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 normwhich 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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Born in 1979 in Pleven (Bulgaria), she studied Mathematics withComputer Science" from 2001 to 2007 at TUD (Darmstadt Universityof Technology) and works since 2007 as a researcher for theFraunhofer Institute for Secure Information Technology (SIT) inDarmstadt. "

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**Book Description **Condition: New. Publisher/Verlag: VDM Verlag Dr. Müller | Lattice Basis Reduction Algorithms in Cryptography | 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. | Format: Paperback | Language/Sprache: english | 185 gr | 220x150x7 mm | 132 pp. Seller Inventory # K9783639055474

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**Book Description **VDM Verlag Dr. Mueller e.K., Germany, 2011. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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. Seller Inventory # AAV9783639055474

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**Book Description **VDM Verlag Aug 2008, 2008. Taschenbuch. Condition: Neu. Neuware - 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. 132 pp. Englisch. Seller Inventory # 9783639055474

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**Book Description **VDM Verlag Aug 2008, 2008. Taschenbuch. Condition: Neu. Neuware - 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. 132 pp. Englisch. Seller Inventory # 9783639055474

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**Book Description **VDM Verlag. Paperback. Condition: New. 132 pages. Dimensions: 8.7in. x 5.9in. x 0.3in.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 codewordcmGe, we reduce the problem of recovering the errorvector e to the shortest lattice vector problem. Using Conway and Sloanes 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 plog(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 normwhich 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9783639055474

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**Book Description **VDM Verlag, 2008. Paperback. Condition: New. Seller Inventory # DADAX3639055470