Floppy-size group signatures from lattices
WebNov 20, 2024 · In general, the group signature size increases the number of group members. However, the schemes are also proposed with the constant signature size. ... Floppy-Sized Group Signatures from Lattices ... Consider the polynomial ring \mathcal {R}_{q}=\mathbb {Z}_q/\langle \mathbf {x}^n+1\rangle for a prime q\equiv 5\text { mod }8. Elements in the ring are polynomials of degree at most n-1 with coefficients in \left[ -(q-1)/2,(q-1)/2\right] and operations between ring elements are done modulo q. Let \deg … See more ([29, Lemma 2.2]). Let \mathcal {R}_{q}=\mathbb {Z}_q[\mathbf {x}]/\langle \mathbf {x}^n+1\rangle where n>1 is a power of 2 and q is a prime congruent to 5\text { mod }8. This ring has exactly 2q^{n/2}-1 elements … See more (cf. [2, Lemma 1.5], [27, Lemma 4.4]). Let \mathbf {A}\in \mathbb {Z}^{n\times m} with 2^{11}< m and \mathbf {u}\in \mathbb {Z}^n_q. For \sigma … See more For \mathbf {a},\mathbf {b}\in \mathcal {R}_{q} it holds: \Vert \mathbf {a}\mathbf {b} \Vert _\infty \le \min \left\{ \Vert \mathbf {a} \Vert _\infty \Vert \mathbf {b} \Vert _1,(q-1)/2\right\} . … See more An integer lattice is an additive subgroup of \mathbb {Z}^n. Every lattice \varLambda is generated by a basis \mathbf {B}=\{\mathbf {b}_1,\ldots ,\mathbf {b}_k\}\in \mathbb {Z}^{n\times m}, where m is called … See more
Floppy-size group signatures from lattices
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WebIn this work, we introduce the first constant-size group signature from lattices, which means that the size of signatures produced by the scheme is independent of Nand only … Web1.3 Applications to Group Signatures and Credentials Group signatures [12] are schemes that allow members of a group to sign messages on behalf of the group without revealing their identity. In case of a dispute, the group manager can lift a signer’s anonymity and reveal his identity. Currently known group signatures based on lattice ...
WebJan 25, 2024 · To reduce potential damages caused by key exposure attacks, Song (CCS 2001) put forward the concept of forward-secure group signatures (FSGS). For the time being, all known secure FSGS schemes are based on number-theoretic assumptions, and are vulnerable against quantum computers. In this work, we construct the first lattice … WebJun 10, 2024 · We present an improved lattice-based group signature scheme whose parameter sizes and running times are independent of the group size. The signature …
WebFloppy-Sized Group Signatures from Lattices 165 The problem with this approach is that the Lyubashevsky-Neven vfi encryption scheme encrypts the full witness [S ; ¯b ; m¯ ; … WebThe signature size of our isogeny-based construction is an order of magnitude smaller than all previously known post-quantum group signatures (e.g., 6.6 KB for 64 members). In comparison, our lattice-based construction has a larger signature size (e.g., either 126 KB or 89 KB for 64 members depending on the satisfied security property).
WebJan 25, 2024 · This paper describes the first lattice-based group signature schemes where the signature and public key sizes are essentially logarithmic in N (for any fixed security level) and proves the security of the schemes in the random oracle model under the SIS and LWE assumptions. 135 PDF
WebJul 16, 2015 · I'd like to have you review my understanding/planning for SLOG size and clarify transaction group sizing: System: X8DTN+ / 2x Intel 5520 2.4Ghz / 72GB RAM … dark chocolate cherry hairWebMore precisely, signature size, signing and verification costs do not depend on number of time periods Tand other metrics are at most log-squared complexity in T. However, all these schemes are constructions based on number-theoretic ... We introduce the first forward-secure group signature scheme from lattices. The scheme works in Nakanishi ... bisecting line segment and anglesWebThis work presents the first lattice-based group signature scheme whose cryptographic artifacts are of size small enough to be usable in practice: for a group of \\(2^{25}\\) … dark chocolate cherry coffeeWebSep 30, 2024 · Published: November 2024. Abstract. We propose the first lattice-based dynamic group signature scheme achieving forward security. Our scheme is proven to be secure against framing attack, misidentification attack and preserves anonymity under the learning with errors ( L W E) and short integer solution ( S I S) assumptions in the … bisecting lines this old houseWebJan 7, 2024 · A New Constant-Size Group Signature Scheme From Lattices Abstract: A lattice-based group signature scheme (LGSS) is an active cryptographic primitive, … bisecting meaning in jrotcWebCecilia Boschini, Jan Camenisch, and Gregory Neven. 2024. Floppy-Sized Group Signatures from Lattices. In ACNS. 163--182. ... San Ling, Khoa Nguyen, and … bisecting vs parallelingWebJan 1, 2015 · In this paper, we present a simpler lattice-based group signature, which is more efficient by a O (\log N) factor in both the group public key and the signature size. We achieve this by using a new non-interactive zero-knowledge (NIZK) proof corresponding to a simple identity-encoding function. dark chocolate chess pie