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Character sums over Galois rings and primitive polynomials over finite fields
- Source :
- Finite Fields and Their Applications. 10(1):36-52
- Publication Year :
- 2004
- Publisher :
- Elsevier BV, 2004.
-
Abstract
- Using the estimates of character sums over Galois rings and Cohen's sieve, we prove that there exists a primitive polynomial f(x)=x^n-a"1x^n^-^1+...+(-1)^na"n over F"q of degree n with the first three coefficients a"1,a"2,a"3 prescribed when n>=8.
- Subjects :
- Algebra and Number Theory
Degree (graph theory)
Character sums over Galois rings
Applied Mathematics
General Engineering
Galois group
Finite field
Theoretical Computer Science
Generic polynomial
Embedding problem
Combinatorics
Differential Galois theory
Primitive polynomial
Character (mathematics)
Engineering(all)
Mathematics
Subjects
Details
- ISSN :
- 10715797
- Volume :
- 10
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Finite Fields and Their Applications
- Accession number :
- edsair.doi.dedup.....e942137dffefc681250a34c18c256c08
- Full Text :
- https://doi.org/10.1016/s1071-5797(03)00041-8