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9. A Review of zk-SNARKs

Author

Chen, Thomas, Lu, Hui, Kunpittaya, Teeramet, and Luo, Alan

Subjects
Computer Science - Cryptography and Security
Abstract

A zk-SNARK is a protocol that lets one party, the prover, prove to another party, the verifier, that a statement about some privately-held information is true without revealing the information itself. This paper describes technical foundations, current applications, and some novel applications of zk-SNARKs. Regarding technical foundations, we go over the Quadratic Arithmetic Program reduction and the Pinocchio protocol. We then go over financial security applications like Zcash and Tornado Cash, and zk-Rollup applications like zkEVM and Darkforest. We propose novel zk-SNARK protocols for private auctions and decentralized card games on the blockchain, providing code for the proposed applications. We conclude by touching on promising zk-SNARK innovations, such as zk-STARKs.

Published
2022

49. The effects of shear deformation and rotary inertia on the electrical analogs of beams and plates for multimodal piezoelectric damping.

Author

Luo, Alan, Lossouarn, Boris, and Erturk, Alper

Subjects
*SHEAR (Mechanics), *STRUCTURAL dynamics, *ENERGY harvesting, *ELECTROMECHANICAL analogies
Abstract

Analogous electrical networks were previously derived from the Euler–Bernoulli and Kirchhoff–Love theories to represent beams and plates, respectively, for use in multimodal structural vibration damping. However, these networks do not account for shear deformations or rotary inertia, which can result in suboptimal vibration damping performance when used on moderately thick beams and plates. In this paper, we investigate the incorporation of shear deformation and rotary inertia using Timoshenko–Ehrenfest beam theory and Mindlin–Reissner plate theory to develop improved electrical networks that can more accurately represent thick beams and plates. Our findings suggest that the inclusion of shear deformation and rotary inertia can significantly improve the frequency coherence of the electrical networks and multimodal vibration damping for thicker structures. The electrical analogs presented here are of use for various applications, especially to conveniently design complex circuit topologies in fields spanning from vibration attenuation to energy harvesting. [ABSTRACT FROM AUTHOR]

Published
2024
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50. Manufacturing Materials Optimization Research at The REMADE Institute

Author

Rohatgi, Pradeep, Luo, Alan A., Azer, Magdi, Gaustad, Gabrielle, editor, Fleuriault, Camille, editor, Gökelma, Mertol, editor, Howarter, John A., editor, Kirchain, Randolph, editor, Ma, Kaka, editor, Meskers, Christina, editor, Neelameggham, Neale R., editor, Olivetti, Elsa, editor, Powell, Adam C., editor, Tesfaye, Fiseha, editor, Verhulst, Dirk, editor, and Zhang, Mingming, editor

Published
2019
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