An upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is then used to construct new sequence families with low correlation properties and alphabet size a power of a prime.
General Kloosterman sums over the ring of Gaussian integers
โ Scribed by S. P. Varbanets
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 317 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0041-5995
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๐ SIMILAR VOLUMES
The main purpose of this paper is using the classical estimation of the Kloosterman sum and the analytic method to study the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums and give an interesting 2k-th mean value theorem.
Let O denote the ring of integers of a local field. In this note we prove an ร 4 ฯฑ approximation theorem for the Riesz type kernels โฅ over O. The proof , , n ns1 ลฝ . y1 requires a sharp estimate of the Dirichlet kernel D x on P \_ O, which may also n have independent interest. As a consequence we so