A method for managing the installation of a software application on an electronic device (12A, 12B, 12C, 12D) comprising a memory (18A, 18B, 18C, 18D) in which a public application authentication key and a public certificate authentication key are stored, the software application being part of a software pack comprising: - the application comprising at least one executable, - a first authentication signature (FWSC) of the application, the first signature (FWSC) having been obtained by asymmetrical encoding using a first private encryption key, - a certificate comprising information, and - a second authentication signature of the certificate, the second signature being a set comprising second sub-signatures (CSC, CSCi) for authentication of the certificate, each second sub-signature (CSC, CSCi) being obtained by asymmetrical encoding each using a respective second private encryption key (SCK, SCKi), at least one of the second private encryption keys (SCK, SCKi) being separate from the first private encryption key, the method comprising testing the first authentication signature (FWSC) of the application authentication using the public application authentication key and: - installing the application when the first signature (FWSC) is considered authentic, or - when the first signature (FWSC) is not considered authentic, the method further comprises at least: - seeking the authenticity of the second authentication signature of the certificate using the public authentication key of the certificate, the certificate being authenticated if at least one of the second sub-signatures (CSC, CSCi) is considered authentic during implementation of the search step, - renewing the public application authentication key of the first electronic device when the second authentication signature of the certificate is considered authentic. - installing the application, when, using the new public application authentication key, the first authentication signature (FWSC) of the application authentication is considered authentic. - the application comprising at least one executable, - a first authentication signature (FWSC) of the application, the first signature (FWSC) having been obtained by asymmetrical encoding using a first private encryption key, - a certificate comprising information, and - a second authentication signature of the certificate, the second signature being a set comprising second sub-signatures (CSC, CSCi) for authentication of the certificate, each second sub-signature (CSC, CSCi) being obtained by asymmetrical encoding each using a respective second private encryption key (SCK, SCKi), at least one of the second private encryption keys (SCK, SCKi) being separate from the first private encryption key, - installing the application when the first signature (FWSC) is considered authentic, or - when the first signature (FWSC) is not considered authentic, the method further comprises at least: - seeking the authenticity of the second authentication signature of the certificate using the public authentication key of the certificate, the certificate being authenticated if at least one of the second sub-signatures (CSC, CSCi) is considered authentic during implementation of the search step, - renewing the public application authentication key of the first electronic device when the second authentication signature of the certificate is considered authentic. - installing the application, when, using the new public application authentication key, the first authentication signature (FWSC) of the application authentication is considered authentic. - seeking the authenticity of the second authentication signature of the certificate using the public authentication key of the certificate, the certificate being authenticated if at least one of the second sub-signatures (CSC, CSCi) is considered authentic during implementation of the search step, - renewing the public application authentication key of the first electronic device when the second authentication signature of the certificate is considered authentic. - installing the application, when, using the new public application authentication key, the first authentication signature (FWSC) of the application authentication is considered authentic.