Struct binius_field::aes_field::AESTowerField16b

pub struct AESTowerField16b(/* private fields */);

Implementations

impl AESTowerField16b

pub const fn new(value: u16) -> Self

pub fn val(self) -> u16

Trait Implementations

impl Add<&AESTowerField16b> for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the + operator.

fn add(self, rhs: &Self) -> Self::Output

Performs the + operation.

impl Add<AESTowerField128b> for AESTowerField16b

type Output = AESTowerField128b

The resulting type after applying the + operator.

fn add(self, rhs: AESTowerField128b) -> Self::Output

Performs the + operation.

impl Add<AESTowerField16b> for AESTowerField128b

type Output = AESTowerField128b

The resulting type after applying the + operator.

fn add(self, rhs: AESTowerField16b) -> Self::Output

Performs the + operation.

impl Add<AESTowerField16b> for AESTowerField32b

type Output = AESTowerField32b

The resulting type after applying the + operator.

fn add(self, rhs: AESTowerField16b) -> Self::Output

Performs the + operation.

impl Add<AESTowerField16b> for AESTowerField64b

type Output = AESTowerField64b

The resulting type after applying the + operator.

fn add(self, rhs: AESTowerField16b) -> Self::Output

Performs the + operation.

impl Add<AESTowerField16b> for AESTowerField8b

type Output = AESTowerField16b

The resulting type after applying the + operator.

fn add(self, rhs: AESTowerField16b) -> Self::Output

Performs the + operation.

impl Add<AESTowerField16b> for BinaryField1b

type Output = AESTowerField16b

The resulting type after applying the + operator.

fn add(self, rhs: AESTowerField16b) -> Self::Output

Performs the + operation.

impl Add<AESTowerField32b> for AESTowerField16b

type Output = AESTowerField32b

The resulting type after applying the + operator.

fn add(self, rhs: AESTowerField32b) -> Self::Output

Performs the + operation.

impl Add<AESTowerField64b> for AESTowerField16b

type Output = AESTowerField64b

The resulting type after applying the + operator.

fn add(self, rhs: AESTowerField64b) -> Self::Output

Performs the + operation.

impl Add<AESTowerField8b> for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the + operator.

fn add(self, rhs: AESTowerField8b) -> Self::Output

Performs the + operation.

impl Add<BinaryField1b> for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField1b) -> Self::Output

Performs the + operation.

impl Add for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation.

impl AddAssign<&AESTowerField16b> for AESTowerField16b

fn add_assign(&mut self, rhs: &Self)

Performs the += operation.

impl AddAssign<AESTowerField16b> for AESTowerField128b

fn add_assign(&mut self, rhs: AESTowerField16b)

Performs the += operation.

impl AddAssign<AESTowerField16b> for AESTowerField32b

fn add_assign(&mut self, rhs: AESTowerField16b)

Performs the += operation.

impl AddAssign<AESTowerField16b> for AESTowerField64b

fn add_assign(&mut self, rhs: AESTowerField16b)

Performs the += operation.

impl AddAssign<AESTowerField8b> for AESTowerField16b

fn add_assign(&mut self, rhs: AESTowerField8b)

Performs the += operation.

impl AddAssign<BinaryField1b> for AESTowerField16b

fn add_assign(&mut self, rhs: BinaryField1b)

Performs the += operation.

impl AddAssign for AESTowerField16b

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl AsSinglePacked for AESTowerField16b

type Packed = PackedPrimitiveType<u16, AESTowerField16b>

fn to_single_packed(self) -> Self::Packed

fn from_single_packed(value: Self::Packed) -> Self

impl BinaryField for AESTowerField16b

const MULTIPLICATIVE_GENERATOR: AESTowerField16b = _

const N_BITS: usize = Self::DEGREE

impl Clone for AESTowerField16b

fn clone(&self) -> AESTowerField16b

Returns a copy of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for AESTowerField16b

fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self

Select a or b according to choice.

fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice.

fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves.

impl ConstantTimeEq for AESTowerField16b

fn ct_eq(&self, other: &Self) -> Choice

Determine if two items are equal.

fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal.

