Content-Type: multipart/signed; boundary="Apple-Mail-722B1F51-5D8E-46F2-98FE-2E0202299E2A"; protocol="application/pkcs7-signature"; micalg=sha-256 --Apple-Mail-722B1F51-5D8E-46F2-98FE-2E0202299E2A Content-Type: multipart/alternative; boundary=Apple-Mail-457FE4A2-76C2-44EE-9997-1E58FC7B5340 Content-Transfer-Encoding: 7bit --Apple-Mail-457FE4A2-76C2-44EE-9997-1E58FC7B5340 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable NIST.IR report pointed out that Falcon implementations could be difficult t= o validate, because of its use of floating point.=20 There was Zalcon proposal that came late, but seemed to address the main sh= ortcomings of Falcon. Since NIST already announced its plans to standardize= Falcon - IMHO, it would be nice if Zalcon was considered for the 4th round= , it=E2=80=99s =E2=80=9Clate coming=E2=80=9D perhaps compensated by its sim= ilarities with the winner Falcon. Thanks. Regards, Uri > On Aug 11, 2022, at 17:27, 'dustin...@nist.gov' via pqc-forum wrote: >=20 > =EF=BB=BF > In response to the question "Should NIST now have an on-ramp for new KEMs= ?" we wanted to share our current view. We are initiating the call for add= itional signatures primarily because we want a digital signature scheme tha= t is not based on lattices and can be easily used by most applications. Fo= r the KEMs, we feel that with the candidates in the 4th round we will be ab= le to achieve that same objective. Thus for now, we do not have any plans = to initiate a new call for KEMs. =20 >=20 > Standardization efforts in PQC will undoubtedly continue for many years, = and new and ongoing research results will impact this. So we also are not = ruling out that we could call for additional KEMs at some point in the futu= re. =20 >=20 > Dustin Moody > NIST >=20 >> On Friday, August 5, 2022 at 11:41:13 AM UTC-4 danibrown%bl...@gtempacco= unt.com wrote: >> Should NIST now have an on-ramp for new KEMs? >>=20 >>> On Saturday, July 30, 2022 at 7:12:56 PM UTC-4 dj...@uwaterloo.ca wrote= : >>> I was waiting in order to give the authors of the paper an opportunity = to announce their results to the forum, in case they should wish to do so, = but since someone else has already written about it, it's fair game to chim= e in now. >>>=20 >>> The result is legitimate, and very impressive. Huge congratulations to = Castryck and Decru. >>>=20 >>> At first sight, the attack in 2022/975 uses knowledge of the endomorphi= sm ring of the starting curve. As mentioned on page 2 of 2022/975, a possib= le "tweak" to SIKE was described in Section 8 of 2021/543 which could poten= tially thwart this attack. The tweak consists of randomly generating a star= ting curve of unknown endomorphism ring as part of the public key generatio= n process. However, attacks always get better, never worse. It is possible = that after further analysis, 2022/975's apparent dependence on knowledge of= the starting curve's endomorphism ring will turn out to be spurious. More = analysis is needed before we would be able to make any sort of confident cl= aim as to whether or not the tweak would thwart the new attack. >>>=20 >>> -David >>>> On 2022-07-30 6:58 p.m., Doge Protocol wrote: >>>> Came accross this today and would like to share with the community. >>>>=20 >>>> https://eprint.iacr.org/2022/975 >>>>=20 >>>> Our Magma implementation breaks the instantiation SIKEp434, which aims= at security level 1 of the Post-Quantum Cryptography standardization proce= ss currently ran by NIST, in about one hour on a single core.=20 >>>>=20 >>>> Ran on a single core, the ap- >>>> pended Magma code breaks the Microsoft SIKE challenges $IKEp182 and $I= KEp217 >>>> in about 4 minutes and 6 minutes, respectively. A run on the SIKEp434 = parame- >>>> ters, previously believed to meet NIST=E2=80=99s quantum security leve= l 1, took about 62 >>>> minutes, again on a single core. We also ran the code on random instan= ces of >>>> SIKEp503 (level 2), SIKEp610 (level 3) and SIKEp751 (level 5), which t= ook about >>>> 2h19m, 8h15m and 20h37m, respectively. >>>>=20 >>>>=20 >>=20 >>>> --=20 >>>> You received this message because you are subscribed to the Google Gro= ups "pqc-forum" group. >>=20 >>>> To unsubscribe from this group and stop receiving emails from it, send= an email to pqc-forum+...@list.nist.gov. >>=20 >>>>=20 >>>> To view this discussion on the web visit https://groups.google.com/a/l= ist.nist.gov/d/msgid/pqc-forum/34f051a6-0f59-4aec-9bff-fe16511f0ae7n%40list= .nist.gov. >=20 > --=20 > You received this message because you are subscribed to the Google Groups= "pqc-forum" group. > To unsubscribe from this group and stop receiving emails from it, send an= email to pqc-forum+unsubscribe@list.nist.gov. > To view this discussion on the web visit https://groups.google.com/a/list= .nist.gov/d/msgid/pqc-forum/668dbc04-b681-4ee2-b2e2-d5665df71ed4n%40list.ni= st.gov. --=20 You received this message because you are subscribed to the Google Groups "= pqc-forum" group. To unsubscribe from this group and stop receiving emails from it, send an e= mail to pqc-forum+unsubscribe@list.nist.gov. To view this discussion on the web visit https://groups.google.com/a/list.n= ist.gov/d/msgid/pqc-forum/ECB1F432-7917-400C-A926-9D85698AA94B%40ll.mit.edu= . --Apple-Mail-457FE4A2-76C2-44EE-9997-1E58FC7B5340 Content-Type: text/html; charset="UTF-8" Content-Transfer-Encoding: quoted-printable NIST.IR report pointed out that Falcon = implementations could be difficult to validate, because of its use of float= ing point. 

