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On counting absolute trace of powers inGF(p m)

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Abstract

There are a few results of Welch (1967) and O. Moreno (1980) that count the number of solutions ofTr(y l)=0 inGF(2m), for certain values ofl. This paper counts the number of solutions ofTr(y l)=h inGF(p m), for further values ofl. Then O. Moreno's question is answered.

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References

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Wenbao, H. On counting absolute trace of powers inGF(p m). Acta Mathematica Sinica 4, 266–269 (1988). https://doi.org/10.1007/BF02560582

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  • DOI: https://doi.org/10.1007/BF02560582

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