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chore(ci): check more parameters set on lattice estimator

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This commit is contained in:
David Testé
2024-12-09 09:39:59 +01:00
committed by David Testé
parent 7c2bcaee15
commit 8b460072d3
5 changed files with 252 additions and 38 deletions
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2
ci/lattice_estimator.sage
View File

@@ -91,6 +91,8 @@ if __name__ == "__main__":
"boolean_parameters_lattice_estimator.sage",
"shortint_classic_parameters_lattice_estimator.sage",
"shortint_multi_bit_parameters_lattice_estimator.sage",
"shortint_cpke_parameters_lattice_estimator.sage",
"shortint_list_compression_parameters_lattice_estimator.sage",
):
to_update, to_watch = check_security(params_filename)
params_to_update.extend(to_update)

20
tfhe/examples/utilities/generates_test_keys.rs
View File

@@ -15,7 +15,14 @@ use tfhe::shortint::parameters::coverage_parameters::{
use tfhe::shortint::parameters::key_switching::p_fail_2_minus_64::ks_pbs::PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS;
use tfhe::shortint::parameters::key_switching::ShortintKeySwitchingParameters;
use tfhe::shortint::parameters::multi_bit::gaussian::ALL_MULTI_BIT_PARAMETER_VEC;
use tfhe::shortint::parameters::multi_bit::gaussian::p_fail_2_minus_64::ks_pbs::{
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
};
use tfhe::shortint::parameters::{
ClassicPBSParameters, PARAM_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MESSAGE_1_CARRY_2_KS_PBS_GAUSSIAN_2M64, PARAM_MESSAGE_1_CARRY_3_KS_PBS_GAUSSIAN_2M64,
@@ -56,7 +63,16 @@ fn client_server_keys() {
let multi_bit_only: bool = matches.get_flag("multi_bit_only");
let coverage_only: bool = matches.get_flag("coverage_only");
if multi_bit_only {
generate_pbs_multi_bit_keys(&ALL_MULTI_BIT_PARAMETER_VEC);
const MULTI_BIT_PARAMS: [MultiBitPBSParameters; 6] = [
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
];
generate_pbs_multi_bit_keys(&MULTI_BIT_PARAMS);
} else if coverage_only {
println!("Generating keys (ClientKey, ServerKey) for coverage");