There was Zalcon proposal that came lat= e, but seemed to address the main shortcomings of Falcon. Since NIST alread= y announced its plans to standardize Falcon - IMHO, it would be nice if Zal= con was considered for the 4th round, it=E2=80=99s =E2=80=9Clate coming=E2= =80=9D perhaps compensated by its similarities with the winner Falcon.

Thanks.

Regards,
Uri
=

On Aug 11, 2022, at 17= :27, 'dustin...@nist.gov' via pqc-forum <pqc-forum@list.nist.gov> wro= te:

= =EF=BB=BF
In response to the question "Should NIST now have an on-ramp fo= r new KEMs?" we wanted to share our current view.  We are initiating t= he call for additional signatures primarily because we want a digital signa= ture scheme that is not based on lattices and can be easily used by most ap= plications.  For the KEMs, we feel that with the candidates in the 4th= round we will be able to achieve that same objective.  Thus for now, = we do not have any plans to initiate a new call for KEMs.  
=

Standardization efforts in PQC will undoubtedly continu= e for many years, and new and ongoing research results will impact this.&nb= sp; So we also are not ruling out that we could call for additional KEMs at= some point in the future.  

Dustin Mood= y
NIST

On Friday, August 5, 2022 at 11:41:13 AM UTC-4 danibrown%b= l...@gtempaccount.com wrote:
Should NIST now have an on-ramp for new KEMs?

=
On Saturday, July 30, 2022 at 7:12:56 PM UTC-4 dj...@= uwaterloo.ca wrote:
=20 =20 =20

I was waiting in order to give the authors of the paper an opportunity to announce their results to the forum, in case they should wish to do so, but since someone else has already written about it, it's fair game to chime in now.

The result is legitimate, and very impressive. Huge congratulations to Castryck and Decru.

At first sight, the attack in 2022/975 uses knowledge of the endomorphism ring of the starting curve. As mentioned on page 2 of 2022/975, a possible "tweak" to SIKE was described in Section 8 of 2021/543 which could potentially thwart this attack. The tweak consists of randomly generating a starting curve of unknown endomorphism ring as part of the public key generation process. However, attacks always get better, never worse. It is possible that after further analysis, 2022/975's apparent dependence on knowledge of the starting curve's endomorphism ring will turn out to be spurious. More analysis is needed before we would be able to make any sort of confident claim as to whether or not the tweak would thwart the new attack.

