Struct Gf2NumericAxisN 

pub struct Gf2NumericAxisN<const BYTES: usize>;

GF(2) arithmetic over N-byte operands — bitwise XOR / AND.

Each byte position is independently a GF(2)-element under bitwise XOR (addition) and AND (multiplication). Per-byte distributivity / commutativity / GF(2) field properties hold.

Trait Implementations

impl<const BYTES: usize> AxisExtension for Gf2NumericAxisN<BYTES>

const AXIS_ADDRESS: &'static str = <Gf2NumericAxisN<BYTES> as RingAxis>::AXIS_ADDRESS

ADR-017 content address of this axis trait. The SDK macro derives this from the trait name and method signatures.

const MAX_OUTPUT_BYTES: usize = <Gf2NumericAxisN<BYTES> as RingAxis>::MAX_OUTPUT_BYTES

Maximum bytes any kernel of this axis returns.

fn dispatch_kernel( kernel_id: u32, input: &[u8], out: &mut [u8], ) -> Result<usize, ShapeViolation>

Dispatch the kernel identified by kernel_id against the evaluated input bytes. The implementation copies the kernel’s output into out and returns the written length.

impl<const BYTES: usize> Clone for Gf2NumericAxisN<BYTES>

fn clone(&self) -> Gf2NumericAxisN<BYTES>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<const BYTES: usize> Debug for Gf2NumericAxisN<BYTES>

fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<const BYTES: usize> Default for Gf2NumericAxisN<BYTES>

fn default() -> Gf2NumericAxisN<BYTES>

Returns the “default value” for a type.

impl<const BYTES: usize> RingAxis for Gf2NumericAxisN<BYTES>

const AXIS_ADDRESS: &'static str = "https://uor.foundation/axis/RingAxis/Gf2"

ADR-017 content address.

const MAX_OUTPUT_BYTES: usize = BYTES

Operand byte-width (overridden per impl).

fn add(input: &[u8], out: &mut [u8]) -> Result<usize, ShapeViolation>

Ring addition. Input a || b (2N bytes).

fn mul(input: &[u8], out: &mut [u8]) -> Result<usize, ShapeViolation>

Ring multiplication. Input a || b (2N bytes).

impl<const BYTES: usize> SubstrateTermBody for Gf2NumericAxisN<BYTES>

fn body_arena() -> &'static [Term]

The Term arena the kernel decomposes to. Empty slice signals a primitive-fast-path axis whose body the implementation may evaluate through dispatch_kernel directly per ADR-055’s optional fast-path.

impl<const BYTES: usize> Copy for Gf2NumericAxisN<BYTES>