impl Debug for AESTowerField16b

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

Formats the value using the given formatter.

impl Default for AESTowerField16b

fn default() -> AESTowerField16b

Returns the “default value” for a type.

impl Display for AESTowerField16b

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

Formats the value using the given formatter.

impl ExtensionField<AESTowerField16b> for AESTowerField128b

type Iterator = <[AESTowerField16b; 8] as IntoIterator>::IntoIter

const DEGREE: usize = 8usize

fn basis(i: usize) -> Result<Self, Error>

fn from_bases(base_elems: &[AESTowerField16b]) -> Result<Self, Error>

fn iter_bases(&self) -> Self::Iterator

impl ExtensionField<AESTowerField16b> for AESTowerField32b

type Iterator = <[AESTowerField16b; 2] as IntoIterator>::IntoIter

const DEGREE: usize = 2usize

fn basis(i: usize) -> Result<Self, Error>

fn from_bases(base_elems: &[AESTowerField16b]) -> Result<Self, Error>

fn iter_bases(&self) -> Self::Iterator

impl ExtensionField<AESTowerField16b> for AESTowerField64b

type Iterator = <[AESTowerField16b; 4] as IntoIterator>::IntoIter

const DEGREE: usize = 4usize

fn basis(i: usize) -> Result<Self, Error>

fn from_bases(base_elems: &[AESTowerField16b]) -> Result<Self, Error>

fn iter_bases(&self) -> Self::Iterator

impl ExtensionField<AESTowerField8b> for AESTowerField16b

type Iterator = <[AESTowerField8b; 2] as IntoIterator>::IntoIter

const DEGREE: usize = 2usize

fn basis(i: usize) -> Result<Self, Error>

fn from_bases(base_elems: &[AESTowerField8b]) -> Result<Self, Error>

fn iter_bases(&self) -> Self::Iterator

impl ExtensionField<BinaryField1b> for AESTowerField16b

type Iterator = <[BinaryField1b; 16] as IntoIterator>::IntoIter

const DEGREE: usize = 16usize

fn basis(i: usize) -> Result<Self, Error>

fn from_bases(base_elems: &[BinaryField1b]) -> Result<Self, Error>

fn iter_bases(&self) -> Self::Iterator

impl Field for AESTowerField16b

const ZERO: Self = _

The zero element of the field, the additive identity.

const ONE: Self = _

The one element of the field, the multiplicative identity.

fn random(rng: impl RngCore) -> Self

Returns an element chosen uniformly at random using a user-provided RNG.

fn double(&self) -> Self

Doubles this element.

fn is_zero(&self) -> bool

Returns true iff this element is zero.

fn invert(&self) -> Option<Self>

Computes the multiplicative inverse of this element, failing if the element is zero.

fn pow<S: AsRef<[u64]>>(&self, exp: S) -> Self

Exponentiates self by exp, where exp is a little-endian order integer exponent.

fn pow_vartime<S: AsRef<[u64]>>(&self, exp: S) -> Self

Exponentiates self by exp, where exp is a little-endian order integer exponent.

impl From<(AESTowerField8b, AESTowerField8b)> for AESTowerField16b

fn from((a, b): (AESTowerField8b, AESTowerField8b)) -> Self

Converts to this type from the input type.

impl From<AESTowerField16b> for (AESTowerField8b, AESTowerField8b)

fn from(src: AESTowerField16b) -> (AESTowerField8b, AESTowerField8b)

Converts to this type from the input type.

impl From<AESTowerField16b> for AESTowerField128b

fn from(elem: AESTowerField16b) -> Self

Converts to this type from the input type.

impl From<AESTowerField16b> for AESTowerField32b

fn from(elem: AESTowerField16b) -> Self

Converts to this type from the input type.

impl From<AESTowerField16b> for AESTowerField64b

fn from(elem: AESTowerField16b) -> Self

Converts to this type from the input type.

impl From<AESTowerField16b> for BinaryField16b

fn from(value: AESTowerField16b) -> Self

Converts to this type from the input type.

impl From<AESTowerField16b> for u16

fn from(val: AESTowerField16b) -> Self

Converts to this type from the input type.

