Elements of prescribed order, prescribed traces and systems of rational functions over finite fields
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Publication:1766096
DOI10.1007/s10623-003-4193-0zbMath1061.11068OpenAlexW2118043188MaRDI QIDQ1766096
Publication date: 28 February 2005
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-003-4193-0
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Orthogonal arrays, Latin squares, Room squares (05B15) Curves over finite and local fields (11G20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Cyclic codes (94B15)
Related Items (2)
Improvements on generalized Hamming weights of some trace codes ⋮ Finite field elements with specified order and traces.
Cites Work
- Primitive elements and polynomials with arbitrary trace
- Polynomials and primitive roots in finite fields
- The Magma algebra system. I: The user language
- Hypercubic 4 and 5-designs from double-error-correcting BCH codes
- Elementary abelian \(p\)-extensions of algebraic function fields
- Generalized Hamming weights of trace codes
- On Zsigmondy primes
- Primitive elements with zero traces
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