3 citations · 8 across the 3 of their papers we have counts for
4 papers
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…
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…
Moduli of rank 4 symplectic bundles over a curve of genus 2
George H. Hitching
Let X be a complex projective curve which is smooth and irreducible of genus 2. The moduli space M_2 of semistable symplectic vector bundles of rank 4 over X is a variety of dimens…
A remark on subbundles of symplectic and orthogonal vector bundles over curves
George H. Hitching
We review the notions of symplectic and orthogonal vector bundles over curves, and the connection between principal parts and extensions of vector bundles. We give a criterion for…