impl From<AESTowerField8b> for AESTowerField16b

fn from(elem: AESTowerField8b) -> Self

Converts to this type from the input type.

impl From<BinaryField16b> for AESTowerField16b

fn from(value: BinaryField16b) -> Self

Converts to this type from the input type.

impl From<BinaryField1b> for AESTowerField16b

fn from(elem: BinaryField1b) -> Self

Converts to this type from the input type.

impl From<u16> for AESTowerField16b

fn from(val: u16) -> Self

Converts to this type from the input type.

impl Hash for AESTowerField16b

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl InvertOrZero for AESTowerField16b

fn invert_or_zero(self) -> Self

Returns the inverted value or zero in case when self is zero

impl Mul<&AESTowerField16b> for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the * operator.

fn mul(self, rhs: &Self) -> Self::Output

Performs the * operation.

impl Mul<AESTowerField128b> for AESTowerField16b

type Output = AESTowerField128b

The resulting type after applying the * operator.

fn mul(self, rhs: AESTowerField128b) -> Self::Output

Performs the * operation.

impl Mul<AESTowerField16b> for AESTowerField128b

type Output = AESTowerField128b

The resulting type after applying the * operator.

fn mul(self, rhs: AESTowerField16b) -> Self::Output

Performs the * operation.

impl Mul<AESTowerField16b> for AESTowerField32b

type Output = AESTowerField32b

The resulting type after applying the * operator.

fn mul(self, rhs: AESTowerField16b) -> Self::Output

Performs the * operation.

impl Mul<AESTowerField16b> for AESTowerField64b

type Output = AESTowerField64b

The resulting type after applying the * operator.

fn mul(self, rhs: AESTowerField16b) -> Self::Output

Performs the * operation.

impl Mul<AESTowerField16b> for AESTowerField8b

type Output = AESTowerField16b

The resulting type after applying the * operator.

fn mul(self, rhs: AESTowerField16b) -> Self::Output

Performs the * operation.

impl Mul<AESTowerField16b> for BinaryField1b

type Output = AESTowerField16b

The resulting type after applying the * operator.

fn mul(self, rhs: AESTowerField16b) -> Self::Output

Performs the * operation.

impl Mul<AESTowerField32b> for AESTowerField16b

type Output = AESTowerField32b

The resulting type after applying the * operator.

fn mul(self, rhs: AESTowerField32b) -> Self::Output

Performs the * operation.

impl Mul<AESTowerField64b> for AESTowerField16b

type Output = AESTowerField64b

The resulting type after applying the * operator.

fn mul(self, rhs: AESTowerField64b) -> Self::Output

Performs the * operation.

impl Mul<AESTowerField8b> for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the * operator.

fn mul(self, rhs: AESTowerField8b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField1b> for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField1b) -> Self::Output

Performs the * operation.

impl Mul for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self::Output

Performs the * operation.

impl MulAssign<&AESTowerField16b> for AESTowerField16b

fn mul_assign(&mut self, rhs: &Self)

Performs the *= operation.

impl MulAssign<AESTowerField16b> for AESTowerField128b

fn mul_assign(&mut self, rhs: AESTowerField16b)

Performs the *= operation.

impl MulAssign<AESTowerField16b> for AESTowerField32b

fn mul_assign(&mut self, rhs: AESTowerField16b)

Performs the *= operation.

impl MulAssign<AESTowerField16b> for AESTowerField64b

fn mul_assign(&mut self, rhs: AESTowerField16b)

Performs the *= operation.

impl MulAssign<AESTowerField8b> for AESTowerField16b

fn mul_assign(&mut self, rhs: AESTowerField8b)

Performs the *= operation.

impl MulAssign<BinaryField1b> for AESTowerField16b

fn mul_assign(&mut self, rhs: BinaryField1b)

Performs the *= operation.

impl MulAssign for AESTowerField16b

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl Neg for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Ord for AESTowerField16b

fn cmp(&self, other: &AESTowerField16b) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized + PartialOrd,

Restrict a value to a certain interval.

