Index calculus algorithm (Discrete Logarithm Over Finite Fields, F q Logarithm Calculations)

From Algorithm Wiki
Revision as of 12:17, 15 February 2023 by Admin (talk | contribs) (Created page with "== Time Complexity == $O(e^{(\sqrt({2}) \sqrt(n*logn))})$ == Space Complexity == $O(n+r^{2})$? bits (See Dixon's algorithm for factoring integers; also works with an O(r)-by-O(r) sized matrix (to obtain discrete logs of primes in factor base)) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == RAM? == Year == 1922 == Reference == NA")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Time Complexity

$O(e^{(\sqrt({2}) \sqrt(n*logn))})$

Space Complexity

$O(n+r^{2})$? bits

(See Dixon's algorithm for factoring integers; also works with an O(r)-by-O(r) sized matrix (to obtain discrete logs of primes in factor base))

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

RAM?

Year

1922

Reference

NA