836 citations
- Herzberg Institute of AstrophysicsCA19 papers
- Macquarie UniversityAU18 papers
- University of California, BerkeleyUS16 papers
- Centre for Quantum Computation and Communication TechnologyAU13 papers
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- University of TorontoCA11 papers
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5 papers · 1 filter
2- and 3-modular Lattice Wiretap Codes in Small Dimensions
Fuchun Lin, Frédérique Oggier, Patrick Solé
A recent line of work on lattice codes for Gaussian wiretap channels introduced a new lattice invariant called secrecy gain as a code design criterion which captures the confusion…
The -adic Shintani cocycle
G. Ander Steele
The Shintani cocycle on $\GL_n(\Q)$, as constructed by Hill, gives a cohomological interpretation of special values of zeta functions for totally real fields of degree . We give…
New techniques for computing the ideal class group and a system of fundamental units in number fields
Jean-François Biasse, Claus Fieker
We describe a new algorithm for computing the ideal class group, the regulator and a system of fundamental units in number fields under the generalized Riemann hypothesis. We use s…
Cubic Curves, Finite Geometry and Cryptography
A. A. Bruen, J. W. P. Hirschfeld, D. L. Wehlau
Some geometry on non-singular cubic curves, mainly over finite fields, is surveyed. Such a curve has 9,3,1 or 0 points of inflexion, and cubic curves are classified accordingly. Th…
Tabulation of cubic function fields via polynomial binary cubic forms
Pieter Rozenhart, Michael Jacobson, Renate Scheidler
We present a method for tabulating all cubic function fields over whose discriminant has either odd degree or even degree and the leading coefficient of …