138
tfhe/examples/utilities/params_to_file.rs
View File

@@ -7,15 +7,11 @@ use tfhe::core_crypto::prelude::{DynamicDistribution, TUniform, UnsignedInteger}
use tfhe::keycache::NamedParam;
use tfhe::shortint::parameters::classic::compact_pk::ALL_PARAMETER_VEC_COMPACT_PK;
use tfhe::shortint::parameters::classic::gaussian::ALL_PARAMETER_VEC_GAUSSIAN;
use tfhe::shortint::parameters::compact_public_key_only::p_fail_2_minus_64::ks_pbs::PARAM_PKE_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64;
use tfhe::shortint::parameters::multi_bit::gaussian::ALL_MULTI_BIT_PARAMETER_VEC;
use tfhe::shortint::parameters::{
ShortintParameterSet, PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
CompactPublicKeyEncryptionParameters, CompressionParameters, ShortintParameterSet,
COMP_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64,
PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64,
};
@@ -79,6 +75,66 @@ impl ParamDetails<u64> for ShortintParameterSet {
}
}
impl ParamDetails<u64> for CompactPublicKeyEncryptionParameters {
fn lwe_dimension(&self) -> LweDimension {
self.encryption_lwe_dimension
}
fn glwe_dimension(&self) -> GlweDimension {
panic!("glwe_dimension not applicable for compact public-key encryption parameters")
}
fn lwe_noise_distribution(&self) -> DynamicDistribution<u64> {
self.encryption_noise_distribution
}
fn glwe_noise_distribution(&self) -> DynamicDistribution<u64> {
panic!(
"glwe_noise_distribution not applicable for compact public-key encryption parameters"
)
}
fn polynomial_size(&self) -> PolynomialSize {
panic!("polynomial_size not applicable for compact public-key encryption parameters")
}
fn log_ciphertext_modulus(&self) -> usize {
assert!(self.ciphertext_modulus.is_native_modulus());
64
}
}
impl ParamDetails<u64> for CompressionParameters {
fn lwe_dimension(&self) -> LweDimension {
panic!("lwe_dimension not applicable for compression parameters")
}
fn glwe_dimension(&self) -> GlweDimension {
self.packing_ks_glwe_dimension
}
fn lwe_noise_distribution(&self) -> DynamicDistribution<u64> {
panic!("lwe_noise_distribution not applicable for compression parameters")
}
fn glwe_noise_distribution(&self) -> DynamicDistribution<u64> {
self.packing_ks_key_noise_distribution
}
fn polynomial_size(&self) -> PolynomialSize {
self.packing_ks_polynomial_size
}
fn log_ciphertext_modulus(&self) -> usize {
64
}
}
#[derive(Eq, PartialEq)]
enum ParametersFormat {
Lwe,
Glwe,
LweGlwe,
}
///Function to print in the lattice_estimator format the parameters
/// Format: LWE.Parameters(n=722, q=2^32, Xs=ND.UniformMod(2),
/// Xe=ND.DiscreteGaussian(56139.60810663548), tag='test_lattice_estimator')
@@ -148,6 +204,7 @@ fn write_file(file: &mut File, filename: &Path, line: impl Into<String>) {
fn write_all_params_in_file<U: UnsignedInteger, T: ParamDetails<U> + Copy + NamedParam>(
filename: &str,
params: &[T],
format: ParametersFormat,
) {
let path = Path::new(filename);
File::create(path).expect("create results file failed");
@@ -157,24 +214,33 @@ fn write_all_params_in_file<U: UnsignedInteger, T: ParamDetails<U> + Copy + Name
.expect("cannot open parsed results file");
for params in params.iter() {
write_file(
&mut file,
path,
format_lwe_parameters_to_lattice_estimator(params),
);
write_file(
&mut file,
path,
format_glwe_parameters_to_lattice_estimator(params),
);
if format == ParametersFormat::LweGlwe || format == ParametersFormat::Lwe {
write_file(
&mut file,
path,
format_lwe_parameters_to_lattice_estimator(params),
);
}
if format == ParametersFormat::LweGlwe || format == ParametersFormat::Glwe {
write_file(
&mut file,
path,
format_glwe_parameters_to_lattice_estimator(params),
);
}
}
write_file(&mut file, path, "all_params = [\n");
for params in params.iter() {
let param_lwe_name = format!("{}_LWE,", params.name());
write_file(&mut file, path, param_lwe_name);
if format == ParametersFormat::LweGlwe || format == ParametersFormat::Lwe {
let param_lwe_name = format!("{}_LWE,", params.name());
write_file(&mut file, path, param_lwe_name);
}
let param_glwe_name = format!("{}_GLWE,", params.name());
write_file(&mut file, path, param_glwe_name);
if format == ParametersFormat::LweGlwe || format == ParametersFormat::Glwe {
let param_glwe_name = format!("{}_GLWE,", params.name());
write_file(&mut file, path, param_glwe_name);
}
}
write_file(&mut file, path, "\n]\n");
}
@@ -188,6 +254,7 @@ fn main() {
write_all_params_in_file(
"boolean_parameters_lattice_estimator.sage",
&VEC_BOOLEAN_PARAM,
ParametersFormat::LweGlwe,
);
let all_classic_pbs = [
@@ -203,28 +270,29 @@ fn main() {
write_all_params_in_file(
"shortint_classic_parameters_lattice_estimator.sage",
&classic_pbs,
ParametersFormat::LweGlwe,
);
let all_multi_pbs = [
ALL_MULTI_BIT_PARAMETER_VEC.to_vec(),
vec![
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64,
PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
],
]
.concat();
let multi_bit_pbs = all_multi_pbs
let multi_bit_pbs = ALL_MULTI_BIT_PARAMETER_VEC
.iter()
.map(|p| ShortintParameterSet::from(*p))
.collect::<Vec<_>>();
write_all_params_in_file(
"shortint_multi_bit_parameters_lattice_estimator.sage",
&multi_bit_pbs,
ParametersFormat::LweGlwe,
);
write_all_params_in_file(
"shortint_cpke_parameters_lattice_estimator.sage",
&[PARAM_PKE_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64],
ParametersFormat::Lwe,
);
write_all_params_in_file(
"shortint_list_compression_parameters_lattice_estimator.sage",
&[COMP_PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64],
ParametersFormat::Glwe,
);
// TODO perform this gathering later

