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Remarks on Gauss sums over Galois rings
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The Galois ring is a finite extension of the ring of integers modulo a prime power. We consider characters on Galois rings. In analogy with finite fields, we investigate complete Gauss sums over Galois rings. In particular, we analyze [1, Proposition 3] and give some lemmas related to [1, Proposition 3].
Abstract
The Galois ring is a finite extension of the ring of integers modulo a prime power. We consider characters on Galois rings. In analogy with finite fields, we investigate complete Gauss sums over Galois rings. In particular, we analyze [1, Proposition 3] and give some lemmas related to [1, Proposition 3].
참고문헌 (3)
- P. Langevin, "Gauss sums over quasi-Frobenius rings", Finite Fields and Applications (Augsburg, 1999), 329~340 (2001)
- P. Langevin, "Gauss sums over quasi-Frobenius rings", Finite Fields and Applications (Augsburg, 1999), 329~340 (2001)
- B. R. McDonald, "Finite rings with identity" (1974), Marcel Dekker
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