Pair of primitive elements with prescribed traces over finite fields

DOI10.1080/00927872.2018.1503283zbMath1410.11133OpenAlexW2908890338MaRDI QIDQ5743071

Anju Gupta, Rajendra K. Sharma

Publication date: 8 May 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2018.1503283

zbMATH Keywords

characterfinite fieldsprimitive element

Mathematics Subject Classification ID

Exponential sums (11T23) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (3)

Primitive values of rational functions at primitive elements of a finite field ⋮ Existence of primitive normal pairs with one prescribed trace over finite fields ⋮ Existence of primitive pairs with prescribed traces over finite fields

Cites Work

• On the existence for some special primitive elements in finite fields
• Pairs of primitive elements in fields of even order
• On the existence of some specific elements in finite fields of characteristic 2
• Primitive elements and polynomials with arbitrary trace
• Primitive element pairs with one prescribed trace over a finite field
• An extension of the (strong) primitive normal basis theorem
• Primitive elements with prescribed trace
• Existence of some special primitive normal elements over finite fields
• A CLASS OF INCOMPLETE CHARACTER SUMS
• The strong primitive normal basis theorem
• THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER
• Kloosterman sums and primitive elements in Galois fields
• Consecutive Primitive Roots in a Finite Field
• Primitive elements with zero traces

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