-David

On 2022-07-30 6:58 p.m., Doge Protocol wrote:
=20 Came accross this today and would like to share with the community.

https://eprint.iacr.org= /2022/975

Our Magma implementation breaks the instantiation SIKEp434, which aims at security level 1 of the Post-Quantum Cryptography standardization process currently ran by NIST, in about one hour on a single core. 

Ran on a single core, the ap-
pended Magma code breaks the Microsoft SIKE challenges $IKEp182 and $IKEp217
in about 4 minutes and 6 minutes, respectively. A run on the SIKEp434 parame-
ters, previously believed to meet NIST=E2=80=99s quantum sec= urity level 1, took about 62
minutes, again on a single core. We also ran the code on random instances of
SIKEp503 (level 2), SIKEp610 (level 3) and SIKEp751 (level 5), which took about
2h19m, 8h15m and 20h37m, respectively.


--
You received this message because you are subscribed to the Google Groups "pqc-forum" group.
<= blockquote type=3D"cite"> To unsubscribe from this group and stop receiving emails from it, send an email to pqc-forum+...@list.nist.gov.=

--
You received this message because you are subscribed to the Google Groups "= pqc-forum" group.
To unsubscribe from this group and stop receiving emails from it, send an e= mail to pqc-forum+un= subscribe@list.nist.gov.
To view this discussion on the web visit https://groups.= google.com/a/list.nist.gov/d/msgid/pqc-forum/668dbc04-b681-4ee2-b2e2-d5665d= f71ed4n%40list.nist.gov.

