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Papers

On r-th Root Extraction Algorithm in Fq for q=lrs+1(mod rs+1) with 0<l<r and Small s

  • Authorkyung-Ah Shim, Gook Hwa Cho, Soonhak Kwon
  • JournalIEEE Transactions on Computers 65(1). 322-325 (2016
  • Classification of papersSCI

Our algorithm precomputes a primitive rs-th root of unity   where s is the largest positive integer satisfying rsjq   1, and is applicable for the cases when s is small.
The proposed algorithm requires one exponentiation for the r-th root computation and is favorably compared to the existing algorithms..
Our algorithm precomputes a primitive rs-th root of unity   where s is the largest positive integer satisfying rsjq   1, and is applicable for the cases when s is small.
The proposed algorithm requires one exponentiation for the r-th root computation and is favorably compared to the existing algorithms.

Our algorithm precomputes a primitive rs-th root of unity   where s is the largest positive integer satisfying rsjq   1, and is applicable for the cases when s is small.
The proposed algorithm requires one exponentiation for the r-th root computation and is favorably compared to the existing algorithms..
Our algorithm precomputes a primitive rs-th root of unity   where s is the largest positive integer satisfying rsjq   1, and is applicable for the cases when s is small.
The proposed algorithm requires one exponentiation for the r-th root computation and is favorably compared to the existing algorithms.