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Pulsed vector atomic magnetometer using an alternating fast-rotating field. [PDF]
Nat CommunWang T +5 more
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A multi-modal multi-branch framework for retinal vessel segmentation using ultra-widefield fundus photographs. [PDF]
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Unraveling the future of genomics: CRISPR, single-cell omics, and the applications in cancer and immunology. [PDF]
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Montgomery Algorithm over a Prime Field
Chinese Journal of Electronics, 2019New formulae for point addition and point doubling on elliptic curves over prime fields are presented. Based on these formulae, an improved Montgomery algorithm is proposed.
Wei Yu, Kunpeng Wang, Bao Li, Song Tian
semanticscholar +3 more sources
International journal of circuit theory and applications, 2023
Elliptic curve point multiplication is the main primitive required in almost all security schemes using elliptic curve cryptography (ECC). It is the leading computationally intensive operation that sets the overall performance of the associated ...
Khalid Javeed, Ali El-Moursy
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Elliptic curve point multiplication is the main primitive required in almost all security schemes using elliptic curve cryptography (ECC). It is the leading computationally intensive operation that sets the overall performance of the associated ...
Khalid Javeed, Ali El-Moursy
semanticscholar +1 more source
Automatic Test Case Generation for Prime Field Elliptic Curve Cryptographic Circuits
International Colloquium on Signal Processing and Its Applications, 2021Elliptic curve is a major area of research due to its application in elliptic curve cryptography. Due to their small key sizes, they offer the twofold advantage of reduced storage and transmission requirements. This also results in faster execution times.
Krishn Kumar Gupt +3 more
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ECC Coprocessor Over a NIST Prime Field Using Fast Partial Montgomery Reduction
IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2021Montgomery reduction is a well-known optimization technique for modular reduction over prime fields. However, it has rarely been used for national institute of standards and technology (NIST) prime fields, because the special structure of NIST primes ...
Piljoo Choi, Mun-Kyu Lee, Dong Kyue Kim
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International journal of circuit theory and applications, 2020
Elliptic curve cryptography (ECC) schemes are widely adopted for the digital signature applications due to their key sizes, hardware resources, and higher security per bit than Rivest‐Shamir‐Adleman (RSA).
Thirumalesu Kudithi, Sakthivel R
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Elliptic curve cryptography (ECC) schemes are widely adopted for the digital signature applications due to their key sizes, hardware resources, and higher security per bit than Rivest‐Shamir‐Adleman (RSA).
Thirumalesu Kudithi, Sakthivel R
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Prime Segments of Skew Fields [PDF]
Canadian Journal of Mathematics, 1995 AbstractAn additive subgroupPof a skew fieldFis called aprimeofFifPdoes not contain the identity, but if the productxyof two elementsxandyinFis contained inP, thenxoryis inP. A prime segment ofFis given by two neighbouring primesP1⊃P2; such a segment is invariant, simple, or exceptional depending on whetherA(P1) = {a∈P1|P1aP1⊂P1} equalsP1,P2or lies ...
M. Schröder, H. H. Brungs
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