--
You received this message because you are subscribed to the Google Groups &= quot;pqc-forum" group.
To unsubscribe from this group and stop receiving emails from it, send an e= mail to pqc-forum+un= subscribe@list.nist.gov.
To view this discussion on the web visit https://groups.google.c= om/a/list.nist.gov/d/msgid/pqc-forum/ECB1F432-7917-400C-A926-9D85698AA94B%4= 0ll.mit.edu.
--Apple-Mail-457FE4A2-76C2-44EE-9997-1E58FC7B5340-- --Apple-Mail-722B1F51-5D8E-46F2-98FE-2E0202299E2A Content-Type: application/pkcs7-signature; name="smime.p7s" Content-Disposition: attachment; filename="smime.p7s" Content-Transfer-Encoding: base64 MIAGCSqGSIb3DQEHAqCAMIACAQExDzANBglghkgBZQMEAgEFADCABgkqhkiG9w0BBwEAAKCCE4Uw ggTAMIIDqKADAgECAgEGMA0GCSqGSIb3DQEBCwUAMFYxCzAJBgNVBAYTAlVTMR8wHQYDVQQKExZN SVQgTGluY29sbiBMYWJvcmF0b3J5MQwwCgYDVQQLEwNQS0kxGDAWBgNVBAMTD01JVExMIFJvb3Qg Q0EtMjAeFw0xNzAzMDIxMjAwMDBaFw0yNjAzMDIyMzU5NTlaMFExCzAJBgNVBAYTAlVTMR8wHQYD VQQKDBZNSVQgTGluY29sbiBMYWJvcmF0b3J5MQwwCgYDVQQLDANQS0kxEzARBgNVBAMMCk1JVExM IENBLTUwggEiMA0GCSqGSIb3DQEBAQUAA4IBDwAwggEKAoIBAQCnmoMOvTkfw7nq19mrWazGaa+Q 83Uv0+ATXT3q6kr+WExIMIZ87C74WCcRXpvO7uvx7HvMsYWAFHW93wQwhjytxHIOZgKNJ4VnGVDU l+KI7g0n9+Zjt3hB3HhHbcvbe9+Y4jz+XzCiLl2OaYvICKbxvbBSCLtPEeZQ6x6Tb6EK0ym0gvYe HO3kuuY+SJHJMltbrLnIVLxjZrNVS77zXKvu6Q3hSdkRIB7kJgEXfL+p/z/2p94bEEZ2TnQz0TkO jG+Jq7UlXlFRtvsYcDPEQD3UNkZsWcXgC1hXG8TGknUcAhlGxVhlKlFLmNd7342seGy2s9YxNDnS E+eXTtb0I5LLAgMBAAGjggGcMIIBmDASBgNVHRMBAf8ECDAGAQH/AgEAMB0GA1UdDgQWBBQv77vG DR276Wr+rGfzBzsIdvZLWTAfBgNVHSMEGDAWgBT/ycllTFOA8akMPCGugirH7vgy+zAOBgNVHQ8B Af8EBAMCAYYwZwYIKwYBBQUHAQEEWzBZMC4GCCsGAQUFBzAChiJodHRwOi8vY3JsLmxsLm1pdC5l ZHUvZ2V0dG8vTExSQ0EyMCcGCCsGAQUFBzABhhtodHRwOi8vb2NzcC5sbC5taXQuZWR1L29jc3Aw NAYDVR0fBC0wKzApoCegJYYjaHR0cDovL2NybC5sbC5taXQuZWR1L2dldGNybC9MTFJDQTIwgZIG A1UdIASBijCBhzANBgsqhkiG9xICAQMBBjANBgsqhkiG9xICAQMBCDANBgsqhkiG9xICAQMBBzAN BgsqhkiG9xICAQMBCTANBgsqhkiG9xICAQMBCjANBgsqhkiG9xICAQMBCzANBgsqhkiG9xICAQMB DjANBgsqhkiG9xICAQMBDzANBgsqhkiG9xICAQMBEDANBgkqhkiG9w0BAQsFAAOCAQEAMJYRwLPJ 91K7e2mA2Nj10W0o5JMHYkaa+ctL8/xY8QzIHFI5Ij+iydpPN9KCYn/4Sy80T3aNoYkFlS0GRQXh f0nsiY7TWJwAKw4AiO/yJ37/oRKRgtyRicvaJ6RjlHCXBOalFLw9UtpodP4/idC51lxzsolaQZra