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检索条件"主题词=LLL Algorithm"
134 条 记 录,以下是21-30 订阅
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Attacking (EC)DSA scheme with ephemeral keys sharing specific bits
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THEORETICAL COMPUTER SCIENCE 2024年 1001卷
作者: Adamoudis, M. Draziotis, K. A. Poulakis, D. Aristotle Univ Thessaloniki Dept Math Thessaloniki 54124 Greece Aristotle Univ Thessaloniki Dept Informat Thessaloniki 54124 Greece
In this paper, we present a deterministic attack on (EC)DSA signature scheme, providing that several signatures are known such that the corresponding ephemeral keys share a certain amount of bits without knowing their... 详细信息
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Attacking (EC)DSA with partially known multiples of nonces
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INFORMATION AND COMPUTATION 2024年 第PartB期301卷
作者: Adamoudis, Marios Draziotis, Konstantinos A. Poulakis, Dimitrios Aristotle Univ Thessaloniki Dept Math Thessaloniki 54124 Greece Aristotle Univ Thessaloniki Dept Informat GR-54124 Thessaloniki Greece
In this paper, we introduce a series of attacks on DSA schemes that, under certain assumptions, can expose the secret key when one or more signed messages are accessible. By utilizing these signed messages, we constru... 详细信息
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New Results of Breaking the CLS Scheme from ACM-CCS 2014  24th
New Results of Breaking the CLS Scheme from ACM-CCS 2014
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24th International Conference on Information and Communications Security (ICICS)
作者: Gao, Jing Xu, Jun Wang, Tianyu Hu, Lei Chinese Acad Sci Inst Informat Engn State Key Lab Informat Secur Beijing 100093 Peoples R China Univ Chinese Acad Sci Sch Cyber Secur Beijing 100093 Peoples R China
At ACM-CCS 2014, Cheon, Lee and Seo introduced a particularly fast additively homomorphic encryption scheme (CLS scheme) based on a new number theoretic assumption, the co-Approximate Common Divisor (co-ACD) assumptio... 详细信息
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Precoder Design for Communication-Efficient Distributed MIMO Receivers With Controlled Peak-Average Power Ratio
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IEEE TRANSACTIONS ON COMMUNICATIONS 2021年 第7期69卷 4704-4716页
作者: Vaishampayan, Vinay A. CUNY Dept Engn & Environm Sci Coll Staten Isl New York NY 10314 USA
We consider the problem of communicating over a relay-assisted multiple-input multiple-output (MIMO) channel with additive noise, in which physically separated relays forward quantized information to a central decoder... 详细信息
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An exponential Diophantine equation related to the sum of powers of two consecutive terms of a Lucas sequence and x-coordinates of Pell equations
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PERIODICA MATHEMATICA HUNGARICA 2021年 第2期83卷 165-184页
作者: Erazo, Harold S. Gomez, Carlos A. Inst Nacl Matemat Pura & Aplicada Estr Dona Castorina 110 Rio De Janeiro Brazil Univ Valle Dept Matemat Calle 13 100-00 Cali Colombia
For the Fibonacci sequence the identity F-n(2) + F-n+1(2) = F2n+1 holds for all n >= 0. Let X := (X-l)(l >= 1) be the sequence of X-coordinates of the positive integer solutions (X, Y) of the Pell equation X-2 -... 详细信息
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A PARAMETRIC VERSION OF lll AND SOME CONSEQUENCES: PARAMETRIC SHORTEST AND CLOSEST VECTOR PROBLEMS
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SIAM JOURNAL ON DISCRETE MATHEMATICS 2020年 第4期34卷 2363-2387页
作者: Bogart, Tristram Goodrick, John Woods, Kevin Univ Los Andes Dept Matemat Bogota 11001000 Colombia
Given a parametric lattice with a basis given by polynomials in Z[t], we give an algorithm to construct an lll-reduced basis whose elements are eventually quasi-polynomial in t: that is, they are given by formulas tha... 详细信息
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TOTALLY POSITIVE ALGEBRAIC INTEGERS WITH SMALL TRACE
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MATHEMATICS OF COMPUTATION 2021年 第331期90卷 2317-2332页
作者: Wang, Cong Wu, Jie Wu, Qiang Southwest Univ China Dept Math 2 Tiansheng Rd Chongqing 400715 Peoples R China Univ Paris Est Creteil CNRS UMR 8050 Lab Anal & Math Appl 61 Ave Gen Gaulle F-94010 Creteil France
The "Schur-Siegel-Smyth trace problem" is a famous open problem that has existed for nearly 100 years. To study this problem with the known methods, we need to find all totally positive algebraic integers wi... 详细信息
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Product of repdigits with consecutive lengths in the Fibonacci sequence.
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BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 2021年 第2期27卷 1-9页
作者: Gomez, Jhonny C. Luca, Florian Univ Valle Dept Matemat Calle 13 100-00 Cali 25360 Colombia Univ Witwatersrand Sch Math Johannesburg South Africa King Abdulaziz Univ Res Grp Algebra Struct & Applicat Jeddah Saudi Arabia UNAM Ctr Ciencias Matemat Morelia Michoacan Mexico
From the well-known Fibonacci sequence, the number F-10=55=5 center dot 11 is an example not only as a repdigit (a number with only one distinct digit) but also as a product of two repdigits with consecutive lengths, ... 详细信息
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Successful cryptanalysis on RSA type modulus N=p2q
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e-Prime - Advances in Electrical Engineering, Electronics and Energy 2024年 8卷
作者: Nek Abd Rahman, Normahirah Pusat PERMATA@Pintar Negara Universiti Kebangsaan Malaysia Selangor UKM Bangi 43600 Malaysia
As internet technology advances and our interactions increasingly take place online, cryptography emerges as a valuable tool to address security concerns. Cryptography serves as a means to guarantee the protection of ... 详细信息
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Improving BDD Enumeration for LWE Problem Using GPU
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IEEE ACCESS 2020年 8卷 19737-19749页
作者: Esseissah, Mohamed S. Bhery, Ashraf Bahig, Hatem M. Ain Shams Univ Fac Sci Math Dept Comp Sci Div Cairo 11566 Egypt
In this paper, we present a GPU-based parallel algorithm for the Learning With Errors (LWE) problem using a lattice-based Bounded Distance Decoding (BDD) approach. To the best of our knowledge, this is the first GPU-b... 详细信息
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