Supersingular Abelian Varieties in Cryptology [chapter]

Karl Rubin, Alice Silverberg
<span title="">2002</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
For certain security applications, including identity based encryption and short signature schemes, it is useful to have abelian varieties with security parameters that are neither too small nor too large. Supersingular abelian varieties are natural candidates for these applications. This paper determines exactly which values can occur as the security parameters of supersingular abelian varieties (in terms of the dimension of the abelian variety and the size of the finite field), and gives
more &raquo; ... ructions of supersingular abelian varieties that are optimal for use in cryptography.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-45708-9_22">doi:10.1007/3-540-45708-9_22</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mohd5mf3rbaudd4v6ea267abie">fatcat:mohd5mf3rbaudd4v6ea267abie</a> </span>
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