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中文摘要：
广义Bent函数具有良好的组合学和密码学性质,在通信、密码学等领域具有重要的应用价值.将Z2p上的广义Bent函数等价地转换为一种分裂型相对差集,通过集合分解,证明了这类相对差集的不存在性,从而用一种新方法证明了Z2p上不存在广义Bent函数.
英文摘要：
Generalized Bent functions had good combination and cryptography properties. Thus this kind of functions could be used in the field of communication, cryptography and other fields. The equivalent relationship between Bent functions on Z2p and a kind of splitting relative difference sets was established. The non-existence of this kind of relative difference sets by means of factoring the RDS was thus proven, which gave a different method of proving the non-existence of such Bent functions.
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