논문KCI 등재
The Gauss sums over Galois rings and its absolute values
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Let $\GR$ denote the Galois ring of characteristic $p^n$, where $p$ is a prime. In this paper, we investigate the elementary properties of Gauss sums over $\GR$ in accordance with conditions of characters of Galois rings, and we restate results for Gauss sums in [1, 2, 3, 7, 12, 13]. Also, we compute the modulus of the Gauss sums.
Abstract
Let $\GR$ denote the Galois ring of characteristic $p^n$, where $p$ is a prime. In this paper, we investigate the elementary properties of Gauss sums over $\GR$ in accordance with conditions of characters of Galois rings, and we restate results for Gauss sums in [1, 2, 3, 7, 12, 13]. Also, we compute the modulus of the Gauss sums.
참고문헌 (13)
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- R. Raghavendran, "Finite associative rings", Compositio Math., 21, pp.195~229 (1969)
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- Z. X. Wan, "Lectures on Finite Fields and Galois Rings" (2003)
- M. Yamada, "Distance-Regular Digraphs of Girth 4 Over an Extension Ring of <TEX>$\mathbb{Z}", 4\mathbb{Z}$<, Graphs and Combinatorics, pp.1990, 6[DOI]
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