diff --git a/Cargo.lock b/Cargo.lock
index 6bdecdf269..54fd7138ad 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1157,6 +1157,7 @@ dependencies = [
  "commonware-macros",
  "commonware-math",
  "commonware-p2p",
+ "commonware-parallel",
  "commonware-runtime",
  "commonware-utils",
  "futures",
diff --git a/consensus/fuzz/Cargo.toml b/consensus/fuzz/Cargo.toml
index 21638b7dd3..ddb506016f 100644
--- a/consensus/fuzz/Cargo.toml
+++ b/consensus/fuzz/Cargo.toml
@@ -17,6 +17,7 @@ commonware-cryptography.workspace = true
 commonware-macros.workspace = true
 commonware-math.workspace = true
 commonware-p2p.workspace = true
+commonware-parallel.workspace = true
 commonware-runtime.workspace = true
 commonware-utils.workspace = true
 futures.workspace = true
diff --git a/consensus/fuzz/fuzz_targets/simplex_bls12381_threshold_minpk.rs b/consensus/fuzz/fuzz_targets/simplex_bls12381_threshold_minpk.rs
index f723b843b2..0e09ab98ba 100644
--- a/consensus/fuzz/fuzz_targets/simplex_bls12381_threshold_minpk.rs
+++ b/consensus/fuzz/fuzz_targets/simplex_bls12381_threshold_minpk.rs
@@ -6,13 +6,14 @@ use commonware_cryptography::{
     bls12381::primitives::variant::MinPk, certificate::mocks::Fixture,
     ed25519::PublicKey as Ed25519PublicKey,
 };
+use commonware_parallel::Sequential;
 use commonware_runtime::deterministic;
 use libfuzzer_sys::fuzz_target;
 
 struct SimplexBls12381MinPk;
 
 impl Simplex for SimplexBls12381MinPk {
-    type Scheme = bls12381_threshold::Scheme<Ed25519PublicKey, MinPk>;
+    type Scheme = bls12381_threshold::Scheme<Ed25519PublicKey, MinPk, Sequential>;
     type Elector = Random;
 
     fn fixture(
diff --git a/consensus/fuzz/fuzz_targets/simplex_bls12381_threshold_minsig.rs b/consensus/fuzz/fuzz_targets/simplex_bls12381_threshold_minsig.rs
index 81f066ee40..7b19f93cf7 100644
--- a/consensus/fuzz/fuzz_targets/simplex_bls12381_threshold_minsig.rs
+++ b/consensus/fuzz/fuzz_targets/simplex_bls12381_threshold_minsig.rs
@@ -6,13 +6,14 @@ use commonware_cryptography::{
     bls12381::primitives::variant::MinSig, certificate::mocks::Fixture,
     ed25519::PublicKey as Ed25519PublicKey,
 };
+use commonware_parallel::Sequential;
 use commonware_runtime::deterministic;
 use libfuzzer_sys::fuzz_target;
 
 struct SimplexBls12381MinSig;
 
 impl Simplex for SimplexBls12381MinSig {
-    type Scheme = bls12381_threshold::Scheme<Ed25519PublicKey, MinSig>;
+    type Scheme = bls12381_threshold::Scheme<Ed25519PublicKey, MinSig, Sequential>;
     type Elector = Random;
 
     fn fixture(
diff --git a/consensus/fuzz/fuzz_targets/simplex_elector.rs b/consensus/fuzz/fuzz_targets/simplex_elector.rs
index a4ba1fb0e1..51a2e0b5b1 100644
--- a/consensus/fuzz/fuzz_targets/simplex_elector.rs
+++ b/consensus/fuzz/fuzz_targets/simplex_elector.rs
@@ -15,6 +15,7 @@ use commonware_cryptography::{
     Sha256, Signer,
 };
 use commonware_math::algebra::Random as _;
+use commonware_parallel::Sequential;
 use commonware_utils::{ordered::Set, TryCollect};
 use libfuzzer_sys::fuzz_target;
 use rand::{rngs::StdRng, SeedableRng};
@@ -76,10 +77,18 @@ fuzz_target!(|input: FuzzInput| {
             fuzz::<ed25519::Scheme, _>(&input, RoundRobin::<Sha256>::shuffled(seed), None);
         }
         FuzzElector::RandomMinPk(certificate) => {
-            fuzz::<bls12381_threshold::Scheme<_, MinPk>, _>(&input, Random, Some(certificate));
+            fuzz::<bls12381_threshold::Scheme<_, MinPk, Sequential>, _>(
+                &input,
+                Random,
+                Some(certificate),
+            );
         }
         FuzzElector::RandomMinSig(certificate) => {
-            fuzz::<bls12381_threshold::Scheme<_, MinSig>, _>(&input, Random, Some(certificate));
+            fuzz::<bls12381_threshold::Scheme<_, MinSig, Sequential>, _>(
+                &input,
+                Random,
+                Some(certificate),
+            );
         }
     }
 });
diff --git a/consensus/fuzz/fuzz_targets/simplex_messages.rs b/consensus/fuzz/fuzz_targets/simplex_messages.rs
index 327bd6c9cd..2b362b1435 100644
--- a/consensus/fuzz/fuzz_targets/simplex_messages.rs
+++ b/consensus/fuzz/fuzz_targets/simplex_messages.rs
@@ -15,13 +15,14 @@ use commonware_cryptography::{
     ed25519::PublicKey,
     sha256,
 };
+use commonware_parallel::Sequential;
 use libfuzzer_sys::fuzz_target;
 
