diff --git a/crates/jose/src/jwk/mod.rs b/crates/jose/src/jwk/mod.rs
index 7baf4769..aacd6155 100644
--- a/crates/jose/src/jwk/mod.rs
+++ b/crates/jose/src/jwk/mod.rs
@@ -32,10 +32,12 @@ use crate::constraints::Constrainable;
 pub(crate) mod private_parameters;
 pub(crate) mod public_parameters;
 
+use self::private_parameters::SymetricKeyError;
 pub use self::public_parameters::JsonWebKeyPublicParameters as JsonWebKeyParameters;
 
-pub trait JwkKty {
+pub trait ParametersInfo {
     fn kty(&self) -> JsonWebKeyType;
+    fn possible_algs(&self) -> &'static [JsonWebSignatureAlg];
 }
 
 trait JwkEcCurve {
@@ -96,6 +98,24 @@ pub struct JsonWebKey<P> {
 pub type PublicJsonWebKey = JsonWebKey<self::public_parameters::JsonWebKeyPublicParameters>;
 pub type PrivateJsonWebKey = JsonWebKey<self::private_parameters::JsonWebKeyPrivateParameters>;
 
+impl TryFrom<PrivateJsonWebKey> for PublicJsonWebKey {
+    type Error = SymetricKeyError;
+
+    fn try_from(value: PrivateJsonWebKey) -> Result<Self, Self::Error> {
+        Ok(Self {
+            parameters: value.parameters.try_into()?,
+            r#use: value.r#use,
+            key_ops: value.key_ops,
+            alg: value.alg,
+            kid: value.kid,
+            x5u: value.x5u,
+            x5c: value.x5c,
+            x5t: value.x5t,
+            x5t_s256: value.x5t_s256,
+        })
+    }
+}
+
 impl<P> JsonWebKey<P> {
     #[must_use]
     pub const fn new(parameters: P) -> Self {
@@ -149,7 +169,7 @@ impl<P> JsonWebKey<P> {
 
 impl<P> Constrainable for JsonWebKey<P>
 where
-    P: JwkKty,
+    P: ParametersInfo,
 {
     fn kid(&self) -> Option<&str> {
         self.kid.as_deref()
@@ -163,32 +183,7 @@ where
         if let Some(alg) = self.alg {
             Some(vec![alg])
         } else {
-            match self.parameters.kty() {
-                JsonWebKeyType::Rsa => Some(vec![
-                    JsonWebSignatureAlg::Rs256,
-                    JsonWebSignatureAlg::Rs384,
-                    JsonWebSignatureAlg::Rs512,
-                    JsonWebSignatureAlg::Ps256,
-                    JsonWebSignatureAlg::Ps384,
-                    JsonWebSignatureAlg::Ps512,
-                ]),
-                JsonWebKeyType::Ec => {
-                    todo!()
-                    /*
-                        match params.crv() {
-                        JsonWebKeyEcEllipticCurve::P256 => Some(vec![JsonWebSignatureAlg::Es256]),
-                        JsonWebKeyEcEllipticCurve::P384 => Some(vec![JsonWebSignatureAlg::Es384]),
-                        JsonWebKeyEcEllipticCurve::P521 => Some(vec![JsonWebSignatureAlg::Es512]),
-                        JsonWebKeyEcEllipticCurve::Secp256K1 => Some(vec![JsonWebSignatureAlg::Es256K]),
-                    }, */
-                }
-                JsonWebKeyType::Okp => Some(vec![JsonWebSignatureAlg::EdDsa]),
-                JsonWebKeyType::Oct => Some(vec![
-                    JsonWebSignatureAlg::Hs256,
-                    JsonWebSignatureAlg::Hs384,
-                    JsonWebSignatureAlg::Hs512,
-                ]),
-            }
+            Some(self.parameters.possible_algs().to_vec())
         }
     }
 
@@ -206,6 +201,17 @@ pub type PublicJsonWebKeySet = JsonWebKeySet<self::public_parameters::JsonWebKey
 pub type PrivateJsonWebKeySet =
     JsonWebKeySet<self::private_parameters::JsonWebKeyPrivateParameters>;
 
