Hi @Martijn de Jong ,
From my point of view. SPNEGO is most like a container level authentication method. Thus, we should check if Websphere supports it or not.
Then, I check documentation on IBM, and I found some info that may help and I quote:
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The Kerberos authentication protocol relies on symmetric authentication by using shared keys and secrets. At different stages during authentication, different topology members need to encrypt or decrypt tokens.
In general, Kerberos does not restrict the encryption algorithms that are used. Administrators must be aware of the encryption algorithms that different topology members use.
Microsoft Active Directory supports Rivest Cipher 4 (RC4), Advanced Encryption Standard 128-bit (AES-128), Advanced Encryption Standard 256-bit (AES-256), and Data Encryption Standard (DES) encryption. These encryption algorithms are augmented with cryptographic hash functions such as Security Hash Algorithm (SHA) and Message Digest Algorithm 5 (MDA5). For optimal security, it is best to avoid use of DES encryption, which is considered unsecure.
Microsoft Windows 2008 R2 and later, WebSphere® Application Server Version 8 and later, and IBM JRE 6 and later all support strong encryption algorithms. Starting in Windows 2008 R2, DES is no longer the default encryption algorithm; however, it is still available for deployments with older Windows servers and clients.
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Reference Link:
https://www.ibm.com/docs/en/elm/7.0.2?topic=information-configuring-encryption
Please note, this is just a hint, hope it would help you a bit.
Thanks.
Rock