| 摘要: |
| One-Way函数在计算复杂性和密码技术中均有重要的应用.将Grollmann和Selman的结果推广到相对化和非一致复杂类的情形,证明了复杂类UP/poly,UP,P/poly等之间的包含关系与强相对化one-way函数、弱相对化one-way函数存在问题的等价性. |
| 关键词: 计算复杂性 one-way函数 相对化 非一致复杂类 |
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| 基金项目:国家自然科学基金资助项目(69875007);江苏省自然科学基金资助项目(BK99119) |
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| The Existence of Relativization One-Way Functions |
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CAO Zi ning,Lu Yi zhong,SHI Chun yi
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| Abstract: |
| One Way functions play an important role in complexity theory of computation and public key cryptography. Inspired by the work of Grollmann and Selman, the work of Grollmann and Selman to the result of relativization and nonuniform complexity classes are generalized in this paper, the equivalence of the include relation of complexity class UP /poly, UP, P /poly and the existence of strongly relativization one way function, weakly relativization one way function are proved. |
| Key words: computational complexity one way function relativization nonuniform complexity class |
