@@ -20,14 +20,14 @@ }
 
 fn main() {
     // Select parameter set
-    set_parameter_set(ParameterSelector::InteractiveLTE2Party);
+    set_parameter_set(ParameterSelector::InteractiveLTE4Party);
 
     // set application's common reference seed
     let mut seed = [0u8; 32];
     thread_rng().fill_bytes(&mut seed);
     set_common_reference_seed(seed);
 
-    let no_of_parties = 2;
+    let no_of_parties = 4;
 
     // Client side //
 

@@ -910,7 +910,10 @@ M,
         BoolParameters<M::MatElement>,
         InteractiveMultiPartyCrs<[u8; 32]>,
     > {
-        assert_eq!(self.parameters().variant(), &ParameterVariant::MultiParty);
+        assert_eq!(
+            self.parameters().variant(),
+            &ParameterVariant::InteractiveMultiParty
+        );
         assert!(user_id < total_users);
 
         let sk_rlwe = client_key.sk_rlwe();
@@ -1060,7 +1063,10 @@ where
         S: PartialEq + Clone,
         M: Clone,
     {
-        assert_eq!(self.parameters().variant(), &ParameterVariant::MultiParty);
+        assert_eq!(
+            self.parameters().variant(),
+            &ParameterVariant::InteractiveMultiParty
+        );
         assert!(shares.len() > 0);
 
         let total_users = shares.len();

@@ -27,6 +27,8 @@ static MULTI_PARTY_CRS: OnceLock<InteractiveMultiPartyCrs<[u8; 32]>> = OnceLock::new();
 
 pub enum ParameterSelector {
     InteractiveLTE2Party,
+    InteractiveLTE4Party,
+    InteractiveLTE8Party,
 }
 
 /// Select Interactive multi-party parameter variant
@@ -35,7 +37,12 @@ match select {
         ParameterSelector::InteractiveLTE2Party => {
             BOOL_EVALUATOR.with_borrow_mut(|v| *v = Some(BoolEvaluator::new(I_2P)));
         }
-
+        ParameterSelector::InteractiveLTE4Party => {
+            BOOL_EVALUATOR.with_borrow_mut(|v| *v = Some(BoolEvaluator::new(I_4P)));
+        }
+        ParameterSelector::InteractiveLTE8Party => {
+            BOOL_EVALUATOR.with_borrow_mut(|v| *v = Some(BoolEvaluator::new(I_8P_LB_SR)));
+        }
         _ => {
             panic!("Paramerter not supported")
         }
@@ -355,8 +362,10 @@ let parameters = BoolEvaluator::with_local(|e| e.parameters().clone());
         let rlwe_modop = parameters.default_rlwe_modop();
 
         for _ in 0..500 {
+            let now = std::time::Instant::now();
             let ct_out =
                 BoolEvaluator::with_local_mut(|e| e.nand(&ct0, &ct1, RuntimeServerKey::global()));
+            println!("Time: {:?}", now.elapsed());
 
             let m_expected = !(m0 && m1);
 

@@ -91,7 +91,7 @@
 #[derive(Clone, PartialEq, Debug)]
 pub(crate) enum ParameterVariant {
     SingleParty,
-    MultiParty,
+    InteractiveMultiParty,
     NonInteractiveMultiParty,
 }
 #[derive(Clone, PartialEq)]
@@ -544,7 +544,7 @@ auto_decomposer_params: (DecompostionLogBase(12), DecompositionCount(5)),
     non_interactive_ui_to_s_key_switch_decomposer: None,
     g: 5,
     w: 10,
-    variant: ParameterVariant::MultiParty,
+    variant: ParameterVariant::InteractiveMultiParty,
 };
 
 pub(crate) const SMALL_MP_BOOL_PARAMS: BoolParameters<u64> = BoolParameters::<u64> {
@@ -568,7 +568,7 @@ auto_decomposer_params: (DecompostionLogBase(11), DecompositionCount(2)),
     non_interactive_ui_to_s_key_switch_decomposer: None,
     g: 5,
     w: 10,
-    variant: ParameterVariant::MultiParty,
+    variant: ParameterVariant::InteractiveMultiParty,
 };
 
