Explicit evaluations of some Weil sums

Robert S. Coulter

Acta Arithmetica (1998)

  • Volume: 83, Issue: 3, page 241-251
  • ISSN: 0065-1036

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Robert S. Coulter. "Explicit evaluations of some Weil sums." Acta Arithmetica 83.3 (1998): 241-251. <http://eudml.org/doc/207121>.

@article{RobertS1998,
author = {Robert S. Coulter},
journal = {Acta Arithmetica},
keywords = {explicit evaluations; character sums; finite field; Weil sum; Carlitz's method},
language = {eng},
number = {3},
pages = {241-251},
title = {Explicit evaluations of some Weil sums},
url = {http://eudml.org/doc/207121},
volume = {83},
year = {1998},
}

TY - JOUR
AU - Robert S. Coulter
TI - Explicit evaluations of some Weil sums
JO - Acta Arithmetica
PY - 1998
VL - 83
IS - 3
SP - 241
EP - 251
LA - eng
KW - explicit evaluations; character sums; finite field; Weil sum; Carlitz's method
UR - http://eudml.org/doc/207121
ER -

References

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  1. [1] L. Carlitz, Evaluation of some exponential sums over a finite field, Math. Nachr. 96 (1980), 319-339. Zbl0456.12011
  2. [2] R. S. Coulter and R. W. Matthews, Planar functions and planes of Lenz-Barlotti class II, Des. Codes Cryptogr. 10 (1997), 167-184. Zbl0872.51007
  3. [3] R. S. Coulter and R. W. Matthews, Bent polynomials over finite fields, Bull. Austral. Math. Soc. 56 (1997), 429-437. Zbl0933.11057
  4. [4] P. Dembowski and T. G. Ostrom, Planes of order n with collineation groups of order n², Math. Z. 103 (1968), 239-258. Zbl0163.42402
  5. [5] R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia Math. Appl. 20, Addison-Wesley, Reading, 1983 (now distributed by Cambridge Univ. Press). Zbl0554.12010

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