Zobrazeno 1 - 10
of 200
pro vyhledávání: '"Binary fields"'
Publikováno v:
IEEE Transactions on Communications. 70:59-70
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4b42f336b2058480c160d67bc28f549
https://doi.org/10.1109/tcomm.2021.3125056
https://doi.org/10.1109/tcomm.2021.3125056
Autor:
Minjia Shi, Xiaoxiao Li
Publikováno v:
IEEE Communications Letters. 25:1048-1051
Trace codes over a cubic ring extension of the binary field are constructed by using a triple of simplicial complexes. A linear Gray map yields several infinite families of binary few-weight codes which can have as many as 9 weights. By equating two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9404a518ccbd9b4f825408841a37c331
https://doi.org/10.1109/lcomm.2020.3024907
https://doi.org/10.1109/lcomm.2020.3024907
Publikováno v:
Journal of Engineering. 26:45-64
This paper presents a point multiplication processor over the binary field GF (2233) with internal registers integrated within the point-addition architecture to enhance the Performance Index (PI) of scalar multiplication. The proposed design uses on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::276445d4f2280e736335e5199082d427
https://doi.org/10.31026/j.eng.2020.09.04
https://doi.org/10.31026/j.eng.2020.09.04
Publikováno v:
Chinese Journal of Electronics. 29:97-105
In an (hyper)elliptic curve cryptosystem, the most important operation or the most time-consuming operation is the divisor scalar multiplication which consists of a sequence of doubling (of divisor) and addition (of two divisors). Point halving algor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec757270da83abbef5b469e65ad2890c
https://doi.org/10.1049/cje.2019.10.005
https://doi.org/10.1049/cje.2019.10.005
Publikováno v:
Advances in Mathematics of Communications. 14:703-726
This paper presents a series of Montgomery scalar multiplication algorithms on general short Weierstrass curves over fields with characteristic greater than 3, which need only 12 field multiplications per scalar bit using 8 \begin{document}$ \sim $\e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b20b1f3b4394c62315c3910676574f02
https://doi.org/10.3934/amc.2020090
https://doi.org/10.3934/amc.2020090
Publikováno v:
Cryptography and Communications. 12:165-185
Involutions over finite fields are permutations whose compositional inverses are themselves. Involutions especially over $ \mathbb {F}_{q} $ with q is even have been used in many applications, including cryptography and coding theory. The explicit st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::140c7e89235695169fd5bd10118fd8c7
https://doi.org/10.1007/s12095-019-00386-2
https://doi.org/10.1007/s12095-019-00386-2
Publikováno v:
Cryptography and Communications. 12:127-146
In this paper, we introduce a new bordered construction for self-dual codes using group rings. We consider constructions over the binary field, the family of rings Rk and the ring $\mathbb {F}_{4}+u\mathbb {F}_{4}$. We use groups of order 4, 12 and 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3adc7f12ee83d4e7e5bada86211d1e99
https://doi.org/10.1007/s12095-019-00380-8
https://doi.org/10.1007/s12095-019-00380-8
Publikováno v:
IEEE Transactions on Information Theory. 65:4167-4179
For locally repairable codes (LRCs), Cadambe and Mazumdar derived the first field-dependent parameter bound, known as the C-M bound. However, the C-M bound depends on an undetermined parameter $ {k}^{( {q})}_{{\textbf {opt}}}( {n}, {d})$ . In this pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7b2a6d044da5ba0098da01eed4e1f96
https://doi.org/10.1109/tit.2019.2895315
https://doi.org/10.1109/tit.2019.2895315
Publikováno v:
CHES 2019 : International Conference on Cryptographic Hardware and Embedded Systems
CHES 2019 : International Conference on Cryptographic Hardware and Embedded Systems, Aug 2019, Atlanta, United States. pp.257-304, ⟨10.13154/tches.v2019.i3.257-304⟩
Transactions on Cryptographic Hardware and Embedded Systems, Vol 2019, Iss 3 (2019)
CHES 2019 : International Conference on Cryptographic Hardware and Embedded Systems, Aug 2019, Atlanta, United States. pp.257-304, ⟨10.13154/tches.v2019.i3.257-304⟩
Transactions on Cryptographic Hardware and Embedded Systems, Vol 2019, Iss 3 (2019)
In 2017, NIST shook the cryptographic world by starting a process for standardizing post-quantum cryptography. Sixty-four submissions have been considered for the first round of the on-going NIST Post-Quantum Cryptography (PQC) process. Multivariate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a8f759c7d132a15d9c8db9fff9a3a8b
https://doi.org/10.46586/tches.v2019.i3.257-304
https://doi.org/10.46586/tches.v2019.i3.257-304
Autor:
Bahattin Yildiz, Alexander Tylyshchak, Joe Gildea, Abidin Kaya, Adrian Korban, Steven T. Dougherty
Publikováno v:
Finite Fields and Their Applications. 57:108-127
We introduce a bordered construction over group rings for self-dual codes. We apply the constructions over the binary field and the ring F 2 + u F 2 , using groups of orders 9, 15, 21, 25, 27, 33 and 35 to find extremal binary self-dual codes of leng
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::125d8383722567a81f9669e4464cc39d
https://doi.org/10.1016/j.ffa.2019.02.004
https://doi.org/10.1016/j.ffa.2019.02.004