Óò×øöù Blockinøøòò È××ùùó¹êêòòóñ Èöñùøøøøóò× Ûûøø Èöö× Blockinööö
نویسندگان
چکیده
We show how to onstru t pseudo-random permutations that satisfy a ertain y le restri tion, for example that the permutation be y li ( onsisting of one y le ontaining all the elements) or an involution (a self-inverse permutation) with no xed points. The onstru tion an be based on any (unrestri ted) pseudo-random permutation. The resulting permutations are de ned su in tly and their evaluation at a given point is eÆ ient. Furthermore, they enjoy a fast forward property, i.e. it is possible to iterate them at a very small ost.
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Äääää Êê Blockinøøú Ðùù Ääòòùùùù Ëý×øøñ Óö Óò×øöù Blockinøøòò Ëóóøûöö Ëý×øøñ× Ûûøø Ýòòññ Ôøøøøððøý Aeóöööö Ññòó Òò Ìùó Ïøøòòò Öööùùøø Ë Blockinóóð Óó Áòòóöññøøóò Ë Blockin Blockin
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Ììì Áñôðð Blockin Blockinø Ð Blockinùðù× Óó Óò×øöù Blockinøøóò× Üøøòòòòò Èùöö Ìýô Ëý×øøñ× Ûûøø Ò Áòøøö×× Blockinøøóò Ìýô Òòòö Òò Ëùùøýôôòò Ððüüòòöö Ååõùùð ½ Áaeêáá Êó Blockinõùùò Blockinóùöø ß Èöóø Äóóóóóð È ½¼¼¸½½¿ Ää ×òòý ܸööò
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Aeùñö¹ìììóööøø Óò×øöù Blockinøøóò× Óó Ae Blockin Blockin Blockinòø È××ùùó¹êêòòóñ Ùò Blockinøøóò×
We des ribe eÆ ient onstru tions for various ryptographi primitives in private-key as well as publi -key ryptography. Our major results are two new onstru tions of pseudorandom fun tions. We prove the pseudo-randomness of one onstru tion under the assumption that fa toring (Blum integers) is hard while the other onstru tion is pseudo-random if the de isional version of the DiÆe-Hellman assumpti...
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