impl PartialEq for AESTowerField16b

fn eq(&self, other: &AESTowerField16b) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd for AESTowerField16b

fn partial_cmp(&self, other: &AESTowerField16b) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<'a> Product<&'a AESTowerField16b> for AESTowerField16b

fn product<I: Iterator<Item = &'a Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl Product for AESTowerField16b

fn product<I: Iterator<Item = Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl Square for AESTowerField16b

fn square(self) -> Self

Returns the value multiplied by itself

impl Step for AESTowerField16b

fn steps_between(start: &Self, end: &Self) -> Option<usize>

🔬This is a nightly-only experimental API. (step_trait)

Returns the number of successor steps required to get from start to end.

fn forward_checked(start: Self, count: usize) -> Option<Self>

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the successor of self count times.

fn backward_checked(start: Self, count: usize) -> Option<Self>

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the predecessor of self count times.

fn forward(start: Self, count: usize) -> Self

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the successor of self count times.

unsafe fn forward_unchecked(start: Self, count: usize) -> Self

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the successor of self count times.

fn backward(start: Self, count: usize) -> Self

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the predecessor of self count times.

unsafe fn backward_unchecked(start: Self, count: usize) -> Self

🔬This is a nightly-only experimental API. (step_trait)

Returns the value that would be obtained by taking the predecessor of self count times.

impl Sub<&AESTowerField16b> for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the - operator.

fn sub(self, rhs: &Self) -> Self::Output

Performs the - operation.

impl Sub<AESTowerField128b> for AESTowerField16b

type Output = AESTowerField128b

The resulting type after applying the - operator.

fn sub(self, rhs: AESTowerField128b) -> Self::Output

Performs the - operation.

impl Sub<AESTowerField16b> for AESTowerField128b

type Output = AESTowerField128b

The resulting type after applying the - operator.

fn sub(self, rhs: AESTowerField16b) -> Self::Output

Performs the - operation.

impl Sub<AESTowerField16b> for AESTowerField32b

type Output = AESTowerField32b

The resulting type after applying the - operator.

fn sub(self, rhs: AESTowerField16b) -> Self::Output

Performs the - operation.

impl Sub<AESTowerField16b> for AESTowerField64b

type Output = AESTowerField64b

The resulting type after applying the - operator.

fn sub(self, rhs: AESTowerField16b) -> Self::Output

Performs the - operation.

impl Sub<AESTowerField16b> for AESTowerField8b

type Output = AESTowerField16b

The resulting type after applying the - operator.

fn sub(self, rhs: AESTowerField16b) -> Self::Output

Performs the - operation.

impl Sub<AESTowerField16b> for BinaryField1b

type Output = AESTowerField16b

The resulting type after applying the - operator.

fn sub(self, rhs: AESTowerField16b) -> Self::Output

Performs the - operation.

impl Sub<AESTowerField32b> for AESTowerField16b

type Output = AESTowerField32b

The resulting type after applying the - operator.

fn sub(self, rhs: AESTowerField32b) -> Self::Output

Performs the - operation.

impl Sub<AESTowerField64b> for AESTowerField16b

type Output = AESTowerField64b

The resulting type after applying the - operator.

fn sub(self, rhs: AESTowerField64b) -> Self::Output

Performs the - operation.

impl Sub<AESTowerField8b> for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the - operator.

fn sub(self, rhs: AESTowerField8b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField1b> for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField1b) -> Self::Output

Performs the - operation.

impl Sub for AESTowerField16b

type Output = AESTowerField16b

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation.

impl SubAssign<&AESTowerField16b> for AESTowerField16b

fn sub_assign(&mut self, rhs: &Self)

Performs the -= operation.

impl SubAssign<AESTowerField16b> for AESTowerField128b

fn sub_assign(&mut self, rhs: AESTowerField16b)

Performs the -= operation.

impl SubAssign<AESTowerField16b> for AESTowerField32b

fn sub_assign(&mut self, rhs: AESTowerField16b)

Performs the -= operation.

impl SubAssign<AESTowerField16b> for AESTowerField64b

fn sub_assign(&mut self, rhs: AESTowerField16b)

Performs the -= operation.

