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14 results on '"McGuire, Gary"'

1. Solving a -bit DLP on a Desktop Computer

Author

Göloğlu, Faruk, Granger, Robert, McGuire, Gary, Zumbrägel, Jens, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Kobsa, Alfred, Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Lange, Tanja, editor, Lauter, Kristin, editor, and Lisoněk, Petr, editor

Published
2014
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2. On the Function Field Sieve and the Impact of Higher Splitting Probabilities : Application to Discrete Logarithms in

Author

Göloğlu, Faruk, Granger, Robert, McGuire, Gary, Zumbrägel, Jens, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Sudan, Madhu, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Vardi, Moshe Y., Series editor, Weikum, Gerhard, Series editor, Canetti, Ran, editor, and Garay, Juan A., editor

Published
2013
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3. Ternary Kloosterman Sums Modulo 18 Using Stickelberger’s Theorem

Author

Göloğlu, Faruk, McGuire, Gary, Moloney, Richard, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Carlet, Claude, editor, and Pott, Alexander, editor

Published
2010
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4. A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem

Author

Baldwin, Brian, Moloney, Richard, Byrne, Andrew, McGuire, Gary, Marnane, William P., Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Sudan, Madhu, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Vardi, Moshe Y., Series editor, Weikum, Gerhard, Series editor, Becker, Jürgen, editor, Woods, Roger, editor, Athanas, Peter, editor, and Morgan, Fearghal, editor

Published
2009
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5. On the Walsh Spectrum of a New APN Function

Author

Bracken, Carl, Byrne, Eimear, Markin, Nadya, McGuire, Gary, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, and Galbraith, Steven D., editor

Published
2007
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6. Determining the Nonlinearity of a New Family of APN Functions

Author

Bracken, Carl, Byrne, Eimear, Markin, Nadya, McGuire, Gary, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Boztaş, Serdar, editor, and Lu, Hsiao-Feng (Francis), editor

Published
2007
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7. Spectra of Boolean Functions, Subspaces of Matrices, and Going Up Versus Going Down

Author

McGuire, Gary, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Boztaş, Serdar, editor, and Lu, Hsiao-Feng (Francis), editor

Published
2007
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14. On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in $\mathbb{F}_{2^{1971}}$ and $\mathbb{F}_{2^{3164}}$

Author

G\\\'olo\u{g}lu, Faruk, Granger, Robert, McGuire, Gary, Zumbrägel, Jens, Canetti, Ran, and Garay, Juan A.

Subjects
Function field sieve, Discrete logarithm problem
Abstract

In this paper we propose a binary field variant of the Joux-Lercier medium-sized Function Field Sieve, which results not only in complexities as low as $L_{q^n}(1/3,(4/9)1/3)$ for computing arbitrary logarithms, but also in an heuristic polynomial time algorithm for finding the discrete logarithms of degree one and two elements when the field has a subfield of an appropriate size. To illustrate the efficiency of the method, we have successfully solved the DLP in the finite fields with $2^{1971}$ and $2^{3164}$ elements, setting a record for binary fields.

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