Abstract We compare the construction of 2D integrable models through two gauge field theories. The first one is 4D Chern–Simons (4D-CS) theory proposed by Costello and Yamazaki. second generalization Hitchin systems constructed means affine Higgs bundles (AHB). illustrate latter approach considering 1 + versions including Calogero–Moser theory, Landau–Lifshitz model elliptic Gaudin model.

Supersingular isogeny Diffie-Hellman (SIDH) is a proposal for a quantumresistant key exchange. The state-of-the-art implementation works entirely with Montgomery curves and basically can be divided into elliptic curve arithmetic and isogeny arithmetic. It is well known that twisted Edwards curves can provide a more efficient elliptic curve arithmetic. Therefore it was hinted by Costello and His...