71
tfhe/src/shortint/keycache.rs
View File

@@ -2,6 +2,7 @@ use crate::keycache::utils::named_params_impl;
use crate::keycache::*;
use crate::shortint::parameters::classic::compact_pk::*;
use crate::shortint::parameters::classic::tuniform::p_fail_2_minus_64::ks_pbs::PARAM_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64;
use crate::shortint::parameters::compact_public_key_only::p_fail_2_minus_64::ks_pbs::PARAM_PKE_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64;
#[cfg(tarpaulin)]
use crate::shortint::parameters::coverage_parameters::*;
use crate::shortint::parameters::key_switching::p_fail_2_minus_64::ks_pbs::PARAM_KEYSWITCH_1_1_KS_PBS_TO_2_2_KS_PBS;
@@ -57,13 +58,63 @@ named_params_impl!( ShortintParameterSet =>
PARAM_MESSAGE_3_CARRY_3_PBS_KS_GAUSSIAN_2M64,
PARAM_MESSAGE_4_CARRY_4_PBS_KS_GAUSSIAN_2M64,
// MultiBit Group 2
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_5_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_6_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_5_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_5_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_5_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_5_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_6_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_6_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_7_CARRY_0_KS_PBS_GAUSSIAN_2M64,
// MultiBit Group 3
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_5_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_6_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_5_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_5_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_5_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_5_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_6_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_6_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_7_CARRY_0_KS_PBS_GAUSSIAN_2M64,
// MultiBit Group 2 GPU
PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
@@ -268,6 +319,26 @@ impl NamedParam for CompressionParameters {
}
}
impl NamedParam for CompactPublicKeyEncryptionParameters {
fn name(&self) -> String {
named_params_impl!(expose
PARAM_PKE_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64
);
named_params_impl!(
{
*self;
Self
} == (PARAM_PKE_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64)
);
format!(
"CPKE_PARAM_CUSTOM_LWE_DIM_{}_NOISE_DISTRIB_{}",
self.encryption_lwe_dimension.0, self.encryption_noise_distribution
)
}
}
impl From<PBSParameters> for (ClientKey, ServerKey) {
fn from(param: PBSParameters) -> Self {
let param_set = ShortintParameterSet::from(param);

59
tfhe/src/shortint/parameters/multi_bit/gaussian/mod.rs
View File

@@ -5,11 +5,68 @@ use crate::shortint::parameters::*;
pub mod p_fail_2_minus_64;
pub const ALL_MULTI_BIT_PARAMETER_VEC: [MultiBitPBSParameters; 6] = [
pub const ALL_MULTI_BIT_PARAMETER_VEC: [MultiBitPBSParameters; 63] = [
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_5_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_6_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_5_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_4_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_5_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_5_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_5_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_6_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_6_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_2_MESSAGE_7_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_5_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_6_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_5_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_4_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_4_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_5_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_5_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_5_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_6_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_6_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_MULTI_BIT_GROUP_3_MESSAGE_7_CARRY_0_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_TUNIFORM_2M64,
PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_2_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_1_CARRY_1_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_2_CARRY_2_KS_PBS_GAUSSIAN_2M64,
PARAM_GPU_MULTI_BIT_GROUP_3_MESSAGE_3_CARRY_3_KS_PBS_GAUSSIAN_2M64,
];