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nobs/kem/mkem/README.md

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# mKEM for cSIDH/p512
Implementation of multi-KEM for SIKE and multi-PKE for cSIDH.
## Implementation
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).
## Running and benchmarking
To run all benchmarks use following command
```
make run
```
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.
### Results
Benchmarks has been run on i7-8665U (Whiskey Lake) @ 1.90GHz
* CPU cycle count
```
Test name: | Cycle count:
--------------------------|--------------
bench_SIKEp434_KEM | 1720710678
bench_SIKEp503_KEM | 2411750152
bench_SIKEp751_KEM | 7225841287
bench_SIKEp434_mKEM | 783353356
bench_SIKEp503_mKEM | 1100170053
bench_SIKEp751_mKEM | 3304027422
bench_CSIDH_PKE | 38200232832
bench_CSIDH_mPKE | 19203013803
```
* Time in ns
```
./mkem.test -test.run="notest" -test.bench=BenchmarkMultiEncaps -test.cpu=1
BenchmarkMultiEncaps_100keys/P-434 3 357838360 ns/op
BenchmarkMultiEncaps_100keys/P-503 2 503749852 ns/op
BenchmarkMultiEncaps_100keys/P-751 1 1514791804 ns/op
./mkem.test -test.run="notest" -test.bench=BenchmarkEncaps -test.cpu=1
BenchmarkEncaps/P-434 151 7888643 ns/op
BenchmarkEncaps/P-503 100 11150691 ns/op
BenchmarkEncaps/P-751 36 34494941 ns/op
./mkem.test -test.run="notest" -test.bench=BenchmarkEncrypt_CSIDH_p512 -test.cpu=1
BenchmarkEncrypt_CSIDH_p512 7 185828599 ns/op
./mkem.test -test.run="notest" -test.bench=BenchmarkMultiEncrypt_CSIDH_100keys -test.cpu=1
BenchmarkMultiEncrypt_CSIDH_100keys 1 1025902914 ns/op
```