BjVe7PL95PhS7D+22NffInzLdIb1DBf54NwOVfPIgABtxH1fhZrja7EhR9RoUw5E1O6iWaAuP/xW hSTQFWlhyA0/kkIi9/HXaY0hYnhcjcbPPqjpyfIhSFjjXhjqK7t2wPrSrBFLFUbnLiNlgQHrvNYF 5IqgIfnSBWIrm3rfLhpZZJ/xJ7Yf6DCCBMAwggOooAMCAQICARMwDQYJKoZIhvcNAQELBQAwVjEL MAkGA1UEBhMCVVMxHzAdBgNVBAoTFk1JVCBMaW5jb2xuIExhYm9yYXRvcnkxDDAKBgNVBAsTA1BL STEYMBYGA1UEAxMPTUlUTEwgUm9vdCBDQS0yMB4XDTE5MDcwODExMTAwMFoXDTI5MDcwODExMTAw MFowUTELMAkGA1UEBhMCVVMxHzAdBgNVBAoMFk1JVCBMaW5jb2xuIExhYm9yYXRvcnkxDDAKBgNV BAsMA1BLSTETMBEGA1UEAwwKTUlUTEwgQ0EtNjCCASIwDQYJKoZIhvcNAQEBBQADggEPADCCAQoC ggEBAI9k9IaGVzgPlD6/Eg/0XoChgxw38/vItW5vnBlfVdmcbNV8WKwgW50we/QLbmEdvRyH+h37 FK7KiR+oELabRbbsfEK1qsduYjhOLYNsnklZq3P2QeH0X7nyotInatiANd5CYGEPMQi6SIgRJvG3 uy85c/Zhk9FFYEXtyOSZLvd+Wu6Tgdqhxx+jhlkrPQDj4iXaOKEllGy+R9x+TJmQiPE90Y+3aG5q 0WDrFAAyOZJKrzn+6NY9PV+19quEPns+CR4Bky08Y76Me0BA2IJWTDIfagdkhqb4QpCqGd/9OW09 aArdj2+IkezJREza8ov5s2bjo39oGmKblsHmFYdjct8CAwEAAaOCAZwwggGYMBIGA1UdEwEB/wQI MAYBAf8CAQAwHQYDVR0OBBYEFJOQRwNCwU20Mx7UQpefoeArcL+IMB8GA1UdIwQYMBaAFP/JyWVM U4DxqQw8Ia6CKsfu+DL7MA4GA1UdDwEB/wQEAwIBhjBnBggrBgEFBQcBAQRbMFkwLgYIKwYBBQUH MAKGImh0dHA6Ly9jcmwubGwubWl0LmVkdS9nZXR0by9MTFJDQTIwJwYIKwYBBQUHMAGGG2h0dHA6 Ly9vY3NwLmxsLm1pdC5lZHUvb2NzcDA0BgNVHR8ELTArMCmgJ6AlhiNodHRwOi8vY3JsLmxsLm1p dC5lZHUvZ2V0Y3JsL0xMUkNBMjCBkgYDVR0gBIGKMIGHMA0GCyqGSIb3EgIBAwEGMA0GCyqGSIb3 EgIBAwEIMA0GCyqGSIb3EgIBAwEHMA0GCyqGSIb3EgIBAwEJMA0GCyqGSIb3EgIBAwEKMA0GCyqG SIb3EgIBAwELMA0GCyqGSIb3EgIBAwEOMA0GCyqGSIb3EgIBAwEPMA0GCyqGSIb3EgIBAwEQMA0G CSqGSIb3DQEBCwUAA4IBAQC58Mvss4f9kr6cAvKvBCnQ0FvC8VpwzOeg3B5uc4H4tFnxLEIvMMXF dlW9ngjbOo9DaH3YLEj+5PQyei5g7PnX2RJg9t/q/c5TISOkEHMJb6vnIE6ziKFHGXfN6Mkx69Io OSBcta/RaZxtNPz+TFfs8Zk20w1yYwvFYMalpdiIZz5PM69BXCStAaGB7b+zR3guFmzR0GQkH/VD EgwC3FUdt2GXplos5hCtjHJYY79BPrO5i2Z9ACtN8wkEr8EK47ftmM0uyfDMVpUQOXDY9WzW507S LhFD6S0mILDfEPirPX35PQ+8lLfDaP57bn+kd/Lf993NC0wkifQCII8+4VBzMIIE9jCCA96gAwIB AgITWQAFFtcQy9Z9yJBQRwAAAAUW1zANBgkqhkiG9w0BAQsFADBRMQswCQYDVQQGEwJVUzEfMB0G A1UECgwWTUlUIExpbmNvbG4gTGFib3JhdG9yeTEMMAoGA1UECwwDUEtJMRMwEQYDVQQDDApNSVRM TCBDQS01MB4XDTIxMDcwNjIzNDgyNVoXDTI2MDMwMjIzNTk1OVowYTELMAkGA1UEBhMCVVMxHzAd