An Algorithms for Finding the Cube Roots in Finite Fields

Faisal, F.; Rojali,; Mohamad, Mimi Mohaffyza

doi:10.1016/j.procs.2021.01.072

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2024

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Cited by 4 publications

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“…Recently, Faisal et al [14] examined the solubility of x 3 = a in general finite fields and gave some results on cube roots of cubic residue.…”

Section: Historical Backgroundmentioning

confidence: 99%

Heron’s cubic root iteration method with a new approach

Gadtia

Padhan

2021

Preprint

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Heron’s cubic root iteration formula conjectured by Wertheim is proved and extended for any odd order roots. Some possible proofs are suggested for the roots of even order. An alternative proof of Heron’s general cubic root iterative method is explained. Further, Lagrange’s interpolation formula for nth root of a number is studied and found that Al-Samawal’s and Lagrange’s method are equivalent. Again, counterexamples are discussed to justify the effectiveness of the present investigations.

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“…Recently, Faisal et al [14] examined the solubility of x 3 = a in general finite fields and gave some results on cube roots of cubic residue.…”

Section: Historical Backgroundmentioning

confidence: 99%