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A Lattice Attack on the McEliece Public Key Cryptosystem


Marketed By :  VDM Verlag Dr. Müller   Sold By :  Kamal Books International  
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  • Product Description

The McEliece cryptosystem was proposed by R.McEliece in 1978. In its original version it is based on Goppa codes. Given a public key matrix G and a codeword c=mG+e, we reduce the problem of recovering the error vector e to the shortest lattice vector problem. Using Conway and Sloane''s "Construction A", we construct a basis of a lattice, in which the norm of the shortest vector w.r.t. lp norm is equal to the lp norm of the error vector e for p>log(t), where t is the weight of the error vector e. To find such shortest vector in our lattice we use the LLL and block basis reduction algorithms for the lp norm, which guarantee only an approximation of the length of the shortest lattice vector. Our tests show that this attack method provides no positive results for Goppa codes of length more than 127.

Product Specifications
SKU :COC93496
AuthorZaharina Velikova
Number of Pages132
Publishing Year2011-09-02T00:00:00.000
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandVDM Verlag Dr. Müller
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-14 00:00:00