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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: 61.52 EUR
Availability: InStock
Author: Zaharina Velikova
ISBN: 9783639055474

Zaharina Velikova

Jezik

Engleski

Knjiga Meki uvez

Libristo kod: 06815004

Nakladnici VDM Verlag Dr. Mueller E.K., kolovoz 2008

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

Libristo kod: 06815004

149 b

61.52 €

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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.