 type Ed25519Scheme = ed25519::Scheme;
 type Bls12381MultisigMinPk = bls12381_multisig::Scheme<PublicKey, MinPk>;
 type Bls12381MultisigMinSig = bls12381_multisig::Scheme<PublicKey, MinSig>;
-type ThresholdSchemeMinPk = bls12381_threshold::Scheme<PublicKey, MinPk>;
-type ThresholdSchemeMinSig = bls12381_threshold::Scheme<PublicKey, MinSig>;
+type ThresholdSchemeMinPk = bls12381_threshold::Scheme<PublicKey, MinPk, Sequential>;
+type ThresholdSchemeMinSig = bls12381_threshold::Scheme<PublicKey, MinSig, Sequential>;
 
 #[derive(Arbitrary, Debug)]
 enum FuzzInput {
diff --git a/consensus/src/marshal/mod.rs b/consensus/src/marshal/mod.rs
index 4fe0f4dcf7..938ff9aadf 100644
--- a/consensus/src/marshal/mod.rs
+++ b/consensus/src/marshal/mod.rs
@@ -128,6 +128,7 @@ mod tests {
         simulated::{self, Link, Network, Oracle},
         Manager,
     };
+    use commonware_parallel::Sequential;
     use commonware_runtime::{buffer::PoolRef, deterministic, Clock, Metrics, Quota, Runner};
     use commonware_storage::archive::immutable;
     use commonware_utils::{vec::NonEmptyVec, NZUsize, NZU16, NZU64};
@@ -147,7 +148,7 @@ mod tests {
     type B = Block<D>;
     type K = PublicKey;
     type V = MinPk;
-    type S = bls12381_threshold::Scheme<K, V>;
+    type S = bls12381_threshold::Scheme<K, V, Sequential>;
     type P = ConstantProvider<S, Epoch>;
 
     const PAGE_SIZE: NonZeroU16 = NZU16!(1024);
diff --git a/consensus/src/simplex/elector.rs b/consensus/src/simplex/elector.rs
index dfa998ede6..014f0d87fc 100644
--- a/consensus/src/simplex/elector.rs
+++ b/consensus/src/simplex/elector.rs
@@ -233,13 +233,14 @@ mod tests {
         bls12381::primitives::variant::MinPk, certificate::mocks::Fixture,
         sha256::Digest as Sha256Digest, Sha256,
     };
+    use commonware_parallel::Sequential;
     use commonware_utils::{quorum_from_slice, TryFromIterator};
     use rand::{rngs::StdRng, SeedableRng};
 
     const NAMESPACE: &[u8] = b"test";
 
     type ThresholdScheme =
-        bls12381_threshold::Scheme<commonware_cryptography::ed25519::PublicKey, MinPk>;
+        bls12381_threshold::Scheme<commonware_cryptography::ed25519::PublicKey, MinPk, Sequential>;
 
     #[test]
     fn round_robin_rotates_through_participants() {
diff --git a/consensus/src/simplex/mod.rs b/consensus/src/simplex/mod.rs
index bec8ef5928..adc8f439a2 100644
--- a/consensus/src/simplex/mod.rs
+++ b/consensus/src/simplex/mod.rs
@@ -317,6 +317,7 @@ mod tests {
         simulated::{Config, Link, Network, Oracle, Receiver, Sender, SplitOrigin, SplitTarget},
         Recipients, Sender as _,
     };
+    use commonware_parallel::Sequential;
     use commonware_runtime::{
         buffer::PoolRef, count_running_tasks, deterministic, Clock, Metrics, Quota, Runner, Spawner,
     };
@@ -4763,7 +4764,7 @@ mod tests {
     fn tle<V, L>()
     where
         V: Variant,
-        L: Elector<bls12381_threshold::Scheme<PublicKey, V>>,
+        L: Elector<bls12381_threshold::Scheme<PublicKey, V, Sequential>>,
     {
         // Create context
         let n = 4;
diff --git a/consensus/src/simplex/scheme/bls12381_threshold.rs b/consensus/src/simplex/scheme/bls12381_threshold.rs
index f0746da487..36284c9a85 100644
--- a/consensus/src/simplex/scheme/bls12381_threshold.rs
+++ b/consensus/src/simplex/scheme/bls12381_threshold.rs
@@ -75,7 +75,7 @@ enum Role<P: PublicKey, V: Variant> {
 /// The scheme is generic over a [`Strategy`] which determines whether cryptographic
 /// operations such as signature recovery and batch verification run sequentially or in parallel.
 #[derive(Clone, Debug)]
-pub struct Scheme<P: PublicKey, V: Variant, S: Strategy = Sequential> {
+pub struct Scheme<P: PublicKey, V: Variant, S: Strategy> {
     role: Role<P, V>,
     strategy: S,
 }
@@ -274,7 +274,7 @@ pub fn fixture<V, R>(
     namespace: &[u8],
     n: u32,
 ) -> commonware_cryptography::certificate::mocks::Fixture<
-    Scheme<commonware_cryptography::ed25519::PublicKey, V>,
+    Scheme<commonware_cryptography::ed25519::PublicKey, V, Sequential>,
 >
 where
     V: Variant,
@@ -356,7 +356,7 @@ impl<V: Variant> Seed<V> {
     }
 
