Inverses of \(r\)-primitive \(k\)-normal elements over finite fields

DOI10.1007/s11139-023-00785-3arXiv2201.11334MaRDI QIDQ6122738

Avnish K. Sharma, Sharwan K. Tiwari, Mamta Rani, A. Panigrahi

Publication date: 1 March 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11334

zbMATH Keywords

finite fieldsadditive and multiplicative characters\(k\)-normal elements\(r\)-primitive elements

Mathematics Subject Classification ID

Exponential sums (11T23) Finite fields (field-theoretic aspects) (12E20)

Cites Work

• Optimal normal bases in \(GF(p^ n)\)
• A note on discrete logarithms in finite fields
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• Existence of primitive 2-normal elements in finite fields
• An extension of the (strong) primitive normal basis theorem
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• Variations of the primitive normal basis theorem
• Existence and properties of \(k\)-normal elements over finite fields
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• A CLASS OF INCOMPLETE CHARACTER SUMS
• How to Generate Cryptographically Strong Sequences of Pseudorandom Bits
• The strong primitive normal basis theorem
• New directions in cryptography
• THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER
• Primitive Normal Bases for Finite Fields
• FINITE FIELD EXTENSIONS WITH THE LINE OR TRANSLATE PROPERTY FOR -PRIMITIVE ELEMENTS
• Unnamed Item

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