Figure 1.

Figure 2.

Figure 3.

Figure 4.
![Basic Key Exchange from PReFs [9]](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/6964d3bc7c29e05adc52d013/j_ias-2025-0009_fig_004.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKK42MRD3B%2F20260302%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260302T014756Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjELH%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaDGV1LWNlbnRyYWwtMSJIMEYCIQCxl3BdZDjlhMoJ4gWyRU5PlXnY18lW8HxZSJJy3RyP1QIhAJn0f%2FQS4svf0pTexdpKVfg55gz9j1ln2hJYDgYnQ5ZXKr0FCHoQAhoMOTYzMTM0Mjg5OTQwIgwmDUgZDX7bQfXmlOMqmgVFtCBJli0TD12YfVDXi6hw%2BYyrBuPk%2FrpCm76e%2FFJcEGUlJrHcy5O1ZBSdLdOtiHFzoX41vVa1AG97P804xE4Hi6kiqaWfcakjRc9T2Lsw38s4faIsb5Ik6GwaGIyqc%2Bejt8C2WvYmdezDWV5zwNnOMX2cMzxMuP1G0T7IghtUxt9RHZRM8l3577IeaoAfLsglPkXU2qTcUX13XEeJUkh2bs26ziRj6B2XAxDPJQ9D54sVJGNCSb38l4CtuUx4GxYg3lz%2BGhDuD1FjW2DTv5QjP1iOhcGBndiFRqlu5ve%2BmfKafQvhH%2BIaI2xr%2BV6gILIvyqKgeR4U%2FT8SMaJjfb%2B7hpp%2FBRafiaU7lCP8Qqn1BhJC5YYapkbqeJWL%2BWiD0DjVBy8C8zC77ICOuEhqF7FNiigwAR8RNLbUs4jIqhRUNLfEScL5TiwYI2SciAhKasDrTYN4hC6cFj%2B3lBbkwD02U8v4V5Vn3RWxH86fHlhiK2I1ZLPZpU0T6MidfIytuWIbeKotr%2F2McUH%2Bi7f3i1wv0BB2yZAO7f1dGNR7BJwzK1Mi%2BwhGkiWFRRNb93QXUsfnMMbHErg2neom5NlepFJ%2Bwdae5pYSNuVKA0NWYBstn7Guf6NZnGZRRwUZloe75JMkIznuOWQicb25%2B5XXri3Sx5w5Sn2iVwUnjY8T0HMaM5qPHGYe5bueFBQTa8j%2F1S1JV66PMHhoHgV6E3pV0DzerO7%2F8999hJ6rfPxh1XWdF4ShOT3ZFgWP7p0AuDLNdQjA4gz%2F25yt0O%2F2Txu4bRlVIJrdXXtXgrMOqwsmTKx%2BMRFxrSyne8pVwORYOw9C%2B3aOeAOx8m8wmZMvKuIksnWHA9EKOFUk4hVnlCyjZjxA8HDnmGoWKLhkfSgwpcCTzQY6sAEsE8WEZFyGNFHEP5VSdZXjSBRI90QuNcyXdY8aie9FQgYX5kvS%2FNjPj9N8aohq4O7wKMvL3XFbBwVEeoQ0QF03HaOZuCYPwvUlg0qihsgjwfbD5afdVC9dYcu4OyycLSodXt2msZLSx0NcZwTQJQvXaYlT2IzcvK90yqZ60wPG1lWTqk7vCo6nWSvZiP2ETuY3HOIM3atEnyWEqycHtX2pQSRYTULb17Gbm5a9Gfug5g%3D%3D&X-Amz-Signature=596c7b8eda210c372b36b9311576d961434f9d231764b20d2fb8e6b67305cd37&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 5.
