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The Eleventh Power Residue Symbol.
- Source :
-
Journal of Mathematical Cryptology . 2021, Vol. 15 Issue 1, p111-122. 12p. - Publication Year :
- 2021
-
Abstract
- This paper presents an efficient algorithm for computing 11th-power residue symbols in the cyclo-tomic field ℚ (ζ 11 ) , $ \mathbb{Q}\left({{\zeta }_{11}} \right), $ where 11 is a primitive 11th root of unity. It extends an earlier algorithm due to Caranay and Scheidler (Int. J. Number Theory, 2010) for the 7th-power residue symbol. The new algorithm finds applications in the implementation of certain cryptographic schemes. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NUMBER theory
*ALGORITHMS
*SIGNS & symbols
*CYCLOTOMIC fields
Subjects
Details
- Language :
- English
- ISSN :
- 18622976
- Volume :
- 15
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Cryptology
- Publication Type :
- Academic Journal
- Accession number :
- 147152737
- Full Text :
- https://doi.org/10.1515/jmc-2020-0077