+impl From<PrivateJsonWebKeySet> for PublicJsonWebKeySet {
+    fn from(value: PrivateJsonWebKeySet) -> Self {
+        let keys = value
+            .keys
+            .into_iter()
+            .filter_map(|key: PrivateJsonWebKey| key.try_into().ok())
+            .collect();
+        Self { keys }
+    }
+}
+
 impl<P> std::ops::Deref for JsonWebKeySet<P> {
     type Target = Vec<JsonWebKey<P>>;
 
@@ -249,7 +255,7 @@ mod tests {
           ]
         });
 
-        let jwks: JsonWebKeySet = serde_json::from_value(jwks).unwrap();
+        let jwks: PublicJsonWebKeySet = serde_json::from_value(jwks).unwrap();
         // Both keys are RSA public keys
         for jwk in &jwks.keys {
             rsa::RsaPublicKey::try_from(jwk.parameters.clone()).unwrap();
@@ -383,7 +389,7 @@ mod tests {
           ]
         });
 
-        let jwks: JsonWebKeySet = serde_json::from_value(jwks).unwrap();
+        let jwks: PublicJsonWebKeySet = serde_json::from_value(jwks).unwrap();
         // The first 6 keys are RSA, 7th is P-256
         let mut keys = jwks.keys.into_iter();
         rsa::RsaPublicKey::try_from(keys.next().unwrap().parameters).unwrap();
diff --git a/crates/jose/src/jwk/private_parameters.rs b/crates/jose/src/jwk/private_parameters.rs
index 78a20cd3..6b9f1ea1 100644
--- a/crates/jose/src/jwk/private_parameters.rs
+++ b/crates/jose/src/jwk/private_parameters.rs
@@ -12,7 +12,9 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 
-use mas_iana::jose::{JsonWebKeyEcEllipticCurve, JsonWebKeyOkpEllipticCurve, JsonWebKeyType};
+use mas_iana::jose::{
+    JsonWebKeyEcEllipticCurve, JsonWebKeyOkpEllipticCurve, JsonWebKeyType, JsonWebSignatureAlg,
+};
 use schemars::JsonSchema;
 use serde::{Deserialize, Serialize};
 use serde_with::{
@@ -20,8 +22,9 @@ use serde_with::{
     formats::Unpadded,
     serde_as,
 };
+use thiserror::Error;
 
-use super::JwkKty;
+use super::{public_parameters::JsonWebKeyPublicParameters, ParametersInfo};
 
 #[serde_as]
 #[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize, JsonSchema)]
@@ -40,7 +43,7 @@ pub enum JsonWebKeyPrivateParameters {
     Okp(OkpPrivateParameters),
 }
 
-impl JwkKty for JsonWebKeyPrivateParameters {
+impl ParametersInfo for JsonWebKeyPrivateParameters {
     fn kty(&self) -> JsonWebKeyType {
         match self {
             Self::Oct(_) => JsonWebKeyType::Oct,
@@ -49,6 +52,32 @@ impl JwkKty for JsonWebKeyPrivateParameters {
             Self::Okp(_) => JsonWebKeyType::Okp,
         }
     }
+
+    fn possible_algs(&self) -> &'static [JsonWebSignatureAlg] {
+        match self {
+            JsonWebKeyPrivateParameters::Oct(p) => p.possible_algs(),
+            JsonWebKeyPrivateParameters::Rsa(p) => p.possible_algs(),
+            JsonWebKeyPrivateParameters::Ec(p) => p.possible_algs(),
+            JsonWebKeyPrivateParameters::Okp(p) => p.possible_algs(),
+        }
+    }
+}
+
+#[derive(Debug, Error)]
+#[error("can't extract a public key out of a symetric key")]
+pub struct SymetricKeyError;
+
+impl TryFrom<JsonWebKeyPrivateParameters> for JsonWebKeyPublicParameters {
+    type Error = SymetricKeyError;
+
+    fn try_from(value: JsonWebKeyPrivateParameters) -> Result<Self, Self::Error> {
+        match value {
+            JsonWebKeyPrivateParameters::Oct(_) => Err(SymetricKeyError),
+            JsonWebKeyPrivateParameters::Rsa(p) => Ok(JsonWebKeyPublicParameters::Rsa(p.into())),
+            JsonWebKeyPrivateParameters::Ec(p) => Ok(JsonWebKeyPublicParameters::Ec(p.into())),
+            JsonWebKeyPrivateParameters::Okp(p) => Ok(JsonWebKeyPublicParameters::Okp(p.into())),
+        }
+    }
 }
 
