diff --git a/src/field/crandall_field.rs b/src/field/crandall_field.rs
index 261ec0f1..46dcb172 100644
--- a/src/field/crandall_field.rs
+++ b/src/field/crandall_field.rs
@@ -6,7 +6,7 @@ use num::Integer;
 
 use crate::field::extension_field::quadratic::QuadraticCrandallField;
 use crate::field::extension_field::quartic::QuarticCrandallField;
-use crate::field::extension_field::{Extendable, FieldExtension};
+use crate::field::extension_field::Extendable;
 use crate::field::field::Field;
 use std::hash::{Hash, Hasher};
 use std::iter::{Product, Sum};
diff --git a/src/field/field.rs b/src/field/field.rs
index 4025c968..3521edf8 100644
--- a/src/field/field.rs
+++ b/src/field/field.rs
@@ -5,7 +5,6 @@ use std::iter::{Product, Sum};
 use std::ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Sub, SubAssign};
 
 use num::Integer;
-use rand::rngs::OsRng;
 use rand::Rng;
 
 use crate::util::bits_u64;
diff --git a/src/fri/prover.rs b/src/fri/prover.rs
index cd95c4a6..d1eeadcf 100644
--- a/src/fri/prover.rs
+++ b/src/fri/prover.rs
@@ -1,4 +1,4 @@
-use crate::field::extension_field::{flatten, unflatten, Extendable, FieldExtension};
+use crate::field::extension_field::{flatten, unflatten, Extendable};
 use crate::field::field::Field;
 use crate::fri::FriConfig;
 use crate::hash::hash_n_to_1;
diff --git a/src/polynomial/polynomial.rs b/src/polynomial/polynomial.rs
index 37143ceb..f0faaf11 100644
--- a/src/polynomial/polynomial.rs
+++ b/src/polynomial/polynomial.rs
@@ -1,10 +1,10 @@
 use std::cmp::max;
 use std::ops::{Add, Mul, Sub};
 
-use crate::field::extension_field::{Extendable, FieldExtension};
+use crate::field::extension_field::Extendable;
 use crate::field::fft::{fft, ifft};
 use crate::field::field::Field;
-use crate::util::{log2_ceil, log2_strict};
+use crate::util::log2_strict;
 
 /// A polynomial in point-value form.
 ///
@@ -237,6 +237,7 @@ impl<F: Field> Mul<F> for &PolynomialCoeffs<F> {
 impl<F: Field> Mul for &PolynomialCoeffs<F> {
     type Output = PolynomialCoeffs<F>;
 
+    #[allow(clippy::suspicious_arithmetic_impl)]
     fn mul(self, rhs: Self) -> Self::Output {
         let new_len = (self.len() + rhs.len()).next_power_of_two();
         let a = self.padded(new_len);