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Lattice Attack on the McEliece Public Key Cryptosystem

Name: Lattice Attack on the McEliece Public Key Cryptosystem
Brand: VDM Verlag Dr. Mueller E.K.
SKU: 06815004
Price: 24268 HUF
Availability: InStock
Author: Zaharina Velikova
ISBN: 9783639055474

Zaharina Velikova

Language

English

Book Paperback

Libristo code: 06815004

Publishers VDM Verlag Dr. Mueller E.K., August 2008

The McEliece cryptosystem was proposed by R.McEliecein 1978. In its original version it is based on... Full description

Libristo code: 06815004

161 b

24 268 Ft

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