{"knowledge_schema": {"broad_category": "Cryptography \u2192 Key Lengths \u2192 Quantum Resistance", "refinement": "This problem pertains to the security of symmetric key cryptography in the context of quantum computing capabilities.", "specific_scope": "The focus is on determining the minimum key length required for symmetric encryption to remain secure against attacks from a quantum computer.", "goal": "Identify the minimum key length that ensures security against an arbitrarily powerful quantum computer."}, "summary": "This problem involves understanding the relationship between symmetric key lengths and the potential threat posed by quantum computers. The task is to determine the minimum key length necessary to ensure that symmetric encryption remains secure against quantum attacks. Given the advancements in quantum computing, it is generally accepted that a symmetric key should be at least 256 bits long to provide adequate security against such threats."}