diff --git a/inc/teep/teep_message_data.h b/inc/teep/teep_message_data.h
index 9ae323f..bba601e 100644
--- a/inc/teep/teep_message_data.h
+++ b/inc/teep/teep_message_data.h
@@ -86,11 +86,14 @@ typedef enum teep_cose_algs {
     TEEP_COSE_MAC_HMAC256               = 5,        // cose-alg-hmac-256-256
     TEEP_COSE_SIGN_ES256                = -7,       // cose-alg-es256
     TEEP_COSE_SIGN_EDDSA                = -8,       // cose-alg-eddsa
+    TEEP_COSE_SIGN_ESP256               = -9,       // cose-alg-esp256
+    TEEP_COSE_SIGN_ED25519              = -19,      // cose-alg-ed25519
     TEEP_COSE_SIGN_HSS_LMS              = -46,      // cose-alg-hss-lms
 
     /* key_exchange algorithms */
     TEEP_COSE_A128KW                    = -3,       // cose-alg-aeskw-128
     TEEP_COSE_ECDHES_HKDF256            = -25,      // cose-alg-ecdh-es-hkdf-256
+    TEEP_COSE_ECDHES_A128KW             = -29,      // cose-alg-ecdh-es-a128kw
 
     /* encryption algorithms */
     TEEP_COSE_ENCRYPT_A128_GCM          = 1,        // cose-alg-aes-gcm-128
diff --git a/src/teep_message_print.c b/src/teep_message_print.c
index 2836225..79f3c08 100644
--- a/src/teep_message_print.c
+++ b/src/teep_message_print.c
@@ -228,8 +228,12 @@ char *teep_cose_algs_key_to_str(int64_t cose_algs_key)
         return "HMAC-256";
     case TEEP_COSE_SIGN_ES256:
         return "ES256";
+    case TEEP_COSE_SIGN_ESP256:
+        return "ESP256";
     case TEEP_COSE_SIGN_EDDSA:
         return "EdDSA";
+    case TEEP_COSE_SIGN_ED25519:
+        return "Ed25519";
     case TEEP_COSE_SIGN_HSS_LMS:
         return "HSS-LMS";
 
@@ -238,6 +242,8 @@ char *teep_cose_algs_key_to_str(int64_t cose_algs_key)
         return "A128KW";
     case TEEP_COSE_ECDHES_HKDF256:
         return "ECDH-ES+HKDF-256";
+    case TEEP_COSE_ECDHES_A128KW:
+        return "ECDH-ES+A128KW";
 
     /* encryption algorithms */
     case TEEP_COSE_ENCRYPT_A128_GCM: