A Lightweight Blockchain-based Public-Key Authenticated Encryption with Multi-Keyword Search for Cloud Computing

Table 1

Summary of notations.

Symbol	Description
	The cyclic group of prime order
	The generator of group
	Hash functions
	Participant’s public and private keys
	The keywords set
	The files set
	The number of values in the range
	The number of the hash functions
	Bloom filter
	L-dimensional vector
	The hash function family with key
	A set of file identifiers containing keyword
	Keyword ciphertext set
	Hash check list of ciphertext
	Search result set
	Vector inner product
	The euclidean norm of an -vector