plot-openssl-speed

Bash script to plot openssl speed results.

Project maintained by KazKobara Hosted on GitHub Pages — Theme by mattgraham

pairing_bench.sh: How to show pairing-benchmarking results easily

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pairing_bench.sh measures the processing speed of bilinear maps, or pairings, supported in the following open-source repositories:

I chose them because they are active as of pairing_bench.sh v1.3 and have already supported or are expected to support more than 128-bit security.

Examples of measured results

In the legend on the top of the following figures, loop denotes the core looping process of the bilinear map, fexp denotes final exponentiation, and pairing denotes loop+fexp.

Comparison per repository

Relic 0.7.0 (preset/x64-pbc-*.sh in the Relic 0.7.0 repository)

relic0.7.0_time

Miracle v4.1:

miraclev4.1_time

MCL 3.04:

Cf. the figure of 128-bit security below.

Comparison per bit security

128-bit security:

pairing_128bs_time

For 128-bit security, the results in [eccbench21] are useful as well.

192-bit security:

pairing_192bs_time

Annex D.3.4 of [ISO/IEC 15946-5:2022] gives parameters corresponding to B24-P559, BLS24559, or BLS24_559.

256-bit security:

pairing_256bs_time

Annex D.3.5 of [ISO/IEC 15946-5:2022] gives parameters corresponding to B48-P581, BLS48581, or BLS48_581.

How to measure and depict them

  1. Install necessary commands:

    • On Debian/Ubuntu:

        sudo apt install gnuplot git make gcc python
      • make and gcc are to make binaries in each repository.
      • python is to configure test in Miracle.

  1. Download and enter this repository:

     git clone https://github.com/KazKobara/plot_openssl_speed.git
 cd plot_openssl_speed

  2. Help and usage:

     ./pairing_bench.sh -h

  3. Command

    The following example command saves measurement raw results, their tailored data, and their figures in the ./tmp/Pairing/ folder as *.log, *.dat, and *.png, respectively.

     ./pairing_bench.sh mcl:v3.04 relic:0.7.0 miracle:v4.1
    • The part before : in each argument is the alias of the repository supported in this script.
    • The part after : specifies either a branch name or a tag name for that repository.
    • For x86-based CPUs, -t tsc (Time Stamp Counter) option measures CPU cycles using RDTCS/RDTCSP instructions, instead of real time.
    • For non-x86-based CPUs, you may need to modify pairing_bensh.sh and other files according to the instructions in the repository:
      • For Relic 0.7.0, change x64-pbc-*.sh under tmp/Pairing/Relic/relic-0.7.0/preset and adjust pairing_bensh.sh for your CPU.

Computational Environment

I measured and depicted the above figures in the following environment:

WSL2 Ubuntu

$ awk '/^PRETTY/ {print substr($0,14,length($0)-14)}' /etc/os-release

Ubuntu 22.04.5 LTS

$ uname -srm

Linux 6.6.87.2-microsoft-standard-WSL2 x86_64

$ awk '{if($1$2 == "modelname"){$1="";$2="";$3=""; model=substr($0,4)}; if($1$2 == "cpuMHz") {max=$4/1000; printf "%s (%.2fGHz)\n",model,max; exit;}}' /proc/cpuinfo

Intel(R) Core(TM) i7-10810U CPU @ 1.10GHz (1.61GHz)