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Více informací o knize Lattice Attack on the McEliece Public Key Cryptosystem

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics

• Plný název: Lattice Attack on the McEliece Public Key Cryptosystem
• Autor: Zaharina Velikova
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 132
• EAN: 9783639055474
• ISBN: 3639055470
• ID: 06815004
• Nakladatelství: VDM Verlag Dr. Mueller E.K.
• Hmotnost: 186 g
• Rozměry: 229 × 152 × 7 mm
• Datum vydání: 04. August 2008

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