 #[serde_as]
@@ -60,6 +89,20 @@ pub struct OctPrivateParameters {
     k: Vec<u8>,
 }
 
+impl ParametersInfo for OctPrivateParameters {
+    fn kty(&self) -> JsonWebKeyType {
+        JsonWebKeyType::Oct
+    }
+
+    fn possible_algs(&self) -> &'static [JsonWebSignatureAlg] {
+        &[
+            JsonWebSignatureAlg::Hs256,
+            JsonWebSignatureAlg::Hs384,
+            JsonWebSignatureAlg::Hs512,
+        ]
+    }
+}
+
 #[serde_as]
 #[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize, JsonSchema)]
 pub struct RsaPrivateParameters {
@@ -108,6 +151,29 @@ pub struct RsaPrivateParameters {
     oth: Option<Vec<RsaOtherPrimeInfo>>,
 }
 
+impl ParametersInfo for RsaPrivateParameters {
+    fn kty(&self) -> JsonWebKeyType {
+        JsonWebKeyType::Rsa
+    }
+
+    fn possible_algs(&self) -> &'static [JsonWebSignatureAlg] {
+        &[
+            JsonWebSignatureAlg::Rs256,
+            JsonWebSignatureAlg::Rs384,
+            JsonWebSignatureAlg::Rs512,
+            JsonWebSignatureAlg::Ps256,
+            JsonWebSignatureAlg::Ps384,
+            JsonWebSignatureAlg::Ps512,
+        ]
+    }
+}
+
+impl From<RsaPrivateParameters> for super::public_parameters::RsaPublicParameters {
+    fn from(params: RsaPrivateParameters) -> Self {
+        Self::new(params.n, params.e)
+    }
+}
+
 #[serde_as]
 #[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize, JsonSchema)]
 struct RsaOtherPrimeInfo {
@@ -177,6 +243,27 @@ pub struct EcPrivateParameters {
     d: Vec<u8>,
 }
 
