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- W4385654329 abstract "A recent area of interest in cryptography is recursive composition of proof systems. One of the approaches to make recursive composition efficient involves cycles of pairing-friendly elliptic curves of prime order. However, known constructions have very low embedding degrees. This entails large parameter sizes, which makes the overall system inefficient. In this paper, we explore 2-cycles composed of curves from families parameterized by polynomials, and show that such cycles do not exist unless a strong condition holds. As a consequence, we prove that no 2-cycles can arise from the known families, except for those cycles already known. Additionally, we show some general properties about cycles, and provide a detailed computation on the density of pairing-friendly cycles among all cycles." @default.
- W4385654329 created "2023-08-09" @default.
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- W4385654329 date "2023-01-01" @default.
- W4385654329 modified "2023-10-01" @default.
- W4385654329 title "Revisiting Cycles of Pairing-Friendly Elliptic Curves" @default.
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- W4385654329 doi "https://doi.org/10.1007/978-3-031-38545-2_1" @default.
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