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ANTS 2018

The Thirteenth Algorithmic Number Theory Symposium took place at the University of Wisconsin, Madison on July 16-20, 2018. The Invited speakers were: Jennifer Balakrishnan “Effective aspects of quadratic Chabauty” Jennifer explained Minhyong Kim’s non-abelian Chabauty framework to obtain an effective … Continue reading

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Tri-linear maps from elliptic curves and abelian surfaces

I spent the last week in beautiful Banff at the BIRS workshop on An Algebraic Approach to Multilinear Maps for Cryptography. The workshop participant photo is notable, as the age gap between the oldest and youngest person in the photo … Continue reading

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Eurocrypt 2018

This week Eurocrypt 2018 took place in Tel Aviv, in a hotel next to the marvellous beach. Despite the splendid weather and the tempting conference gift (a bath towel — that’s letting the fox into the hen house), there were … Continue reading

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114-bit ECDLP solved on a curve with automorphisms over a prime field

There was a new ECDLP record that I missed last year. There was a press release on August 23, 2017. Now there is more information. The details are published in the paper Solving 114-bit ECDLP for a Barreto-Naehrig Curve by … Continue reading

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Isogeny crypto at PQCrypto 2018

The PQ Crypto conference took place in sunny Fort Lauderdale, Florida in April 2018. It was extremely well attended (around 350 participants). The three plenary lectures were: Jean-Pierre Tillich, Attacks in code based cryptography: a survey, new results and open … Continue reading

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Cryptographic tri-linear maps

Ming-Deh Huang has posted on arxiv the paper Trilinear maps for cryptography that proposes a cryptographic tri-linear map based on etale cohomology of abelian surfaces. Achieving multilinear maps is a major open problem, and already going from bilinear maps (pairings) … Continue reading

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Various news, mostly about isogeny cryptography

1. The NIST Post-Quantum Cryptography standardisation process has begun. The Round 1 Submissions are here. Of particular interest to this blog is the SIKE proposal Supersingular Isogeny Key Encapsulation. The submitters of this proposal are David Jao, Reza Azarderakhsh, Matthew … Continue reading

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