منابع مشابه
Higher Rank Case of Dwork
Dedicated to the memory of Bernard Dwork 1. Introduction In this series of two papers, we prove the p-adic meromorphic continuation of the pure slope L-functions arising from the slope decomposition of an overconvergent F-crystal, as conjectured by Dwork 6]. More precisely, we prove a suitable extension of Dwork's conjecture in our more general setting of-modules, see section 2 for precise deen...
متن کاملAbuses of Ajtai-Dwork Cryptosystem
Ajtai and Dwork 2] have recently introduced a probabilistic public-key en-cryption scheme which is secure under the assumption that a certain computational problem on lattices is hard on the worst-case. Their encryption method may cause decrytion errors, though with small probability. Goldre-ich, Goldwasser, and Halevi 7] later modiied the encryption method of Ajtai and Dwork and made Ajtai-Dwo...
متن کاملCryptanalysis of the Ajtai - Dwork
Recently, Ajtai discovered a fascinating connection between the worst-case complexity and the average-case complexity of some well-known lattice problems. Later, Ajtai and Dwork proposed a cryptosystem inspired by Ajtai's work, provably secure if a particular lattice problem is diicult in the worst-case. We present a heuristic attack (to recover the private key) against this celebrated cryptosy...
متن کاملCryptanalysis of the Ajtai-Dwork Cryptosystem
Recently, Ajtai discovered a fascinating connection between the worst-case complexity and the average-case complexity of some wellknown lattice problems. Later, Ajtai and Dwork proposed a cryptosystem inspired by Ajtai’s work, provably secure if a particular lattice problem is difficult in the worst-case. We present a heuristic attack (to recover the private key) against this celebrated cryptos...
متن کاملBernard Dwork 1923--1998
Bernard Morris Dwork, “Bernie” to those who had the privilege of knowing him, died on May 9, 1998, just weeks short of his seventyfifth birthday. He is survived by his wife of fifty years, Shirley; his three children, Andrew, Deborah, and Cynthia; his four granddaughters; his brothers Julius and Leo; and his sister, Elaine Chanley. We mention family early in this article, both because it was su...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2014
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2013.10.001