CULT
发表于 2025-3-21 16:44:32
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Laconic
发表于 2025-3-21 22:01:59
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lipoatrophy
发表于 2025-3-22 03:35:41
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Climate
发表于 2025-3-22 07:13:40
Almost Prime Orders of CM Elliptic Curves Modulo ,cd. splits in ., where . is the size of the group of rational . points, and prove that it can be bigger than the common factor that comes from the torsion of the curve. Then, we prove that #{. ≤ ., . splits in . hence extending the results in . This is the best known result in the direction of t
助记
发表于 2025-3-22 10:59:54
Efficiently Computable Distortion Maps for Supersingular Curves that there exists a distortion map in a specific set of efficiently computable endomorphisms for every pair of nontrivial divisors . for two types of curves. In this paper, we prove that this result holds using a different method . for both curves with . > 5 and . > 19 respectively, where . is the
Mere仅仅
发表于 2025-3-22 16:34:13
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maladorit
发表于 2025-3-22 17:43:12
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小官
发表于 2025-3-23 00:21:17
Some Improvements to 4-Descent on an Elliptic Curvef 4-descent in the search for generators of large height on elliptic curves of rank at least 2, we explain how to cut down the number of class group and unit group calculations required, by using the group law on the 4-Selmer group.
Strength
发表于 2025-3-23 01:56:24
Predicting the Sieving Effort for the Number Field Sieveng test as input and simulates relations according to this test. After removing singletons, we decide how many relations we need for the factorization according to the simulation and this gives a good estimate for the real sieving. Experiments show that our estimate is within 2 % of the real data.
Hot-Flash
发表于 2025-3-23 07:03:59
Improved Stage 2 to P ± 1 Factoring Algorithmsn lengths around 2. and stage 2 limit around 10. while attempting to factor 230-digit numbers on modern PC’s. We describe arithmetic algorithms on reciprocal polynomials. We present adjustments for the P+1 algorithm. We list some new findings.