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Square Root Computation over Even Extension Fields.
- Source :
-
IEEE Transactions on Computers . Nov2014, Vol. 63 Issue 11, p2829-2841. 13p. - Publication Year :
- 2014
-
Abstract
- This paper presents a comprehensive study of the computation of square roots over finite extension fields. We propose two novel algorithms for computing square roots over even field extensions of the form \BBF{q^2}, with q = p^n, p an odd prime and n \geq 1. Both algorithms have an associate computational cost roughly equivalent to one exponentiation in \BBF{q^2}. The first algorithm is devoted to the case when q \equiv 1\, mod\, 4, whereas the second one handles the case when q \equiv 3\, mod\,4. Numerical comparisons show that the two algorithms presented in this paper are competitive and in some cases more efficient than the square root methods previously known. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189340
- Volume :
- 63
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Computers
- Publication Type :
- Academic Journal
- Accession number :
- 98866449
- Full Text :
- https://doi.org/10.1109/TC.2013.145