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61 lines
2.1 KiB
Markdown
61 lines
2.1 KiB
Markdown
# mKEM for cSIDH/p512
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Implementation of multi-KEM for SIKE and multi-PKE for cSIDH.
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## Implementation
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The implementation is done in Go. Compilation requires go 1.12 or newer to compile with ``GO111MODULE=on``. Implementation is based on cSIDH and SIDH from NOBS NOBS [library](github.com/henrydcase/nobs).
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## Running and benchmarking
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To run all benchmarks use following command
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```
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make run
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```
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It is possible to run only subset of benchmarks. The command ``make run-cycles`` will calculate CPU cycles for encryption/encapsulation to N users. The command ``make run-ns`` will produce results in nanoseconds.
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### Results
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Benchmarks has been run on i7-8665U (Whiskey Lake) @ 1.90GHz
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* CPU cycle count
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```
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Test name: | Cycle count:
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--------------------------|--------------
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bench_SIKEp434_KEM | 1720710678
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bench_SIKEp503_KEM | 2411750152
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bench_SIKEp751_KEM | 7225841287
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bench_SIKEp434_mKEM | 783353356
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bench_SIKEp503_mKEM | 1100170053
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bench_SIKEp751_mKEM | 3304027422
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bench_CSIDH_PKE | 38200232832
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bench_CSIDH_mPKE | 19203013803
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```
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* Time in ns
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```
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./mkem.test -test.run="notest" -test.bench=BenchmarkMultiEncaps -test.cpu=1
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BenchmarkMultiEncaps_100keys/P-434 3 357838360 ns/op
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BenchmarkMultiEncaps_100keys/P-503 2 503749852 ns/op
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BenchmarkMultiEncaps_100keys/P-751 1 1514791804 ns/op
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./mkem.test -test.run="notest" -test.bench=BenchmarkEncaps -test.cpu=1
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BenchmarkEncaps/P-434 151 7888643 ns/op
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BenchmarkEncaps/P-503 100 11150691 ns/op
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BenchmarkEncaps/P-751 36 34494941 ns/op
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./mkem.test -test.run="notest" -test.bench=BenchmarkEncrypt_CSIDH_p512 -test.cpu=1
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BenchmarkEncrypt_CSIDH_p512 7 185828599 ns/op
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./mkem.test -test.run="notest" -test.bench=BenchmarkMultiEncrypt_CSIDH_100keys -test.cpu=1
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BenchmarkMultiEncrypt_CSIDH_100keys 1 1025902914 ns/op
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```
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### Paper
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Details of this construction has been presented at [ASIACRYPT 2020](https://www.youtube.com/watch?v=0ijRmXt01Ww) and are described in the [ia.cr/2020/1107](ia.cr/2020/1107)
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