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Efficient algorithms for computing the new Mersenne number transform

✍ Scribed by Hamood, Mounir T.; Boussakta, Said


Book ID
122144913
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
788 KB
Volume
25
Category
Article
ISSN
1051-2004

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We present two new algorithms for computing the Jacobi Symbol: the right-shift and left-shift k-ary algorithms. For inputs of at most n bits in length, both algorithms take O(n 2 / log n) time and O(n) space. This is asymptotically faster than the traditional algorithm, which is based in Euclid's al