impl SubAssign<AESTowerField8b> for AESTowerField16b

fn sub_assign(&mut self, rhs: AESTowerField8b)

Performs the -= operation.

impl SubAssign<BinaryField1b> for AESTowerField16b

fn sub_assign(&mut self, rhs: BinaryField1b)

Performs the -= operation.

impl SubAssign for AESTowerField16b

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl<'a> Sum<&'a AESTowerField16b> for AESTowerField16b

fn sum<I: Iterator<Item = &'a Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl Sum for AESTowerField16b

fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl TowerField for AESTowerField16b

const TOWER_LEVEL: usize = 4usize

The level $\iota$ in the tower, where this field is isomorphic to $T_{\iota}$.

fn mul_primitive(self, iota: usize) -> Result<Self, Error>

Multiplies a field element by the canonical primitive element of the extension $T_{\iota + 1} / T_{iota}$.

fn basis(iota: usize, i: usize) -> Result<Self, Error>

impl TransparentWrapper<u16> for AESTowerField16b

fn wrap(s: Inner) -> Self

where Self: Sized,

Convert the inner type into the wrapper type.

fn wrap_ref(s: &Inner) -> &Self

Convert a reference to the inner type into a reference to the wrapper type.

fn wrap_mut(s: &mut Inner) -> &mut Self

Convert a mutable reference to the inner type into a mutable reference to the wrapper type.

fn wrap_slice(s: &[Inner]) -> &[Self]

where Self: Sized,

Convert a slice to the inner type into a slice to the wrapper type.

fn wrap_slice_mut(s: &mut [Inner]) -> &mut [Self]

where Self: Sized,

Convert a mutable slice to the inner type into a mutable slice to the wrapper type.

fn peel(s: Self) -> Inner

where Self: Sized,

Convert the wrapper type into the inner type.

fn peel_ref(s: &Self) -> &Inner

Convert a reference to the wrapper type into a reference to the inner type.

fn peel_mut(s: &mut Self) -> &mut Inner

Convert a mutable reference to the wrapper type into a mutable reference to the inner type.

fn peel_slice(s: &[Self]) -> &[Inner]

where Self: Sized,

Convert a slice to the wrapped type into a slice to the inner type.

fn peel_slice_mut(s: &mut [Self]) -> &mut [Inner]

where Self: Sized,

Convert a mutable slice to the wrapped type into a mutable slice to the inner type.

impl TryFrom<AESTowerField128b> for AESTowerField16b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: AESTowerField128b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<AESTowerField16b> for AESTowerField8b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: AESTowerField16b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<AESTowerField16b> for BinaryField1b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: AESTowerField16b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<AESTowerField32b> for AESTowerField16b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: AESTowerField32b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<AESTowerField64b> for AESTowerField16b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: AESTowerField64b) -> Result<Self, Self::Error>

Performs the conversion.

impl WithUnderlier for AESTowerField16b

type Underlier = u16

Underlier primitive type

fn to_underlier(self) -> Self::Underlier

Convert value to underlier.

fn to_underlier_ref(&self) -> &Self::Underlier

fn to_underlier_ref_mut(&mut self) -> &mut Self::Underlier

fn to_underliers_ref(val: &[Self]) -> &[Self::Underlier]

fn to_underliers_ref_mut(val: &mut [Self]) -> &mut [Self::Underlier]

fn from_underlier(val: Self::Underlier) -> Self

fn from_underlier_ref(val: &Self::Underlier) -> &Self

fn from_underlier_ref_mut(val: &mut Self::Underlier) -> &mut Self

fn from_underliers_ref(val: &[Self::Underlier]) -> &[Self]

fn from_underliers_ref_mut(val: &mut [Self::Underlier]) -> &mut [Self]

fn mutate_underlier( self, f: impl FnOnce(Self::Underlier) -> Self::Underlier ) -> Self

impl Zeroable for AESTowerField16b

fn zeroed() -> Self

Calls zeroed.

impl Copy for AESTowerField16b

impl Eq for AESTowerField16b

impl Pod for AESTowerField16b

impl StructuralPartialEq for AESTowerField16b