On squares of cyclic codes

Autor: Cascudo, Ignacio

The square $C^{*2}$ of a linear error correcting code $C$ is the linear code spanned by the component-wise products of every pair of (non-necessarily distinct) words in $C$. Squares of codes have gained attention for several applications mainly in th

Externí odkaz: http://arxiv.org/abs/1703.01267

Squares of Random Linear Codes

Autor: Cascudo, Ignacio, Cramer, Ronald, Mirandola, Diego, Zémor, Gilles

Publikováno v: IEEE Transactions on Information Theory, vol. 61, no. 3, pp. 1159-1173, March 2015

Given a linear code $C$, one can define the $d$-th power of $C$ as the span of all componentwise products of $d$ elements of $C$. A power of $C$ may quickly fill the whole space. Our purpose is to answer the following question: does the square of a c

Externí odkaz: http://arxiv.org/abs/1407.0848

Vector Commitments over Rings and Compressed Σ -Protocols

Autor: Attema, Thomas, Cascudo, Ignacio, Cramer, Ronald, Damgård, Ivan, Escudero, Daniel

Publikováno v: Attema, T, Cascudo, I, Cramer, R, Damgård, I & Escudero, D 2022, Vector Commitments over Rings and Compressed Σ-Protocols . in E Kiltz & V Vaikuntanathan (eds), Theory of Cryptography-20th International Conference, TCC 2022, Proceedings . vol. Part 1, Springer, Lecture Notes in Computer Science, vol. 13747, pp. 173-202, 20th Theory of Cryptography Conference, TCC 2022, Chicago, United States, 07/11/2022 . https://doi.org/10.1007/978-3-031-22318-1_7

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=pure_au_____::69da04b2e7aaea0adaa15e83894b0cd8
https://pure.au.dk/portal/da/publications/vector-commitments-over-rings-and-compressed--protocols(754b38f9-b98a-457d-ad2f-a6ae391b7549).html

ALBATROSS: Publicly AttestabLe BATched Randomness Based On Secret Sharing

Autor: Cascudo, Ignacio, David, Bernardo

Publikováno v: Cascudo, I & David, B 2020, ALBATROSS: Publicly AttestabLe BATched Randomness Based On Secret Sharing . in S Moriai & H Wang (eds), ASIACRYPT 2020: Advances in Cryptology – ASIACRYPT 2020 . Springer, Lecture Notes in Computer Science, vol. 12493, pp. 311-341 . https://doi.org/10.1007/978-3-030-64840-4_11

In this paper we present ALBATROSS, a family of multiparty randomness generation protocols with guaranteed output delivery and public verification that allows to trade off corruption tolerance for a much improved amortized computational complexity. O

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2988::7aa072b8da6aa90f31a0d770f5eadd85
https://pure.itu.dk/portal/da/publications/980a6752-0f62-47cd-a2a5-36f2a9e93065

Efficient UC Commitment Extension with Homomorphism for Free (and Applications)

Autor: Cascudo, Ignacio, Damgård, Ivan, David, Bernardo, Döttling, Nico, Dowsley, Rafael, Giacomelli, Irene

Publikováno v: Cascudo, I, Damgård, I, David, B, Dowsley, R, Döttling, N & Giacomelli, I 2019, Efficient UC Commitment Extension with Homomorphism for Free (and Applications) . in S Galbraith & S Moriai (eds), Advances in Cryptology – ASIACRYPT 2019 : 25th International Conference on the Theory and Application of Cryptology and Information Security, Kobe, Japan, December 8–12, 2019, Proceedings, Part II . Springer, Lecture Notes in Computer Science, vol. 11922, pp. 606-635 . < https://eprint.iacr.org/2018/983.pdf >
Cascudo, I, Damgård, I, David, B, Döttling, N, Dowsley, R & Giacomelli, I 2019, Efficient UC Commitment Extension with Homomorphism for Free (and Applications) . in S D Galbraith & S Moriai (eds), Advances in Cryptology – ASIACRYPT 2019-25th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings . Springer, Lecture Notes in Computer Science, vol. 11922, pp. 606-635, 25th Annual International Conference on the Theory and Applications of Cryptology and Information Security, ASIACRYPT 2019, Kobe, Japan, 08/12/2019 . https://doi.org/10.1007/978-3-030-34621-8_22

Homomorphic universally composable (UC) commitments allow for the sender to reveal the result of additions and multiplications of values contained in commitments without revealing the values themselves while assuring the receiver of the correctness o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::d175aac4d00cd8da4c8e6e34370a4992
https://pure.itu.dk/portal/da/publications/8859ac92-add0-4819-9390-9ccf6fe26878