比利时vs摩洛哥足彩
,
university of california san diego
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awm colloquium
mingjie chen
university of birmingham
orienteering with one endomorphism
abstract:
supersingular isogeny-based cryptosystems are strong contenders for post-quantum cryptography standardization. such cryptosystems rely on the hardness of path-finding on supersingular isogeny graphs. the path-finding problem is known to reduce to the endomorphism ring problem. can path-finding be reduced to knowing just one endomorphism? in this talk, we give explicit classical and quantum algorithms for path-finding to an initial curve using the knowledge of one endomorphism. an endomorphism gives an orientation of a supersingular elliptic curve. we use the theory of oriented supersingular isogeny graphs and algorithms for taking ascending/descending/
april 28, 2022
12:00 pm
https://ucsd.zoom.
zoom id: 977 3877 1432
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