# Explicit evaluations of some Weil sums

Acta Arithmetica (1998)

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

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topRobert 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

top- [1] L. Carlitz, Evaluation of some exponential sums over a finite field, Math. Nachr. 96 (1980), 319-339. Zbl0456.12011
- [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] R. S. Coulter and R. W. Matthews, Bent polynomials over finite fields, Bull. Austral. Math. Soc. 56 (1997), 429-437. Zbl0933.11057
- [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] 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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