Hyperelliptic Curves with Compact Parameters

Ezra Brown, Bruce T. Myers, Jerome A. Solinas
<span title="">2005</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/c45m6ttnaje4xbjsq7m2c6df2a" style="color: black;">Designs, Codes and Cryptography</a> </i> &nbsp;
We present a family of hyperelliptic curves whose Jacobians are suitable for cryptographic use, and whose parameters can be specified in a highly efficient way. This is done via complex multiplication and identity-based parameters. We also present some novel computational shortcuts for these families.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10623-004-1718-0">doi:10.1007/s10623-004-1718-0</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kvmx3ihpg5e5vbrlx4clt7bnki">fatcat:kvmx3ihpg5e5vbrlx4clt7bnki</a> </span>
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