![Upgraded AKE protocol using PReFs [9]](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/6964d3bc7c29e05adc52d013/j_ias-2025-0009_fig_005.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKK42MRD3B%2F20260302%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260302T014756Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjELH%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaDGV1LWNlbnRyYWwtMSJIMEYCIQCxl3BdZDjlhMoJ4gWyRU5PlXnY18lW8HxZSJJy3RyP1QIhAJn0f%2FQS4svf0pTexdpKVfg55gz9j1ln2hJYDgYnQ5ZXKr0FCHoQAhoMOTYzMTM0Mjg5OTQwIgwmDUgZDX7bQfXmlOMqmgVFtCBJli0TD12YfVDXi6hw%2BYyrBuPk%2FrpCm76e%2FFJcEGUlJrHcy5O1ZBSdLdOtiHFzoX41vVa1AG97P804xE4Hi6kiqaWfcakjRc9T2Lsw38s4faIsb5Ik6GwaGIyqc%2Bejt8C2WvYmdezDWV5zwNnOMX2cMzxMuP1G0T7IghtUxt9RHZRM8l3577IeaoAfLsglPkXU2qTcUX13XEeJUkh2bs26ziRj6B2XAxDPJQ9D54sVJGNCSb38l4CtuUx4GxYg3lz%2BGhDuD1FjW2DTv5QjP1iOhcGBndiFRqlu5ve%2BmfKafQvhH%2BIaI2xr%2BV6gILIvyqKgeR4U%2FT8SMaJjfb%2B7hpp%2FBRafiaU7lCP8Qqn1BhJC5YYapkbqeJWL%2BWiD0DjVBy8C8zC77ICOuEhqF7FNiigwAR8RNLbUs4jIqhRUNLfEScL5TiwYI2SciAhKasDrTYN4hC6cFj%2B3lBbkwD02U8v4V5Vn3RWxH86fHlhiK2I1ZLPZpU0T6MidfIytuWIbeKotr%2F2McUH%2Bi7f3i1wv0BB2yZAO7f1dGNR7BJwzK1Mi%2BwhGkiWFRRNb93QXUsfnMMbHErg2neom5NlepFJ%2Bwdae5pYSNuVKA0NWYBstn7Guf6NZnGZRRwUZloe75JMkIznuOWQicb25%2B5XXri3Sx5w5Sn2iVwUnjY8T0HMaM5qPHGYe5bueFBQTa8j%2F1S1JV66PMHhoHgV6E3pV0DzerO7%2F8999hJ6rfPxh1XWdF4ShOT3ZFgWP7p0AuDLNdQjA4gz%2F25yt0O%2F2Txu4bRlVIJrdXXtXgrMOqwsmTKx%2BMRFxrSyne8pVwORYOw9C%2B3aOeAOx8m8wmZMvKuIksnWHA9EKOFUk4hVnlCyjZjxA8HDnmGoWKLhkfSgwpcCTzQY6sAEsE8WEZFyGNFHEP5VSdZXjSBRI90QuNcyXdY8aie9FQgYX5kvS%2FNjPj9N8aohq4O7wKMvL3XFbBwVEeoQ0QF03HaOZuCYPwvUlg0qihsgjwfbD5afdVC9dYcu4OyycLSodXt2msZLSx0NcZwTQJQvXaYlT2IzcvK90yqZ60wPG1lWTqk7vCo6nWSvZiP2ETuY3HOIM3atEnyWEqycHtX2pQSRYTULb17Gbm5a9Gfug5g%3D%3D&X-Amz-Signature=dbcf7f22bec84b0e0536eb4940c35acfa9c11db8ffee060842b5c38a75c50dcc&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 6.
