Group of Unknown Order

Definition ∞ A Group of Unknown Order refers to a collection of cryptographic elements where the mathematical structure or size of the underlying group is not publicly known or easily computable. This property is utilized in certain advanced cryptographic schemes to achieve privacy and security. It presents computational challenges for adversaries attempting to break the system. This concept is relevant in zero-knowledge proofs and privacy-preserving protocols.
Context ∞ Research into cryptographic primitives based on groups of unknown order is an ongoing area of academic and practical development in blockchain security. News regarding new privacy solutions or scaling technologies might reference these underlying mathematical concepts. Understanding the implications of such cryptographic choices is important for evaluating the security claims of various protocols.