منابع مشابه
Minimum embedding of balanced P4-designs into 5-cycle systems
A 5-cycle system on v + w points embeds a balanced P4-design on v points if there is a subset of v points on which the 5-cycles induce the blocks of a balanced P4-design. The mininum possible such w is: v (mod 30) w v ≡ 4, 16 v−1 3 v ≡ 7, 10, 22, 25 v+5 3 v ≡ 1, 13, 28 v+11 3 v ≡ 19 (mod 30) v+17 3 We shall show this minimum value of w is attained. AMS classification: 05B05.
متن کاملEmbedding Pointed Curves in K3 Surfaces
Let D be a smooth projective curve of genus g over an algebraically closed field of characteristic zero. Let Mg denote the moduli stack of such curves. Let (S, h) be a polarized K3 surface of genus g, i.e., h is ample and primitive with h2 = 2g − 2. Let Fg denote the moduli stack of such surfaces. Now suppose D ⊂ S with [D] = h; let Pg denote the moduli space of such pairs (S,D), φg : Pg → Mg t...
متن کاملQuotient Curves of the Deligne-lusztig Curve of Suzuki Type
Inspired by a recent paper of Garcia, Stichtenoth and Xing [2000, Compositio Math. 120, 137–170], we investigate the quotient curves of the Deligne-Lusztig curve associated to the Suzuki group Sz(q).
متن کاملConstructing Elliptic Curves with Prescribed Embedding Degrees
Pairing-based cryptosystems depend on the existence of groups where the Decision Diffie-Hellman problem is easy to solve, but the Computational Diffie-Hellman problem is hard. Such is the case of elliptic curve groups whose embedding degree is large enough to maintain a good security level, but small enough for arithmetic operations to be feasible. However, the embedding degree for most ellipti...
متن کاملOn prime-order elliptic curves with embedding
We further analyze the solutions to the Diophantine equations from which prime-order elliptic curves of embedding degrees k = 3, 4 or 6 (MNT curves) may be obtained. We give an explicit algorithm to generate such curves. We derive a heuristic lower bound for the number E(z) of MNT curves with k = 6 and discriminant D ≤ z, and compare this lower bound with experimental data.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2015
ISSN: 1939-2346
DOI: 10.1216/jca-2015-7-2-149