Computation of superspecial Howe curves of genus 3
In the below codes, algorithms (Methods 1, 2 and 3) proposed in Section 5 of arXiv: 2209.02926 are implemented on Magma.
Each of the following codes computes a single example of superspecial Howe curves of genus 3.
- Code for hyperelliptic case: ver. 1
Each of the below codes enumerates superspecial Howe curves of genus 3.
- Hyperelliptic case:
Method 1 (ver. 1) with isomorphism classification over finite fields F_{p^2}.
Method 1 (ver. 1) with isomorphism classification over an algebraic closure.
Method 2 (ver. 1) with isomorphism classification over finite fields F_{p^2}.
Method 2 (ver. 1) with isomorphism classification over an algebraic closure.