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The process of creating a new certificate with a new validity period, serial number, and public key while retaining all other Subscriber information in the original certificate.
CNSSI 4009-2015 from CNSSI 1300
To change the value of a cryptographic key that is being used in a cryptographic system application; this normally entails issuing a new certificate on the new public key. NIST SP 800-32 under Re-key (a certificate)
NIST SP 1800-16B under Re-key