Efficient lattice-based revocable attribute-based encryption against decryption key exposure for cloud file sharing

Huang, Boxue; Gao, Juntao; Li, Xuelian

doi:10.1186/s13677-023-00414-w

Journal of Cloud Computing

Advances, Systems and Applications

Table 2 Storage cost comparison

From: Efficient lattice-based revocable attribute-based encryption against decryption key exposure for cloud file sharing

Scheme	Public parameter size	Decryption key size	Ciphertext size
Scheme [17]	\((2\left\| l_{s} \right\| +2)mn\left\lceil \log q \right\rceil\)	\(2(\left\| l_{u} \right\| +\left\| l_{s} \right\| )mn\left\lceil \log q \right\rceil\)	\(\left( 2\left\| l_{a} \right\| +2\left\| l_{s} \right\| +1 \right) mn\left\lceil \log q \right\rceil\)
Scheme [13]	\(\left\| l_{s} \right\| (m+2)n \left\lceil \log q \right\rceil\)	\(\left\| l_{u} \right\| m\left\lceil \log q \right\rceil\)	\(\left( \left\| l_{a} \right\| +1 \right) m\left\lceil \log q \right\rceil\)
Scheme [12]	\(2\left\| l_{s} \right\| mn\left\lceil \log q \right\rceil\)	\(2\left\| l_{u} \right\| m\left\lceil \log q \right\rceil\)	\(\left( 2\left\| l_{a} \right\| +1 \right) m\left\lceil \log q \right\rceil\)
Scheme [9]	\(5\left\| l_{s} \right\| \left( m+1 \right) n\left\lceil \log q \right\rceil\)	\(4\left\| l_{s} \right\| m \left\lceil \log q \right\rceil\)	\(( 3\left\| l_{s} \right\| m +1 ) \left\lceil \log q \right\rceil\)
Scheme [25]	\(\left( \left\| l_{s} \right\| +3 \right) mn\left\lceil \log q \right\rceil\)	\(3mn\left\lceil \log q \right\rceil\)	\(\left( \left\| l_{s} \right\| +2 \right) m\left\lceil \log q \right\rceil\)
Scheme [18]	\((2\left\| l_{s} \right\| +1)mn\left\lceil \log q \right\rceil\)	\((\left\| l_{u} \right\| +\left\| l_{s} \right\| )mn\left\lceil \log q \right\rceil\)	\(\left( 2\left\| l_{a} \right\| +2\left\| l_{s} \right\| \right) mn\left\lceil \log q \right\rceil\)
Scheme [8]	\((4\left\| l_{s} \right\| +N+2)mn\left\lceil \log q \right\rceil\)	\(4(\left\| l_{u} \right\| +\left\| l_{s} \right\| )mn\left\lceil \log q \right\rceil\)	\(\left( 2\left\| l_{a} \right\| +2\left\| l_{s} \right\| +1 \right) mn\left\lceil \log q \right\rceil\)
Our Scheme	\(\left( \left\| l_{s} \right\| +3N+1 \right) mn\left\lceil \log q \right\rceil\)	\(\left( \left\| l_{s} \right\| +3N \right) mn\left\lceil \log q \right\rceil\)	\(\le \left( 2\left\| l_{s} \right\| +2N \right) mn\left\lceil \log q \right\rceil\)

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Scheme	Public parameter size	Decryption key size	Ciphertext size
Scheme [17]	\((2\left\| l_{s} \right\| +2)mn\left\lceil \log q \right\rceil\)	\(2(\left\| l_{u} \right\| +\left\| l_{s} \right\| )mn\left\lceil \log q \right\rceil\)	\(\left( 2\left\| l_{a} \right\| +2\left\| l_{s} \right\| +1 \right) mn\left\lceil \log q \right\rceil\)
Scheme [13]	\(\left\| l_{s} \right\| (m+2)n \left\lceil \log q \right\rceil\)	\(\left\| l_{u} \right\| m\left\lceil \log q \right\rceil\)	\(\left( \left\| l_{a} \right\| +1 \right) m\left\lceil \log q \right\rceil\)
Scheme [12]	\(2\left\| l_{s} \right\| mn\left\lceil \log q \right\rceil\)	\(2\left\| l_{u} \right\| m\left\lceil \log q \right\rceil\)	\(\left( 2\left\| l_{a} \right\| +1 \right) m\left\lceil \log q \right\rceil\)
Scheme [9]	\(5\left\| l_{s} \right\| \left( m+1 \right) n\left\lceil \log q \right\rceil\)	\(4\left\| l_{s} \right\| m \left\lceil \log q \right\rceil\)	\(( 3\left\| l_{s} \right\| m +1 ) \left\lceil \log q \right\rceil\)
Scheme [25]	\(\left( \left\| l_{s} \right\| +3 \right) mn\left\lceil \log q \right\rceil\)	\(3mn\left\lceil \log q \right\rceil\)	\(\left( \left\| l_{s} \right\| +2 \right) m\left\lceil \log q \right\rceil\)
Scheme [18]	\((2\left\| l_{s} \right\| +1)mn\left\lceil \log q \right\rceil\)	\((\left\| l_{u} \right\| +\left\| l_{s} \right\| )mn\left\lceil \log q \right\rceil\)	\(\left( 2\left\| l_{a} \right\| +2\left\| l_{s} \right\| \right) mn\left\lceil \log q \right\rceil\)
Scheme [8]	\((4\left\| l_{s} \right\| +N+2)mn\left\lceil \log q \right\rceil\)	\(4(\left\| l_{u} \right\| +\left\| l_{s} \right\| )mn\left\lceil \log q \right\rceil\)	\(\left( 2\left\| l_{a} \right\| +2\left\| l_{s} \right\| +1 \right) mn\left\lceil \log q \right\rceil\)
Our Scheme	\(\left( \left\| l_{s} \right\| +3N+1 \right) mn\left\lceil \log q \right\rceil\)	\(\left( \left\| l_{s} \right\| +3N \right) mn\left\lceil \log q \right\rceil\)	\(\le \left( 2\left\| l_{s} \right\| +2N \right) mn\left\lceil \log q \right\rceil\)