 pub(crate) const I_2P: BoolParameters<u64> = BoolParameters::<u64> {
@@ -579,20 +579,92 @@ lwe_q: CiphertextModulus::new_non_native(1 << 15),
     br_q: 1 << 11,
     rlwe_n: PolynomialSize(1 << 11),
     lwe_n: LweDimension(480),
-    lwe_decomposer_params: (DecompostionLogBase(1), DecompositionCount(11)),
+    lwe_decomposer_params: (DecompostionLogBase(1), DecompositionCount(12)),
+    rlrg_decomposer_params: (
+        DecompostionLogBase(17),
+        (DecompositionCount(1), DecompositionCount(1)),
+    ),
+    rgrg_decomposer_params: Some((
+        DecompostionLogBase(7),
+        (DecompositionCount(6), DecompositionCount(5)),
+    )),
+    auto_decomposer_params: (DecompostionLogBase(24), DecompositionCount(1)),
+    non_interactive_ui_to_s_key_switch_decomposer: None,
+    g: 5,
+    w: 10,
+    variant: ParameterVariant::InteractiveMultiParty,
+};
+
+pub(crate) const I_4P: BoolParameters<u64> = BoolParameters::<u64> {
+    rlwe_secret_key_dist: SecretKeyDistribution::TernaryDistribution,
+    lwe_secret_key_dist: SecretKeyDistribution::ErrorDistribution,
+    rlwe_q: CiphertextModulus::new_non_native(18014398509404161),
+    lwe_q: CiphertextModulus::new_non_native(1 << 16),
+    br_q: 1 << 11,
+    rlwe_n: PolynomialSize(1 << 11),
+    lwe_n: LweDimension(520),
+    lwe_decomposer_params: (DecompostionLogBase(1), DecompositionCount(13)),
     rlrg_decomposer_params: (
-        DecompostionLogBase(16),
+        DecompostionLogBase(17),
         (DecompositionCount(1), DecompositionCount(1)),
     ),
     rgrg_decomposer_params: Some((
-        DecompostionLogBase(8),
-        (DecompositionCount(6), DecompositionCount(6)),
+        DecompostionLogBase(6),
+        (DecompositionCount(7), DecompositionCount(6)),
     )),
     auto_decomposer_params: (DecompostionLogBase(24), DecompositionCount(1)),
     non_interactive_ui_to_s_key_switch_decomposer: None,
     g: 5,
     w: 10,
-    variant: ParameterVariant::MultiParty,
+    variant: ParameterVariant::InteractiveMultiParty,
+};
+
+pub(crate) const I_8P_HB_FR: BoolParameters<u64> = BoolParameters::<u64> {
+    rlwe_secret_key_dist: SecretKeyDistribution::TernaryDistribution,
+    lwe_secret_key_dist: SecretKeyDistribution::ErrorDistribution,
+    rlwe_q: CiphertextModulus::new_non_native(18014398509404161),
+    lwe_q: CiphertextModulus::new_non_native(1 << 16),
+    br_q: 1 << 11,
+    rlwe_n: PolynomialSize(1 << 11),
+    lwe_n: LweDimension(520),
+    lwe_decomposer_params: (DecompostionLogBase(1), DecompositionCount(13)),
+    rlrg_decomposer_params: (
+        DecompostionLogBase(17),
+        (DecompositionCount(1), DecompositionCount(1)),
+    ),
+    rgrg_decomposer_params: Some((
+        DecompostionLogBase(4),
+        (DecompositionCount(12), DecompositionCount(11)),
+    )),
+    auto_decomposer_params: (DecompostionLogBase(24), DecompositionCount(1)),
+    non_interactive_ui_to_s_key_switch_decomposer: None,
+    g: 5,
+    w: 10,
+    variant: ParameterVariant::InteractiveMultiParty,
+};
+
+pub(crate) const I_8P_LB_SR: BoolParameters<u64> = BoolParameters::<u64> {
+    rlwe_secret_key_dist: SecretKeyDistribution::TernaryDistribution,
+    lwe_secret_key_dist: SecretKeyDistribution::ErrorDistribution,
+    rlwe_q: CiphertextModulus::new_non_native(18014398509404161),
+    lwe_q: CiphertextModulus::new_non_native(1 << 17),
+    br_q: 1 << 11,
+    rlwe_n: PolynomialSize(1 << 11),
+    lwe_n: LweDimension(560),
+    lwe_decomposer_params: (DecompostionLogBase(1), DecompositionCount(14)),
+    rlrg_decomposer_params: (
+        DecompostionLogBase(17),
+        (DecompositionCount(1), DecompositionCount(1)),
+    ),
+    rgrg_decomposer_params: Some((
+        DecompostionLogBase(5),
+        (DecompositionCount(8), DecompositionCount(7)),
+    )),
+    auto_decomposer_params: (DecompostionLogBase(24), DecompositionCount(1)),
+    non_interactive_ui_to_s_key_switch_decomposer: None,
+    g: 5,
+    w: 10,
+    variant: ParameterVariant::InteractiveMultiParty,
 };
 
 pub(crate) const NI_2P: BoolParameters<u64> = BoolParameters::<u64> {

@@ -322,7 +322,7 @@ // LWE Key switch
     // LWE key switches LWE_in = LWE_{Q_ks,N, s}(m) = (b, a_0, ... a_N) -> LWE_out =
     // LWE_{Q_{ks}, n, z}(m) = (b', a'_0, ..., a'n)
     // If LWE_in = (0, a = {a_0, ..., a_N}), then LWE_out = LWE(-a \cdot s_{rlwe})
-    for _ in 0..10 {
+    for _ in 0..100 {
         let mut lwe_in = M::R::zeros(rlwe_n + 1);
         RandomFillUniformInModulus::random_fill(&mut rng, lwe_q, &mut lwe_in.as_mut()[1..]);
 
@@ -367,7 +367,7 @@ use super::collect_server_key_stats;
 
     #[test]
     #[cfg(feature = "interactive_mp")]
-    fn qwerty() {
+    fn interactive_key_noise() {
         use crate::{
             aggregate_public_key_shares, aggregate_server_key_shares,
             bool::{
@@ -379,7 +379,7 @@ parameters::CiphertextModulus,
             random::DefaultSecureRng,
             set_common_reference_seed, set_parameter_set,
             utils::WithLocal,
-            BoolEvaluator, DefaultDecomposer, ModularOpsU64, Ntt, NttBackendU64,
+            BoolEvaluator, DefaultDecomposer, ModularOpsU64, NttBackendU64,
         };
 
         set_parameter_set(crate::ParameterSelector::InteractiveLTE2Party);
@@ -413,6 +413,11 @@ NttBackendU64,
             ModularOpsU64<CiphertextModulus<u64>>,
             _,
         >(parameters, &cks, &server_key_eval);
+
+        println!(
+            "Common reference seeded server key share key size size: {} Bits",
+            server_key_shares[0].size()
+        );
 
         println!(
             "Rgsw nsm std log2 {}",