can have the same public key two diferent <RSAKeyValue> representations ???

I have signed an XML with two different algorithms,
they produced the same signature:

<SignatureValue>cWmKHs9Y8kDgb18KEqzwonsAhXhcbCPJlgLKw1j4LA8FE+ZNJEFWDkD8EE+x+IF+HqrhtHaP9VNH 3DZXj7d2TaD2FZg2P7H48VHZBRTXguHJ4VAoJGWVCEOWJIgAYPYY9AwCzAP7Fq1CK0tVjZuOx/kj 1pXSR2N7nhcINoy0nwI=</SignatureValue> 

and the same X509Certificate:

<X509Data>
  <X509Certificate>MIIFYjCCBEqgAwIBAgIRAOQcxH0LRFgNXlhsKI68ao8wDQYJKoZIhvcNAQEFBQAwgdIxCzAJBgNV BAYTAkNMMR0wGwYDVQQIExRSZWdpb24gTWV0cm9wb2xpdGFuYTERMA8GA1UEBxMIU2FudGlhZ28x JDAiBgNVBAoTG0NhbWFyYSBOYWNpb25hbCBkZSBDb21lcmNpbzENMAsGA1UECxMET05DRTEfMB0G A1UEAxMWT05DRSBQRVJTT05BUywgQ2xhc2UgMzEfMB0GCSqGSIb3DQEJARYQYWRtaW5vbmNlQGNu Yy5jbDEaMBgGCgmSJomT8ixkAQETCjcwMDA4MzEwLTEwHhcNMDQwMTEzMTk1MzU2WhcNMDcwMTEz MjM1MzU2WjCB3TELMAkGA1UEBhMCQ0wxJTAjBgNVBAoTHENvbnNpc3QgVGVsZWluZm9ybWF0aWNh IFMuQS4xGTAXBgNVBAsTEEVtcGxlYWRvIEVtcHJlc2ExEzARBgNVBAsTCkluZ2VuaWVyaWExGjAY BgNVBAMTEUFuZHJlYSBWYWxlbnp1ZWxhMRwwGgYDVQQqExNJbmdlbmllcm8gQ29uc3VsdG9yMSIw IAYJKoZIhvcNAQkBFhNhdmFsZW56dUBjb25zaXN0LmNsMRkwFwYKCZImiZPyLGQBARMJOTEyNjc0 OS03MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQC054P5xF7eI6fLWrXNRB6rXi8HaL8Ecrnk brgdEOz4rFp+bs3WgjioZyJB/QYLZcCSRMHfrGBKFO8CI9zXC5WiIP68qU0M/gJTSpolCMQGB2wi dSx93BAXLfR1GOGI5XldXCvSKeo9SDUOj481YjTJ4OdkcHnkrj4v4ZvfGGn2RwIDAQABo4IBqDCC AaQwHwYDVR0jBBgwFoAUxdKD8zXp4e6uQwaM95MtLpQnUmcwCQYDVR0TBAIwADCBkwYDVR0gBIGL MIGIMIGFBgQqAwQFMH0wSwYIKwYBBQUHAgIwPxo9Q2VydGlmaWNhZG8gdmFsaWRvIHBhcmEgVHJh bnNhY2Npb25lcyBkZSBGYWN0dXJhIEVsZWN0cm9uaWNhLjAuBggrBgEFBQcCARYiaHR0cDovL3d3 dy5jbmMtb25jZS5jbC9mcmFtZTEwLmh0bTAjBgNVHRIEHDAaoBgGCCsGAQQBwQECoAwTCjcwMDA4 MzEwLTEwDgYDVR0PAQH/BAQDAgTwMBEGCWCGSAGG+EIBAQQEAwIFoDA8BgNVHREENTAzoBcGCCsG AQQBwQEBoAsTCTkxMjY3NDktN6AYBggrBgEEAcEBA6AMEwo5NjU4NzQxMC0wMB0GA1UdDgQWBBQP jv9ZI7GZDDnSfAESYWIWR6jZ4zA7BgNVHR8ENDAyMDCgLqAshipodHRwOi8vY2EuY25jLW9uY2Uu Y2w6NDQ3L0NOQy1QZXJzb25hcy5jcmwwDQYJKoZIhvcNAQEFBQADggEBABtBFuczwGld7aX+iN8H cPj3iVHSQQnFndsWydKpresdNmr04fU8SXCVsrGcqYIwK+2VbkWBmFQ9NCU+U/StZ9ibwOEnCHRF kK8ha2BLtGaGHP1u9/TjThTto77EGsGhuXaXUjSsYVBfD0EldZ/NIkhZLsBsX6DqYxozmmUsHcWC 2ihEL3abDnKEq1LcrINIktOqIruUOn2PvIW2+ai3lPTeiSp3ZVw+1qouacF71oCPNHn6HnrnIvpt 4JERrifPdnRuK/vtepL7Srrpbc4NnsZArL3sj+l7365rAJ2fyC9oijIh2+pV+Rrcn7oVgnV092vP RE9GJ/bUs9So2n+kawk=</X509Certificate> 
  </X509Data>

but diferent Modulus+Exponent pair.

- <RSAKeyValue>
  <Modulus>ALTng/nEXt4jp8tatc1EHqteLwdovwRyueRuuB0Q7PisWn5uzdaCOKhnIkH9BgtlwJJEwd+sYEoU 7wIj3NcLlaIg/rypTQz+AlNKmiUIxAYHbCJ1LH3cEBct9HUY4YjleV1cK9Ip6j1INQ6PjzViNMng 52RweeSuPi/hm98YafZH</Modulus> 
  <Exponent>AQAB</Exponent> 
  </RSAKeyValue>
  </KeyValue>

and

- <RSAKeyValue>
  <Modulus>tOeD+cRe3iOny1q1zUQeq14vB2i/BHK55G64HRDs+Kxafm7N1oI4qGciQf0GC2XAkkTB36xgShTv AiPc1wuVoiD+vKlNDP4CU0qaJQjEBgdsInUsfdwQFy30dRjhiOV5XVwr0inqPUg1Do+PNWI0yeDn ZHB55K4+L+Gb3xhp9kc=</Modulus> 
  <Exponent>AQAB</Exponent> 
  </RSAKeyValue>


i dind´t know that a Public Key could have two different Modulus+Exponent pairs representation,
is this logical???

I verified both signatures with two diferent toolkits and both are valid, (i deleted de <X509Data> to force validation by RSAKeyValue instead of X509Certificate.
The references in <SignedInfo> are correct too.


Thanks & Regards,
Martin


I deleted the X509Certificate to force validation by