Uq-sharp subsets of a finite field

Pinaki Das

doi:10.1007/978-3-540-24633-6_18

U_q-sharp subsets of a finite field

Pinaki Das

Division of Mathematics & Natural Sciences (Altoona)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Let f ∈ F_q[cursive Greek chi] where F_q is a finite field of characteristic p. Wan et al discovered a lower bound for the value set of f in terms of an invariant u_q(f) associated to the polynomial f. We define a notion of u_q-sharp subsets of F_q and discuss related problems. We show how the notion of u_q-sharp sets may be used to give yet another proof of the classical Cauchy-Davenport theorem.

Original language	English (US)
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Editors	Gary L. Mullen, Alain Poli, Henning Stichtenoth
Publisher	Springer Verlag
Pages	249-253
Number of pages	5
ISBN (Print)	9783540213246
DOIs	https://doi.org/10.1007/978-3-540-24633-6_18
State	Published - 2004

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2948
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-540-24633-6_18

Cite this

Das, P. (2004). U_q-sharp subsets of a finite field. In G. L. Mullen, A. Poli, & H. Stichtenoth (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 249-253). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2948). Springer Verlag. https://doi.org/10.1007/978-3-540-24633-6_18

Das, Pinaki. / U_q-sharp subsets of a finite field. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). editor / Gary L. Mullen ; Alain Poli ; Henning Stichtenoth. Springer Verlag, 2004. pp. 249-253 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Das, P 2004, U_q-sharp subsets of a finite field. in GL Mullen, A Poli & H Stichtenoth (eds), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2948, Springer Verlag, pp. 249-253. https://doi.org/10.1007/978-3-540-24633-6_18

U_q-sharp subsets of a finite field. / Das, Pinaki.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). ed. / Gary L. Mullen; Alain Poli; Henning Stichtenoth. Springer Verlag, 2004. p. 249-253 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2948).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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Das P. U_q-sharp subsets of a finite field. In Mullen GL, Poli A, Stichtenoth H, editors, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Verlag. 2004. p. 249-253. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-24633-6_18