By Tsuyoshi Takagi

This publication constitutes the refereed court cases of the seventh overseas Workshop on Post-Quantum Cryptography, PQCrypto 2016, held in Fukuoka, Japan, in February 2016.

The sixteen revised complete papers offered have been conscientiously reviewed and chosen from forty two submissions. The papers conceal all technical points of multivariate polynomial cryptography, code-based cryptography, lattice-based cryptography, quantum algorithms, post-quantum protocols, and implementations.

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On the inherent intractability of certain coding problems. IEEE Trans. Inform. Theor. 24(3), 384–386 (1978) 4. : Grover vs. McEliece. In: Sendrier, N. ) PQCrypto 2010. LNCS, vol. 6061, pp. 73–80. Springer, Heidelberg (2010) 5. : A simple unpredictable pseudo-random number generator. SIAM J. comput. 15(2), 364–383 (1986) 6. : How to generate cryptographically strong sequences of pseudorandom bits. SIAM J. Comput. 13(4), 850–864 (1984) 7. : Tight bounds on quantum searching. Fortsch. Phys. 46, 493 (1998) 8.

N ) ∈ Fnqm . We define the embedding ψα : Fnq → Fnqm (x1 , . . , xn ) → (α1 x1 , . . , αn xn ) (1) For every Fq -linear code C, we denote by C(C, α) the Fqm -linear code generated by the set ψα (C). Our distinguisher works as follow: (n−k)×n – it takes as input M ∈ F2 and s ∈ Fn−k . 2 RankSynd a PRNG Based on Rank Metric 25 – it chooses a vector α ∈ Fn2m at random until the coordinates of α are F2 linearly independent. – it gives to DR the input (ψα (M ), s). – it returns the same value as DR .

Xn ) → (α1 x1 , . . , αn xn ) (1) For every Fq -linear code C, we denote by C(C, α) the Fqm -linear code generated by the set ψα (C). Our distinguisher works as follow: (n−k)×n – it takes as input M ∈ F2 and s ∈ Fn−k . 2 RankSynd a PRNG Based on Rank Metric 25 – it chooses a vector α ∈ Fn2m at random until the coordinates of α are F2 linearly independent. – it gives to DR the input (ψα (M ), s). – it returns the same value as DR . If (M, s) is an output of the Fisher-Stern generator, then there exists an x such that s = M x T and wH (x ) = d.

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