The Gauss sums over Galois rings and its absolute values

DOI10.11568/KJM.2018.26.3.519zbMath1440.11226OpenAlexW2894239633MaRDI QIDQ5204451

Youngho Jang, Sang Pyo Jun

Publication date: 4 December 2019

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/view/649/422

zbMATH Keywords

Galois ringGauss sums over Galois ringscharacters of Galois rings

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Quasi-Frobenius rings (16L60) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Other character sums and Gauss sums (11T24)

Related Items (3)

A new family of polyphase sequences with low correlation ⋮ Generalized Cohn functions on Galois rings ⋮ Unnamed Item

Cites Work

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• Character sums over Galois rings and primitive polynomials over finite fields.
• The Terwilliger algebras of certain association schemes over the Galois rings of characteristic 4
• Difference sets over Galois rings with odd extension degrees and characteristic an even power of 2
• Some constructions of systematic authentication codes using Galois rings
• The Gauss sums and Jacobi sums over Galois ring \(\mathrm{GR}(p^2,r)\)
• Distance-regular digraphs of girth 4 over an extension ring of Z/4Z
• Kerdock code in a cyclic form

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