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

Robert Granger, Thorsten Kleinjung, Arjen K. Lenstra, Benjamin Wesolowski, Jens Zumbrägel
2020 arXiv   pre-print
This paper reports on the 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  ... 
arXiv:2008.02717v1 fatcat:yk6xgbsua5gqlfb7hna55nr4bq

A survey of elliptic curves for proof systems [article]

Diego F. Aranha, Youssef El Housni, Aurore Guillevic
2022 IACR Cryptology ePrint Archive  
They used the BN curve defined over 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  ... 
dblp:journals/iacr/AranhaHG22 fatcat:xzwgcewdibehhbt2rprospha2a

Unleashing the power of semantic text analysis: a complex systems approach

Andrea Martini
2018
The name 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.  ... 
doi:10.5075/epfl-thesis-8473 fatcat:lw4fclsi4rfhhiwuawytxwx6sy

Microscopic theory and numerical simulation of quantum well solar cells

Urs Aeberhard, Bernd Witzigmann, Fritz Henneberger, Yasuhiko Arakawa, Marek Osinski
2010 Physics and Simulation of Optoelectronic Devices XVIII  
Return to Contents Conference 7597: Physics and Simulation 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.  ... 
doi:10.1117/12.845478 fatcat:vxfg7swg3bh7rixxoa6qyhhx2u