In a manner relating to the breaking and analysis of secret codes.
From cryptanalytical + '-ly' adverbial suffix, creating a formal adverb for describing methods or approaches used in codebreaking.
When a mathematician describes an algorithm 'cryptanalytically sound,' they mean it's resistant to every known attack method—it's a reassuring term that actually means 'we haven't found how to break it yet, but someone probably will eventually.'
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