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File: Problem Solving In Mathematics Pdf 178702 | 53500412
Solving Linear Equations Modulo Divisors: On Factoring Given Any Bits Mathias Herrmann, Alexander May Horst G¨ortz Institute for IT-Security Faculty of Mathematics Ruhr Universit¨at Bochum, Germany mathias.herrmann@rub ...

icon picture PDF Filetype PDF | Posted on 29 Jan 2023 | 2 years ago

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...Solving linear equations modulo divisors on factoring given any bits mathias herrmann alexander may horst g ortz institute for it security faculty of mathematics ruhr universit at bochum germany rub de alex abstract westudytheproblemofndingsolutionstolinearequations an unknown divisor p a known composite integer n im portant application this problem is factorization with well that polynomial time solvable if most half the are and lo cated in one consecutive block we introduce heuristic algorithm extends to arbitrary number blocks surprisingly able show ln su cient order nd s running however exponential parameter thus our only o loglogn keywords lattices small roots introduction finding solutions modular central mathematical lies heart almost cryptanalytic approach stance symmetric encryption functions can be interpreted as transformations from plaintexts ciphertexts corresponding poly nomial yields secret key amongall f x play special role since they often easier solve many problems al...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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Posted on: 29 Jan 2023 | 2 years ago
										
										
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