BgNVBAoTFk1JVCBMaW5jb2xuIExhYm9yYXRvcnkxDzANBgNVBAsTBlBlb3BsZTEgMB4GA1UEAxMX Qmx1bWVudGhhbC5VcmkuNTAwMTA1ODQwggEiMA0GCSqGSIb3DQEBAQUAA4IBDwAwggEKAoIBAQCz EV1DzeRc9vI2/RjnGtv+hw6uRBOB7k9XpwdE4jBJzk4qVvPKYD5kmfwABciRewFl+z2D8PeBHfwW 7O8ggmulmUu3EM3RzlqacfYEWQMZEfPk4KLMT3B6AjF5iP4V7VXWe5sGZaQRib8gXumEZsTli5d1 ogkYv4AU4cBFrIkGTn4RDe4QthoYAinraTZU0T8bJS5pErTZZ4zQMYXrfFZvykmCRVTzsd6srXS8 JzurM+AHyCSUJBV9uuqD9Bf+G40RpSGa2aXVDxosnaSZda+UkXGLNWROyRxK1C1ksogCMwQx1Ak3 DdhpxaEfvX8/dqtlSB7zR8e21dYXdBNM5QvVAgMBAAGjggG1MIIBsTAdBgNVHQ4EFgQUkOSIsVPs KPblGDVAeBv3mu77lhIwDgYDVR0PAQH/BAQDAgUgMB8GA1UdIwQYMBaAFC/vu8YNHbvpav6sZ/MH Owh29ktZMDMGA1UdHwQsMCowKKAmoCSGImh0dHA6Ly9jcmwubGwubWl0LmVkdS9nZXRjcmwvbGxj YTUwZgYIKwYBBQUHAQEEWjBYMC0GCCsGAQUFBzAChiFodHRwOi8vY3JsLmxsLm1pdC5lZHUvZ2V0 dG8vbGxjYTUwJwYIKwYBBQUHMAGGG2h0dHA6Ly9vY3NwLmxsLm1pdC5lZHUvb2NzcDA9BgkrBgEE AYI3FQcEMDAuBiYrBgEEAYI3FQiDg+Udh+ynZoathxWD6vBFhbahHx2F69Bwg+vtIAIBZAIBCzAl BgNVHSUEHjAcBgRVHSUABggrBgEFBQcDBAYKKwYBBAGCNwoDBDAZBgNVHREEEjAQgQ51cmlAbGwu bWl0LmVkdTAYBgNVHSAEETAPMA0GCyqGSIb3EgIBAwEIMCcGCSsGAQQBgjcUAgQaHhgATABMAFUA cwBlAHIARQBuAGMALQBTAFcwDQYJKoZIhvcNAQELBQADggEBACAmTmu6kEDAxmc0VGl/jJv95nla NJ0xHTW8te/DBqurmBlEuJHiJJYxKCPiohDG0/K7QjgWcKJpzh3SZi7kVBIK1QKLNu1eMo76InPE CrM/qhIcbJRYP9hGDAG07Mi6oN+EfsBuaOiveaIVK4C7nXz8QJnCzhQbSGQa/9w1CJc8OMRyol9q 7nse2Dq0HHIF29qhrTQe7RuowGl6hW/jWUyYY/t6XTomYmWp86WbzyyB+l3uGsKg66JO6vSJsMEk kKKzaycSirQN7y1Ftwxr6Jt1w4jow6qc4Zqlwruln+yX60iUWrnVNlsr2Hz5OzUJZC0f9Rul8/sy qjv3AbdmjQEwggT/MIID56ADAgECAhMwAASLnWS4xJVkjh+3AAAABIudMA0GCSqGSIb3DQEBCwUA MFExCzAJBgNVBAYTAlVTMR8wHQYDVQQKDBZNSVQgTGluY29sbiBMYWJvcmF0b3J5MQwwCgYDVQQL DANQS0kxEzARBgNVBAMMCk1JVExMIENBLTYwHhcNMjIwMjE0MTkyMjQ2WhcNMjcwMjEzMTkyMjQ2 WjBXMQswCQYDVQQGEwJVUzEfMB0GA1UEChMWTUlUIExpbmNvbG4gTGFib3JhdG9yeTEOMAwGA1UE CxMFT3RoZXIxFzAVBgNVBAMMDnVyaUBsbC5taXQuZWR1MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8A MIIBCgKCAQEAmFlhRJzv33H3J9r54+/Bm6pG4Mii0P3db46iE7om4kunU9sAQdCt5Hb8S4Ja+2t6 MxxffZyReAv2Pscr2k+QNedkg1xL3vqh59sHGrZ8xqzhViMNb66DSb2j00rh91+5UaTO2HZMuvCA irl3jmlP4o4JKtpQkuXXjro0A8DN49kePRTy1T2eav4jcmOcJmdfPX9QKLVI5WSBcFhuiDtGgN6u G8zEL6R/2BF8TxHjJMc9LYgN7JGzde+9/v79A5USD9cKi0fjqRv4qP92TB3p+etRMYQXonu7RrH5 