diff --git a/t/baseline_data/default_testssl.csvfile b/t/baseline_data/default_testssl.csvfile
index 4a0866b..28118ba 100644
--- a/t/baseline_data/default_testssl.csvfile
+++ b/t/baseline_data/default_testssl.csvfile
@@ -66,8 +66,8 @@
 "FS_ciphers","testssl.sh/81.169.166.184","443","INFO","TLS_AES_256_GCM_SHA384 TLS_CHACHA20_POLY1305_SHA256 ECDHE-RSA-AES256-GCM-SHA384 ECDHE-RSA-AES256-SHA384 ECDHE-RSA-AES256-SHA DHE-RSA-AES256-GCM-SHA384 DHE-RSA-AES256-SHA256 DHE-RSA-AES256-SHA DHE-RSA-CAMELLIA256-SHA TLS_AES_128_GCM_SHA256 ECDHE-RSA-AES128-GCM-SHA256 ECDHE-RSA-AES128-SHA DHE-RSA-AES128-GCM-SHA256 DHE-RSA-AES128-SHA256 DHE-RSA-AES128-SHA DHE-RSA-CAMELLIA128-SHA","",""
 "FS_ECDHE_curves","testssl.sh/81.169.166.184","443","OK","prime256v1 secp384r1 secp521r1 X25519 X448","",""
 "DH_groups","testssl.sh/81.169.166.184","443","OK","Unknown DH group (2048 bits)","",""
-"FS_TLS12_sig_algs","testssl.sh/81.169.166.184","443","INFO","RSA-PSS+SHA256 RSA-PSS+SHA384 RSA-PSS+SHA512 RSA+SHA256 RSA+SHA384 RSA+SHA512 RSA+SHA224","",""
-"FS_TLS13_sig_algs","testssl.sh/81.169.166.184","443","INFO","RSA-PSS+SHA256 RSA-PSS+SHA384 RSA-PSS+SHA512","",""
+"FS_TLS12_sig_algs","testssl.sh/81.169.166.184","443","INFO","RSA-PSS-RSAE+SHA256 RSA-PSS-RSAE+SHA384 RSA-PSS-RSAE+SHA512 RSA+SHA256 RSA+SHA384 RSA+SHA512 RSA+SHA224","",""
+"FS_TLS13_sig_algs","testssl.sh/81.169.166.184","443","INFO","RSA-PSS-RSAE+SHA256 RSA-PSS-RSAE+SHA384 RSA-PSS-RSAE+SHA512","",""
 "HTTP_status_code","testssl.sh/81.169.166.184","443","INFO","200 OK ('/')","",""
 "HTTP_clock_skew","testssl.sh/81.169.166.184","443","INFO","0 seconds from localtime","",""
 "HTTP_headerTime","testssl.sh/81.169.166.184","443","INFO","1654006271","",""
diff --git a/testssl.sh b/testssl.sh
index 3c7c338..66c8a3c 100755
--- a/testssl.sh
+++ b/testssl.sh
@@ -10385,7 +10385,7 @@ run_fs() {
      local -a ffdhe_groups_output=("ffdhe2048" "ffdhe3072" "ffdhe4096" "ffdhe6144" "ffdhe8192")
      local -a supported_curve
      local -a sigalgs_hex=("01,01" "01,02" "01,03" "02,01" "02,02" "02,03" "03,01" "03,02" "03,03" "04,01" "04,02" "04,03" "04,20" "05,01" "05,02" "05,03" "05,20" "06,01" "06,02" "06,03" "06,20" "07,08" "08,04" "08,05" "08,06" "08,07" "08,08" "08,09" "08,0a" "08,0b" "08,1a" "08,1b" "08,1c")
-     local -a sigalgs_strings=("RSA+MD5" "DSA+MD5" "ECDSA+MD5" "RSA+SHA1" "DSA+SHA1" "ECDSA+SHA1" "RSA+SHA224" "DSA+SHA224" "ECDSA+SHA224" "RSA+SHA256" "DSA+SHA256" "ECDSA+SHA256" "RSA+SHA256" "RSA+SHA384" "DSA+SHA384" "ECDSA+SHA384" "RSA+SHA384" "RSA+SHA512" "DSA+SHA512" "ECDSA+SHA512" "RSA+SHA512" "SM2+SM3" "RSA-PSS+SHA256" "RSA-PSS+SHA384" "RSA-PSS+SHA512" "Ed25519" "Ed448" "RSA-PSS+SHA256" "RSA-PSS+SHA384" "RSA-PSS+SHA512" "ECDSA+SHA256" "ECDSA+SHA384" "ECDSA+SHA512")
+     local -a sigalgs_strings=("RSA+MD5" "DSA+MD5" "ECDSA+MD5" "RSA+SHA1" "DSA+SHA1" "ECDSA+SHA1" "RSA+SHA224" "DSA+SHA224" "ECDSA+SHA224" "RSA+SHA256" "DSA+SHA256" "ECDSA+SHA256" "RSA+SHA256" "RSA+SHA384" "DSA+SHA384" "ECDSA+SHA384" "RSA+SHA384" "RSA+SHA512" "DSA+SHA512" "ECDSA+SHA512" "RSA+SHA512" "SM2+SM3" "RSA-PSS-RSAE+SHA256" "RSA-PSS-RSAE+SHA384" "RSA-PSS-RSAE+SHA512" "Ed25519" "Ed448" "RSA-PSS-PSS+SHA256" "RSA-PSS-PSS+SHA384" "RSA-PSS-PSS+SHA512" "ECDSA+SHA256" "ECDSA+SHA384" "ECDSA+SHA512")
      local -a tls13_supported_sigalgs=("false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false")
      local -a tls12_supported_sigalgs=("false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false" "false")
      local rsa_cipher="" ecdsa_cipher="" dss_cipher=""
@@ -15038,14 +15038,14 @@ parse_tls_serverhello() {
      if [[ 0x$peering_signing_digest -eq 8 ]] && \
         [[ 0x$peer_signature_type -ge 4 ]] && [[ 0x$peer_signature_type -le 11 ]]; then
           case $peer_signature_type in
-               04) peering_signing_digest="SHA256"; peer_signature_type="RSA-PSS" ;;
-               05) peering_signing_digest="SHA384"; peer_signature_type="RSA-PSS" ;;
-               06) peering_signing_digest="SHA512"; peer_signature_type="RSA-PSS" ;;
+               04) peering_signing_digest="SHA256"; peer_signature_type="RSA-PSS-RSAE" ;;
+               05) peering_signing_digest="SHA384"; peer_signature_type="RSA-PSS-RSAE" ;;
+               06) peering_signing_digest="SHA512"; peer_signature_type="RSA-PSS-RSAE" ;;
                07) peering_signing_digest=""; peer_signature_type="Ed25519" ;;
                08) peering_signing_digest=""; peer_signature_type="Ed448" ;;
-               09) peering_signing_digest="SHA256"; peer_signature_type="RSA-PSS" ;;
-               0A) peering_signing_digest="SHA384"; peer_signature_type="RSA-PSS" ;;
-               0B) peering_signing_digest="SHA512"; peer_signature_type="RSA-PSS" ;;
+               09) peering_signing_digest="SHA256"; peer_signature_type="RSA-PSS-PSS" ;;
+               0A) peering_signing_digest="SHA384"; peer_signature_type="RSA-PSS-PSS" ;;
+               0B) peering_signing_digest="SHA512"; peer_signature_type="RSA-PSS-PSS" ;;
           esac
           if [[ -n "$peering_signing_digest" ]]; then
                echo "Peer signing digest: $peering_signing_digest" >> $TMPFILE