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Paper 2014/057
Computing Discrete Logarithms in F_{3^{6*137}} and F_{3^{6*163}} using Magma
Gora Adj and Alfred Menezes and Thomaz Oliveira and Francisco Rodríguez-Henríquez
Abstract
We show that a Magma implementation of Joux's new L[1/4] algorithm can be used to compute discrete logarithms in the 1303-bit finite field F_{3^{6*137}} and the 1551-bit finite field F_{3^{6*163}} with very modest computational resources. Our F_{3^{6*137}} implementation was the first to illustrate the effectiveness of Joux's algorithm for computing discrete logarithms in small-characteristic finite fields that are not Kummer or twisted-Kummer extensions.
Metadata
- Available format(s)
- Category
- Public-key cryptography
- Publication info
- Preprint. MINOR revision.
- Keywords
- discrete logarithm problem
- Contact author(s)
- francisco @ cs cinvestav mx
- History
- 2014-11-12: last of 2 revisions
- 2014-01-26: received
- See all versions
- Short URL
- https://ia.cr/2014/057
- License
-
CC BY