aRgqtWBd24SXUbkh6AwMJGbXU11L66WjJx7xha/rr5QHaALM+wIDAQABo4IByDCCAcQwDgYDVR0P AQH/BAQDAgbAMCwGA1UdJQEB/wQiMCAGCCsGAQUFBwMCBgorBgEEAYI3CgMMBggrBgEFBQcDBDAd BgNVHQ4EFgQUXW6ycKwOHePQ4QI3g+X2+9T24TwwGQYDVR0RBBIwEIEOdXJpQGxsLm1pdC5lZHUw HwYDVR0jBBgwFoAUk5BHA0LBTbQzHtRCl5+h4Ctwv4gwMwYDVR0fBCwwKjAooCagJIYiaHR0cDov L2NybC5sbC5taXQuZWR1L2dldGNybC9sbGNhNjBmBggrBgEFBQcBAQRaMFgwLQYIKwYBBQUHMAKG IWh0dHA6Ly9jcmwubGwubWl0LmVkdS9nZXR0by9sbGNhNjAnBggrBgEFBQcwAYYbaHR0cDovL29j c3AubGwubWl0LmVkdS9vY3NwMD0GCSsGAQQBgjcVBwQwMC4GJisGAQQBgjcVCIOD5R2H7Kdmhq2H FYPq8EWFtqEfHYTm7WmD5K1oAgFkAgEPMBgGA1UdIAQRMA8wDQYLKoZIhvcSAgEDAQgwMwYJKwYB BAGCNxQCBCYeJABMAEwATQBvAGIAaQBsAGUAQQBXAFMAQQB1AHQAaAAtAFMAVzANBgkqhkiG9w0B AQsFAAOCAQEAcf5TVFSnQVUhn7UrXYI/i77rPA/B6oMfDZEXJv06t+14rLfeIJi8S8cvZAnrf9Zl Lpsc7ECW1E3DfvUG+jKl76d84vN+VM3fOXl23C3kYtIlKM64H4cQMjYCtSvsx7qW9k4JUpufZ8gS NgxO2DPDLiMWllzEnDKO1vAqkpWmKUBwxCFx9RWA4EXmT3AZROeVonL8ZeXg2KEYEpIl/v8MXWC2 VmMDj15iRjeoLl6njuOOPNIlB24cHUNPmtb+H9SxRJyndBHb48d4nym2B5o/X2K1zg/Uf9zUdQmi CDno/Oamyddq/eey71BvS3q/dmk8Eh3gpEaA9GG2uMF0eIzGSDGCAvQwggLwAgEBMGgwUTELMAkG A1UEBhMCVVMxHzAdBgNVBAoMFk1JVCBMaW5jb2xuIExhYm9yYXRvcnkxDDAKBgNVBAsMA1BLSTET MBEGA1UEAwwKTUlUTEwgQ0EtNgITMAAEi51kuMSVZI4ftwAAAASLnTANBglghkgBZQMEAgEFAKCC AV0wGAYJKoZIhvcNAQkDMQsGCSqGSIb3DQEHATAcBgkqhkiG9w0BCQUxDxcNMjIwODExMjEzNTE1 WjAvBgkqhkiG9w0BCQQxIgQgZRxvLGr1PIf1w27t0veGcPdbhQEm7QScvVGX6BSjQtgwdwYJKwYB BAGCNxAEMWowaDBRMQswCQYDVQQGEwJVUzEfMB0GA1UECgwWTUlUIExpbmNvbG4gTGFib3JhdG9y eTEMMAoGA1UECwwDUEtJMRMwEQYDVQQDDApNSVRMTCBDQS01AhNZAAUW1xDL1n3IkFBHAAAABRbX MHkGCyqGSIb3DQEJEAILMWqgaDBRMQswCQYDVQQGEwJVUzEfMB0GA1UECgwWTUlUIExpbmNvbG4g TGFib3JhdG9yeTEMMAoGA1UECwwDUEtJMRMwEQYDVQQDDApNSVRMTCBDQS01AhNZAAUW1xDL1n3I kFBHAAAABRbXMA0GCSqGSIb3DQEBCwUABIIBACzQC3SIiJpii++bqB+z5qU2b/gvuCTzLPMaUG1I lRJ28s5JcRNE3pe5MW/8qDyxptDS4Gu48IbRx+KB0opsa/3b+ZeySbLB0mgQK9byyef4Jn/CMVSu Mm+sVDRpdf6hOkCVw0boUS5oFcuINjWlxpIspkpHIJFKbdeMpeK1rSvKDUwOfMe9DJ633TlYpGQa h+a/ZO8X0Swamw0szGLEtvHq4NpT4nIX1Hr9KdiDJo6zP8HgpTL83SBw2d3yYsQmKq5Rg0cv6145 XwgNc+TZWvQqrggzaNDwSRiuu4JOCUn+Raq1vsIp/5wo3Ybp4TpdmTKo9k8waAeNozsu9u/QYt8A AAAAAAA= --Apple-Mail-722B1F51-5D8E-46F2-98FE-2E0202299E2A--