![Forward Secure AKE protocol using PReFs [9]](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/6964d3bc7c29e05adc52d013/j_ias-2025-0009_fig_006.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKK42MRD3B%2F20260302%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260302T014756Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjELH%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaDGV1LWNlbnRyYWwtMSJIMEYCIQCxl3BdZDjlhMoJ4gWyRU5PlXnY18lW8HxZSJJy3RyP1QIhAJn0f%2FQS4svf0pTexdpKVfg55gz9j1ln2hJYDgYnQ5ZXKr0FCHoQAhoMOTYzMTM0Mjg5OTQwIgwmDUgZDX7bQfXmlOMqmgVFtCBJli0TD12YfVDXi6hw%2BYyrBuPk%2FrpCm76e%2FFJcEGUlJrHcy5O1ZBSdLdOtiHFzoX41vVa1AG97P804xE4Hi6kiqaWfcakjRc9T2Lsw38s4faIsb5Ik6GwaGIyqc%2Bejt8C2WvYmdezDWV5zwNnOMX2cMzxMuP1G0T7IghtUxt9RHZRM8l3577IeaoAfLsglPkXU2qTcUX13XEeJUkh2bs26ziRj6B2XAxDPJQ9D54sVJGNCSb38l4CtuUx4GxYg3lz%2BGhDuD1FjW2DTv5QjP1iOhcGBndiFRqlu5ve%2BmfKafQvhH%2BIaI2xr%2BV6gILIvyqKgeR4U%2FT8SMaJjfb%2B7hpp%2FBRafiaU7lCP8Qqn1BhJC5YYapkbqeJWL%2BWiD0DjVBy8C8zC77ICOuEhqF7FNiigwAR8RNLbUs4jIqhRUNLfEScL5TiwYI2SciAhKasDrTYN4hC6cFj%2B3lBbkwD02U8v4V5Vn3RWxH86fHlhiK2I1ZLPZpU0T6MidfIytuWIbeKotr%2F2McUH%2Bi7f3i1wv0BB2yZAO7f1dGNR7BJwzK1Mi%2BwhGkiWFRRNb93QXUsfnMMbHErg2neom5NlepFJ%2Bwdae5pYSNuVKA0NWYBstn7Guf6NZnGZRRwUZloe75JMkIznuOWQicb25%2B5XXri3Sx5w5Sn2iVwUnjY8T0HMaM5qPHGYe5bueFBQTa8j%2F1S1JV66PMHhoHgV6E3pV0DzerO7%2F8999hJ6rfPxh1XWdF4ShOT3ZFgWP7p0AuDLNdQjA4gz%2F25yt0O%2F2Txu4bRlVIJrdXXtXgrMOqwsmTKx%2BMRFxrSyne8pVwORYOw9C%2B3aOeAOx8m8wmZMvKuIksnWHA9EKOFUk4hVnlCyjZjxA8HDnmGoWKLhkfSgwpcCTzQY6sAEsE8WEZFyGNFHEP5VSdZXjSBRI90QuNcyXdY8aie9FQgYX5kvS%2FNjPj9N8aohq4O7wKMvL3XFbBwVEeoQ0QF03HaOZuCYPwvUlg0qihsgjwfbD5afdVC9dYcu4OyycLSodXt2msZLSx0NcZwTQJQvXaYlT2IzcvK90yqZ60wPG1lWTqk7vCo6nWSvZiP2ETuY3HOIM3atEnyWEqycHtX2pQSRYTULb17Gbm5a9Gfug5g%3D%3D&X-Amz-Signature=e85ff57a45130797c8acb0eb6b19d87dd4222a6327cd7aa046507a2113d06944&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Comparison: SK, EPA, PR, EPM and MEx refer to symmetric key operations, elliptic curve point addition, pairing on elliptic curves, elliptic curve point multiplication and the number of exchanged messages respectively
| Scheme | Computation Time in μs | Forward secrecy | Communication overhead (in bits) | storage | ||
|---|---|---|---|---|---|---|
| Operations | Intel | ARM | ||||
| [24] | 4 hash & 12 MAC & 10ENC | ≈ 7.28 | ≈78.07 | yes | 7872 | yes |
| [25] | 8 Hash & 6 hash-to-point & 4 EPM | ≈ 304.34 | ≈ 3463.07 | yes | 9312 | yes |
| [26] | 14 Hash & 20 hash-to-point & 8 EPM & 16 EPA & 4 PR | ≈ 3527.5 | ≈ 39989.8 | yes | 9856 | yes |
| [27] | 6 Hash & 12 PRF & 3 GroupExp | ≈ 579.9 | ≈ 11715.6 | yes | 1952 | yes |
| [28] | 12 Hash & 14 EPM & 4 EPA | ≈ 1054.96 | ≈ 11968.2 | yes | 4160 | yes |
| [29] | 12 Hash & 4 Enc | ≈ 4. 12 | ≈ 57.44 | yes | 2880 | yes |
| [30] | 8 hash | ≈ 2.48 | ≈ 36.04 | yes | 1216 | yes |
| Ours | 4 hash | ≈ 1.24 | ≈ 18.02 | yes | 704 | no |