qimen-pike

resources

spec

specification (version 1.0) specification_Chinese (version 1.0, actively polishing)

code

GitHub repository

papers

POKÉ: A Compact and Efficient PKE from Higher-Dimensional Isogenies.

A. Basso, L. Maino.

PIKE: Faster Isogeny-Based Public Key Encryption with Pairing-Assisted Decryption.

S. Cai, M. Chen, Y.-F. Lai, K. Lin.

performance

Benchmarks use SM3 as the XOF backend on an Intel(R) Core(TM) Ultra 9 275HX CPU. CPU-cycle values are in 10⁶ cycles and averaged over 300 runs.

Key and Ciphertext Sizes

Parameter set	Uncompressed			Compressed
Parameter set	pk	ct	sk	pk	ct	sk
NGCC-1	641 B	800 B	724 B	405 B	602 B	488 B
NGCC-2	961 B	1184 B	1103 B	595 B	882 B	737 B
NGCC-3	1921 B	2368 B	2220 B	1201 B	1746 B	1500 B

Reference Implementation

Parameter set	Uncompressed			Compressed
Parameter set	KeyGen	Encaps	Decaps	KeyGen	Encaps	Decaps
NGCC-1	94.15	34.73	61.43	159.61	61.27	98.02
NGCC-2	350.45	121.33	222.20	608.92	223.68	360.88
NGCC-3	3005.44	1029.46	1794.11	4606.19	1803.16	2845.02

Optimized Implementation

Parameter set	Uncompressed			Compressed
Parameter set	KeyGen	Encaps	Decaps	KeyGen	Encaps	Decaps
NGCC-1	76.16	26.94	47.93	129.31	48.00	77.45
NGCC-2	292.40	93.86	171.85	481.88	172.94	280.08
NGCC-3	2480.87	803.12	1405.36	3639.78	1421.09	2243.85

Throughput

Parameter set	Reference ops/s, uncompressed			Optimized ops/s, uncompressed
Parameter set	KeyGen	Encaps	Decaps	KeyGen	Encaps	Decaps
NGCC-1	30.4	84.7	47.5	34.9	104.2	54.7
NGCC-2	7.9	22.0	12.8	10.5	32.8	17.8
NGCC-3	0.9	2.62	1.48	1.08	3.78	2.15

cite

In order to cite QIMEN-PIKE, please use the following BibTeX entry:

@misc{qimen-pike,
    author       = {Yu, Yu
                    and Castryck, Wouter
                    and Chen, Mingjie
                    and Herl{\'e}dan Le Merdy, Arthur
                    and Hu, Zhi
                    and Huang, Zhuo
                    and Invernizzi, Riccardo
                    and Lai, Yi-Fu
                    and Lazzarini, Dania
                    and Lin, Kaizhan
                    and Liu, Xuzhe
                    and Maino, Luciano
                    and Reijnders, Krijn
                    and Vercauteren, Frederik
                    and Wen, Yunqi},
    title        = {{QIMEN-PIKE}},
    howpublished = {Specification, version 1.0},
    year         = {2026},
    url          = {https://qimen.io/pike}
}