Table 6 Computation and communication costs comparison.

From: An authorizable and preprocessable data transmission scheme based on elliptic curves

Scheme

Signcryption (ms)

Unsigncryption (ms)

Communication costs (Bytes)

S14

\(2T_e\approx 31.06\)

\(6T_e\approx 93.18\)

\(| msg|+4| Z_{q}^{*}|=1056\)

S11

\(2T_{eccm}+2T_e\approx 57.16\)

\(2T_b+T_e\approx 75.59\)

\(|msg|+2|\mathbb {G}_1|+|\mathbb {G}_T|=160\)?

S24

\(3T_{eccm}+2T_{ecca} \approx 43.19\)

\(5T_{eccm}+3T_{ecca}\approx 71.31\)

\(| msg|+| \mathbb {G} |+2|Z{_q^*}|=128\)

Ours

\(3T_{eccm}+T_{ecca}\approx 41.17\)

\(| Z{_q^*}|=32\)