumption can be seen as a plausible strengthening of the related knowledge of exponent assumptions [2]. Because our result is a characterization of …
Knowledge of exponent assumption
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WebFeb 3, 2024 · The basic reason why creating a proof is so hard is the fact that what was a single binary logic gate in the original computation turns into an operation that must be cryptographically processed... WebApr 26, 2024 · Getting back to your protocol, then: it is believed to be sound, but only under the KEA assumption (tautologically). This is a weird and not well understood assumption. …
WebAug 11, 2024 · When an object of the type X is produced, the assumption states that whoever produced it must know a corresponding witness of the type W. The knowledge of exponent assumption is an example of this, where X corresponds to pairs of group elements, and W is an exponent.
WebKnowledge-of-exponent assumptions (KEAs) are a somewhat controversial but nevertheless commonly used type of cryptographic assumptions. While traditional cryptographic … WebAssumption 1 The Strong Generalized Knowledge-of-Exponent Assumption (SGKEA) is as fol-lows: Let G be a group of prime order q, g be a generator of G, and k ≈log 2 q be the security parameter. Let A be a polynomial time (in k) …
WebAug 5, 2024 · Knowledge of Exponent Assumption (KEA). KEA is a white-box assumption, and is not falsifiable (thus a stronger assumption than what we have reviewed thus far). KEA says that for an adversary given a generator g g of a group G G and random element X \in G X ∈ G such that X = g^x X = gx for a random x, then if the adversary outputs a tuple
WebJul 15, 2024 · This is a considerable improvement on SiGamal whose IND-CPA security relies on new assumptions. We then introduce a “knowledge of Exponent” type … ferme husson wisembachWebApr 7, 2016 · 18. One of the links in the comments points to this paper, which has a very extensive list of various hardness assumptions used in cryptography. At the end of this … deleting from a binary search treeWebof this report is to provide an exhaustive overview of every computational assumption that has been used in public key cryptography. Although originally only a handful of assumptions were used, recent years have witnessed the introduction of a myriad of assumptions. Due to this exponential growth, the MAYA working ferme humbertoisWebOur new knowledge-of-exponent assumption may be of independent interest. We prove this assumption in the generic group model. Keywords Statistical Hiding Security Parameter Pseudorandom Function Cryptology ePrint Archive Common Reference String These keywords were added by machine and not by the authors. ferme humannWebApr 12, 2024 · Naïve Bayes (NB) classification performance degrades if the conditional independence assumption is not satisfied or if the conditional probability estimate is not realistic due to the attributes of correlation and scarce data, respectively. Many works address these two problems, but few works tackle them simultaneously. Existing … deleting from a dictionary pythonWebKnowledge assumptions and extractable functions. Damg˚ard [Dam92] proposes an alternative approach to knowledge extraction in the form of the knowledge of exponent assumption (KEA). The assumption es-sentially states that it is possible to extract the secret value xfrom any program that, given two random deleting from binary search treeWebThe Knowledge-of-Exponent Assumption is as follows: Let g be a generator of a prime order group hgi. k = log hgi is the security parameter. For any probabilistic polynomial-time (PPT) algorithm A that takes as input g and ga, where a is chosen from [0, hgi −1] uniformly deleting from a doubly linked list