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- W3112889743 abstract "Abstract This paper presents an efficient algorithm for computing 11 th -power residue symbols in the cyclo-tomic field <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>ℚ</m:mi> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:msub> <m:mi>ζ</m:mi> <m:mrow> <m:mn>11</m:mn> </m:mrow> </m:msub> </m:mrow> <m:mo>)</m:mo> </m:mrow> <m:mo>,</m:mo> </m:mrow> </m:math> $ mathbb{Q}left( {{zeta }_{11}} right), $ where 11 is a primitive 11 th root of unity. It extends an earlier algorithm due to Caranay and Scheidler (Int. J. Number Theory, 2010) for the 7 th -power residue symbol. The new algorithm finds applications in the implementation of certain cryptographic schemes." @default.
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- W3112889743 date "2020-11-17" @default.
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- W3112889743 title "The Eleventh Power Residue Symbol" @default.
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- W3112889743 doi "https://doi.org/10.1515/jmc-2020-0077" @default.
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