There is no such thing as AES-1024 specified by NIST. AES is a NIST standard, it has three (and only three) variants: AES-128, AES-192, and AES-256. If you see something other than those three, it's almost certainly proprietary junk.<p>Note that AES is always used in a "mode of operation" to provide any sort of secure encryption. AE-secure modes are AES-SIV, AES-GCM-SIV, AES-OCB, and AES-GCM in decreasing order of safety/performance (possibly others, but those are the most well reviewed and most used). Those sometimes get noted with the key length, eg AES-256-GCM-SIV, sometimes not.