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feat: Scalar type for finite fields #9

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Sep 10, 2024
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feat: Scalar type for finite fields #9

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7 changes: 5 additions & 2 deletions src/lib.rs
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Original file line number Diff line number Diff line change
Expand Up @@ -411,11 +411,14 @@ pub trait Field: EuclideanDomain + MultiplicativeAbelianGroup {}
/// # Properties
/// - The number of elements is always a prime power p^n
pub trait FiniteField: Field {
///allos for an arbitrary size representation without specificing type
type ScalarType: Clone + PartialOrd + Zero + One + Debug;

/// Returns the characteristic of the field.
fn characteristic() -> u64;
fn characteristic() -> Self::ScalarType;

/// Returns the number of elements in the field.
fn order() -> u64;
fn order() -> Self::ScalarType;
}

/// Represents an Ordered Field, a field with a total order compatible with its operations.
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