     /// Verifies the threshold signature on this [Seed].
-    pub fn verify<P: PublicKey>(&self, scheme: &Scheme<P, V>) -> bool {
+    pub fn verify<P: PublicKey, S: Strategy>(&self, scheme: &Scheme<P, V, S>) -> bool {
         let seed_message = self.round.encode();
 
         ops::verify_message::<V>(
@@ -446,13 +446,17 @@ pub trait Seedable<V: Variant> {
     fn seed(&self) -> Seed<V>;
 }
 
-impl<P: PublicKey, V: Variant, D: Digest> Seedable<V> for Notarization<Scheme<P, V>, D> {
+impl<P: PublicKey, V: Variant, D: Digest, S: Strategy> Seedable<V>
+    for Notarization<Scheme<P, V, S>, D>
+{
     fn seed(&self) -> Seed<V> {
         Seed::new(self.proposal.round, self.certificate.seed_signature)
     }
 }
 
-impl<P: PublicKey, V: Variant, D: Digest> Seedable<V> for Finalization<Scheme<P, V>, D> {
+impl<P: PublicKey, V: Variant, D: Digest, S: Strategy> Seedable<V>
+    for Finalization<Scheme<P, V, S>, D>
+{
     fn seed(&self) -> Seed<V> {
         Seed::new(self.proposal.round, self.certificate.seed_signature)
     }
@@ -773,7 +777,7 @@ mod tests {
 
     const NAMESPACE: &[u8] = b"bls-threshold-signing-scheme";
 
-    type Scheme<V> = super::Scheme<ed25519::PublicKey, V>;
+    type Scheme<V> = super::Scheme<ed25519::PublicKey, V, Sequential>;
     type Signature<V> = super::Signature<V>;
 
     fn setup_signers<V: Variant>(n: u32, seed: u64) -> (Vec<Scheme<V>>, Scheme<V>) {
diff --git a/consensus/src/simplex/scheme/reporter.rs b/consensus/src/simplex/scheme/reporter.rs
index 427f2a1227..1bb3321488 100644
--- a/consensus/src/simplex/scheme/reporter.rs
+++ b/consensus/src/simplex/scheme/reporter.rs
@@ -123,6 +123,7 @@ mod tests {
         sha256::Digest as Sha256Digest,
         Hasher, Sha256,
     };
+    use commonware_parallel::Sequential;
     use futures::executor::block_on;
     use rand::{rngs::StdRng, SeedableRng};
     use std::sync::{Arc, Mutex};
@@ -260,7 +261,7 @@ mod tests {
         } = bls12381_threshold::fixture::<MinPk, _>(&mut rng, NAMESPACE, 4);
 
         assert!(
-            !bls12381_threshold::Scheme::<Ed25519PublicKey, MinPk>::is_attributable(),
+            !bls12381_threshold::Scheme::<Ed25519PublicKey, MinPk, Sequential>::is_attributable(),
             "BLS threshold must be non-attributable"
         );
 
@@ -307,7 +308,7 @@ mod tests {
         } = bls12381_threshold::fixture::<MinPk, _>(&mut rng, NAMESPACE, 4);
 
         assert!(
-            !bls12381_threshold::Scheme::<Ed25519PublicKey, MinPk>::is_attributable(),
+            !bls12381_threshold::Scheme::<Ed25519PublicKey, MinPk, Sequential>::is_attributable(),
             "BLS threshold must be non-attributable"
         );
 
diff --git a/consensus/src/simplex/types.rs b/consensus/src/simplex/types.rs
index 2872beab7d..063783b7d7 100644
--- a/consensus/src/simplex/types.rs
+++ b/consensus/src/simplex/types.rs
@@ -3241,8 +3241,9 @@ mod tests {
         use crate::simplex::scheme::bls12381_threshold;
         use commonware_codec::conformance::CodecConformance;
         use commonware_cryptography::{ed25519::PublicKey, sha256::Digest as Sha256Digest};
+        use commonware_parallel::Sequential;
 
-        type Scheme = bls12381_threshold::Scheme<PublicKey, MinSig>;
+        type Scheme = bls12381_threshold::Scheme<PublicKey, MinSig, Sequential>;
 
         commonware_conformance::conformance_tests! {
             CodecConformance<Vote<Scheme, Sha256Digest>>,