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math.AG2007★ 2 cited
Quartic equations and 2-division on elliptic curves
George H. Hitching
Let K be a field of characteristic different from 2 and C an elliptic curve over K given by a Weierstrass equation. To divide an element of the group C by 2, one must solve a certa…
math.AG2007
Decoding of scroll codes
George H. Hitching, Trygve Johnsen
We define and study a class of codes obtained from scrolls over curves of any genus over finite fields. These codes generalize Goppa codes in a natural way, and the orthogonal comp…