+impl ParametersInfo for EcPrivateParameters {
+    fn kty(&self) -> JsonWebKeyType {
+        JsonWebKeyType::Ec
+    }
+
+    fn possible_algs(&self) -> &'static [JsonWebSignatureAlg] {
+        match self.crv {
+            JsonWebKeyEcEllipticCurve::P256 => &[JsonWebSignatureAlg::Es256],
+            JsonWebKeyEcEllipticCurve::P384 => &[JsonWebSignatureAlg::Es384],
+            JsonWebKeyEcEllipticCurve::P521 => &[JsonWebSignatureAlg::Es512],
+            JsonWebKeyEcEllipticCurve::Secp256K1 => &[JsonWebSignatureAlg::Es256K],
+        }
+    }
+}
+
+impl From<EcPrivateParameters> for super::public_parameters::EcPublicParameters {
+    fn from(params: EcPrivateParameters) -> Self {
+        Self::new(params.crv, params.x, params.y)
+    }
+}
+
 mod ec_impls {
     use digest::typenum::Unsigned;
     use ecdsa::EncodedPoint;
@@ -267,3 +354,19 @@ pub struct OkpPrivateParameters {
     #[serde_as(as = "Base64<UrlSafe, Unpadded>")]
     x: Vec<u8>,
 }
+
+impl ParametersInfo for OkpPrivateParameters {
+    fn kty(&self) -> JsonWebKeyType {
+        JsonWebKeyType::Okp
+    }
+
+    fn possible_algs(&self) -> &'static [JsonWebSignatureAlg] {
+        &[JsonWebSignatureAlg::EdDsa]
+    }
+}
+
+impl From<OkpPrivateParameters> for super::public_parameters::OkpPublicParameters {
+    fn from(params: OkpPrivateParameters) -> Self {
+        Self::new(params.crv, params.x)
+    }
+}
diff --git a/crates/jose/src/jwk/public_parameters.rs b/crates/jose/src/jwk/public_parameters.rs
index 2fe00dc4..2366a334 100644
--- a/crates/jose/src/jwk/public_parameters.rs
+++ b/crates/jose/src/jwk/public_parameters.rs
@@ -12,7 +12,9 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 
-use mas_iana::jose::{JsonWebKeyEcEllipticCurve, JsonWebKeyOkpEllipticCurve, JsonWebKeyType};
+use mas_iana::jose::{
+    JsonWebKeyEcEllipticCurve, JsonWebKeyOkpEllipticCurve, JsonWebKeyType, JsonWebSignatureAlg,
+};
 use schemars::JsonSchema;
 use serde::{Deserialize, Serialize};
 use serde_with::{
@@ -21,7 +23,7 @@ use serde_with::{
     serde_as,
 };
 
-use super::JwkKty;
+use super::ParametersInfo;
 
 #[serde_as]
 #[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize, JsonSchema)]
@@ -37,7 +39,7 @@ pub enum JsonWebKeyPublicParameters {
     Okp(OkpPublicParameters),
 }
 
-impl JwkKty for JsonWebKeyPublicParameters {
+impl ParametersInfo for JsonWebKeyPublicParameters {
     fn kty(&self) -> JsonWebKeyType {
         match self {
             Self::Rsa(_) => JsonWebKeyType::Rsa,
@@ -45,6 +47,14 @@ impl JwkKty for JsonWebKeyPublicParameters {
             Self::Okp(_) => JsonWebKeyType::Okp,
         }
     }
+
+    fn possible_algs(&self) -> &'static [JsonWebSignatureAlg] {
+        match self {
+            JsonWebKeyPublicParameters::Rsa(p) => p.possible_algs(),
+            JsonWebKeyPublicParameters::Ec(p) => p.possible_algs(),
+            JsonWebKeyPublicParameters::Okp(p) => p.possible_algs(),
+        }
+    }
 }
 
 #[serde_as]
@@ -59,6 +69,29 @@ pub struct RsaPublicParameters {
     e: Vec<u8>,
 }
 
+impl ParametersInfo for RsaPublicParameters {
+    fn kty(&self) -> JsonWebKeyType {
+        JsonWebKeyType::Rsa
+    }
+
+    fn possible_algs(&self) -> &'static [JsonWebSignatureAlg] {
+        &[
+            JsonWebSignatureAlg::Rs256,
+            JsonWebSignatureAlg::Rs384,
+            JsonWebSignatureAlg::Rs512,
+            JsonWebSignatureAlg::Ps256,
+            JsonWebSignatureAlg::Ps384,
+            JsonWebSignatureAlg::Ps512,
+        ]
+    }
+}
+
+impl RsaPublicParameters {
+    pub const fn new(n: Vec<u8>, e: Vec<u8>) -> Self {
+        Self { n, e }
+    }
+}
+
 #[serde_as]
 #[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize, JsonSchema)]
 pub struct EcPublicParameters {
@@ -73,6 +106,31 @@ pub struct EcPublicParameters {
     y: Vec<u8>,
 }
 
