Orienting supersingular isogeny graphs
Copyright policy )Orienting supersingular isogeny graphs
AbstractWe introduce a category of đť“ž-oriented supersingular elliptic curves and derive properties of the associated oriented and nonoriented â„“-isogeny supersingular isogeny graphs. As an application we introduce an oriented supersingular isogeny Diffie-Hellman protocol (OSIDH), analogous to the supersingular isogeny Diffie-Hellman (SIDH) protocol and generalizing the commutative supersingular isogeny Diffie-Hellman (CSIDH) protocol.
14h52, 14h10, Mathematics - Number Theory, 14k22, [MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT], QA1-939, FOS: Mathematics, 14k02, supersingular elliptic curves, 11g15, Number Theory (math.NT), 11g05, 11g07, 11t71, isogeny graphs, Mathematics, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
14h52, 14h10, Mathematics - Number Theory, 14k22, [MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT], QA1-939, FOS: Mathematics, 14k02, supersingular elliptic curves, 11g15, Number Theory (math.NT), 11g05, 11g07, 11t71, isogeny graphs, Mathematics, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
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