On the Jacobi sums over Galois rings

2020/01/13 by Dengming Xu, Xu, Dengming · 1 citation
Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Number Theory (math.NT) #cs.IT #math.IT #math.NT

paper · pdf · doi:10.48550/arxiv.2001.04028

The result in the paper are covered by anonther paper

arxiv created 2020/06/03 · arxiv updated 2020/06/04

Abstract

In this paper, we study the Jacobi sums over Galois rings of arbitrary characteristics and completely determine their absolute values, which extends the work in \citefeng1, where the Jacobi sums over Galois rings with characteristics a square of a prime number were discussed.

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• The Jacobi sums over Galois rings of arbitrary characters and their applications in constructing asymptotically optimal codebooks

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