+impl EcPublicParameters {
+    pub const fn new(crv: JsonWebKeyEcEllipticCurve, x: Vec<u8>, y: Vec<u8>) -> Self {
+        Self { crv, x, y }
+    }
+
+    pub const fn crv(&self) -> JsonWebKeyEcEllipticCurve {
+        self.crv
+    }
+}
+
+impl ParametersInfo for EcPublicParameters {
+    fn kty(&self) -> JsonWebKeyType {
+        JsonWebKeyType::Ec
+    }
+
+    fn possible_algs(&self) -> &'static [JsonWebSignatureAlg] {
+        match self.crv {
+            JsonWebKeyEcEllipticCurve::P256 => &[JsonWebSignatureAlg::Es256],
+            JsonWebKeyEcEllipticCurve::P384 => &[JsonWebSignatureAlg::Es384],
+            JsonWebKeyEcEllipticCurve::P521 => &[JsonWebSignatureAlg::Es512],
+            JsonWebKeyEcEllipticCurve::Secp256K1 => &[JsonWebSignatureAlg::Es256K],
+        }
+    }
+}
+
 #[serde_as]
 #[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize, JsonSchema)]
 pub struct OkpPublicParameters {
@@ -83,8 +141,22 @@ pub struct OkpPublicParameters {
     x: Vec<u8>,
 }
 
-impl EcPublicParameters {
-    pub const fn crv(&self) -> JsonWebKeyEcEllipticCurve {
+impl ParametersInfo for OkpPublicParameters {
+    fn kty(&self) -> JsonWebKeyType {
+        JsonWebKeyType::Okp
+    }
+
+    fn possible_algs(&self) -> &'static [JsonWebSignatureAlg] {
+        &[JsonWebSignatureAlg::EdDsa]
+    }
+}
+
+impl OkpPublicParameters {
+    pub const fn new(crv: JsonWebKeyOkpEllipticCurve, x: Vec<u8>) -> Self {
+        Self { crv, x }
+    }
+
+    pub const fn crv(&self) -> JsonWebKeyOkpEllipticCurve {
         self.crv
     }
 }
diff --git a/crates/jose/tests/jws.rs b/crates/jose/tests/jws.rs
index 6cabfb67..82078e41 100644
--- a/crates/jose/tests/jws.rs
+++ b/crates/jose/tests/jws.rs
@@ -14,7 +14,11 @@
 
 use std::ops::Deref;
 
-use mas_jose::{constraints::ConstraintSet, JsonWebKeySet, Jwt};
+use mas_jose::{
+    constraints::ConstraintSet,
+    jwk::{PrivateJsonWebKeySet, PublicJsonWebKeySet},
+    Jwt,
+};
 use serde::Deserialize;
 
 static HS256_JWT: &str = include_str!("./jwts/hs256.jwt");
@@ -34,10 +38,14 @@ static EDDSA_ED25519_JWT: &str = include_str!("./jwts/eddsa-ed25519.jwt");
 static EDDSA_ED448_JWT: &str = include_str!("./jwts/eddsa-ed448.jwt");
 static OCT_KEY: &[u8] = include_bytes!("./keys/oct.bin");
 
-fn public_jwks() -> JsonWebKeySet {
+fn public_jwks() -> PublicJsonWebKeySet {
     serde_json::from_str(include_str!("./keys/jwks.pub.json")).unwrap()
 }
 
+fn private_jwks() -> PrivateJsonWebKeySet {
+    serde_json::from_str(include_str!("./keys/jwks.priv.json")).unwrap()
+}
+
 fn oct_key() -> Vec<u8> {
     OCT_KEY.to_vec()
 }
@@ -105,3 +113,11 @@ asymetric_jwt_test!(test_es512, ES512_JWT, verify = false);
 asymetric_jwt_test!(test_es256k, ES256K_JWT);
 asymetric_jwt_test!(test_eddsa_ed25519, EDDSA_ED25519_JWT, verify = false);
 asymetric_jwt_test!(test_eddsa_ed448, EDDSA_ED448_JWT, verify = false);
+
+#[test]
+fn test_private_to_public_jwks() {
+    let priv_jwks = private_jwks();
+    let pub_jwks = PublicJsonWebKeySet::from(priv_jwks);
+
+    assert_eq!(pub_jwks, public_jwks());
+}