Carte Lattice Attack on the McEliece Public Key Cryptosystem Zaharina Velikova

Lattice Attack on the McEliece Public Key Cryptosystem

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Legare: Carte broșată
Disponibilitate: În depozitul extern
Expediem în 14-21 zile
328.85 lei
The McEliece cryptosystem was proposed by R.McEliecein 1978. In its original version it is based on...

Informații despre carte

Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2008
Pagini
132
EAN
9783639055474
ISBN
3639055470
Enbook ID
06815004
Greutate
186
Dimensiuni
152 x 229 x 7

Descriere completă

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.

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