Download Advances in Cryptology – EUROCRYPT 2014: 33rd Annual by Phong Q. Nguyen, Elisabeth Oswald PDF

By Phong Q. Nguyen, Elisabeth Oswald

This publication constitutes the complaints of the thirty third Annual foreign convention at the thought and purposes of Cryptographic ideas, EUROCRYPT 2014, held in Copenhagen, Denmark, in may perhaps 2014. The 38 complete papers incorporated during this quantity have been rigorously reviewed and chosen from 197 submissions. They take care of public key cryptanalysis, identity-based encryption, key derivation and quantum computing, secret-key research and implementations, obfuscation and multi linear maps, authenticated encryption, symmetric encryption, multi-party encryption, side-channel assaults, signatures and public-key encryption, practical encryption, foundations and multi-party computation.

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Extra resources for Advances in Cryptology – EUROCRYPT 2014: 33rd Annual International Conference on the Theory and Applications of Cryptographic Techniques, Copenhagen, Denmark, May 11-15, 2014. Proceedings

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6 10−21 Step 3. First, notice that the vectors x0 and x1 punctured at the first position def are both equal to the vector x01 = (x2 , . . , xn−1 ) ∈ Fn−2 q2 . From the previous step, one can obtain the two following sets of vectors: def L0 = xq+1 ∪ 01 def (1 − a)q+1 xq+1 (x01 − a)−(q+1) 01 a ∈ Fq2 \ Lx aq+1 (x01 − 1)q+1 (x01 − a)−(q+1) a ∈ Fq2 \ Lx . (15) They are computed by puncturing the first entry of each solution vector and taking the inverse for the star product. Note that the trivial solution 1 is always and (x1 − 1)q+1 among them.

The function field sieve in the medium prime case. In: Vaudenay, S. ) EUROCRYPT 2006. LNCS, vol. 4004, pp. 254–270. Springer, Heidelberg (2006) 18. : The number field sieve in the medium prime case. In: Dwork, C. ) CRYPTO 2006. LNCS, vol. 4117, pp. 326–344. Springer, Heidelberg (2006) 19. : An analytic approach to smooth polynomials over finite fields. P. ) ANTS 1998. LNCS, vol. 1423, pp. 226–236. Springer, Heidelberg (1998) 20. : An improved algorithm for computing logarithms over GF (p) and its cryptographic signifiance.

Dimension of (C I ) 2 when C is either the aforementioned wild Goppa code or a random code of the same length and dimension for various values of the size of I. We can notice that for all |I| ∈ {493, . . , 506} the dimension of the square of the random code and that of the square of the Goppa code differ. |I| 493 494 495 496 497 498 499 500 501 502 503 504 Goppa 300 297 294 291 288 285 282 279 276 273 270 267 random 301 300 299 298 297 296 295 294 293 292 291 290 |I| 505 506 507 508 509 510 511 512 513 514 Goppa 264 261 253 231 210 190 171 153 136 120 random 289 276 253 231 210 190 171 153 136 120 Table 2.

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