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Computation of a 30750-Bit Binary Field Discrete Logarithm
[article]

2020
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arXiv
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pre-print

This paper reports on the

arXiv:2008.02717v1
fatcat:yk6xgbsua5gqlfb7hna55nr4bq
*computation**of**a**discrete**logarithm*in the finite*field*F_2^*30750*, breaking by*a*large margin the previous record, which was set in January 2014 by*a**computation*in F_2^9234. ...*discrete**logarithm*record for prime*fields*, set in*a**field**of**bit*-length 795, and demonstrates just how much easier the problem is for this level*of**computational*effort. ... Acknowledgements The authors would like to thank EPFL's Scientific IT and Application Support (SCITAS) as well as the School*of**Computer*and Communication Sciences (IC) for providing*computing*resources ...##
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A survey of elliptic curves for proof systems
[article]

2022
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IACR Cryptology ePrint Archive
*

They used the BN curve defined over

dblp:journals/iacr/AranhaHG22
fatcat:xzwgcewdibehhbt2rprospha2a
*a*256-*bit**field*suggested in [NNS10] (seed x = 1868033 3 ). ... 183*bits*, and*of*order 4r where r is*of*181*bits*such that 2 31 | r − 1. ... Meanwhile, the research in*discrete**logarithm**computation*in finite*fields*related to pairings also saw*a*tremendous decade, with*a*prequel in 2012 with*a**discrete**logarithm*record-breaking*computation*...##
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Unleashing the power of semantic text analysis: a complex systems approach

2018

The name

doi:10.5075/epfl-thesis-8473
fatcat:lw4fclsi4rfhhiwuawytxwx6sy
*bit*stems from the contraction*of**binary*digit, adopted for the ﬁrst time in the Shannon’s milestone paper [183] as the basic unit*of*information in*computing*and communication theory. ... The only inﬂuence*of*the base*of*the*logarithm*is on the units*of*I (x i ): e.g. , if the*logarithm*is to the base 2, then I (x i ) is expressed in*bits*, where log2 12 = 1bit. ...##
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Microscopic theory and numerical simulation of quantum well solar cells

2010
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Physics and Simulation of Optoelectronic Devices XVIII
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Return to Contents Conference 7597: Physics and Simulation

doi:10.1117/12.845478
fatcat:vxfg7swg3bh7rixxoa6qyhhx2u
*of*Optoelectronic Devices XVIII the only loss mechanism in the cell. ... This new approach to linear feedback shift register counting reduces the data path from the counter to the pixel register*of*the ADC from as many as 16-*bits*to*a*single*bit*. ... We then identified and evaluated the*binary*-number-line's statistical properties. ...