Nonexistence results on generalized bent functions Zqm→Zq with odd m and q ≡ 2 (mod 4)
Let p be an odd prime, let a be a positive integer, let m be an odd positive integer, and suppose that a generalized bent function from Z2pam to Z2pa exists. We show that this implies m≠1, p≤22m+2m+1, and ordp(2)≤2m−1. We obtain further necessary conditions and prove that p=7 if m=3 and p∈{7,23,31,7...
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| 格式: | Article |
| 語言: | English |
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2020
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| 在線閱讀: | https://hdl.handle.net/10356/141391 |
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