This function performs computations in GF(p
m
)
where p is prime. To work in GF(2
m
), apply
the
.*
operator to Galois arrays. For details,
see
Example: Multiplication
.
The
gfmul
function multiplies elements of
a Galois field. (To multiply polynomials over a Galois field, use
gfconv
instead.)
c = gfmul(a,b,p)
multiplies
a
and
b
in
GF(
p
). Each entry of
a
and
b
is
between 0 and
p
-1.
p
is a prime
number. If
a
and
b
are matrices
of the same size, the function treats each element independently.
c = gfmul(a,b,field)
multiplies
a
and
b
in
GF(p
m
), where p is a prime number and m
is a positive integer.
a
and
b
represent
elements of GF(p
m
) in exponential format
relative to some primitive element of GF(p
m
).
field
is
the matrix listing all elements of GF(p
m
),
arranged relative to the same primitive element.
c
is
the exponential format of the product, relative to the same primitive
element. See
Representing Elements of Galois Fields
for an explanation
of these formats. If
a
and
b
are
matrices of the same size, the function treats each element independently.