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Intro

0:00

Roadmap

0:16

Fu et al.'s cube attacks on Trivium

0:23

Lessons & Thoughts

2:03

[DGP + 11] Dynamic Cube Attack on Full Grain-128 (Practical using FPGA Cluster) . Bias Phenomenon: Over 50 out of 51 cube summations are 0

2:43

[DS09] Cube Attack: Algebraic Basis

5:16

Cube Attack: General Procedure

6:01

Dynamic Cube Attack: Basic Thoughts

6:18

Dynamic Cube Attack: General Process

7:29

Qualified Cubes Supporting Proof 1 & 2

8:08

The Essence of Bias Phenomenon: Key Space Division

8:46

Our Proof 1 and 2

9:18

Ask for CP-based solver's help (Xiang et al AC16) We create a Mixed Integer Linear Progamming (MILP) model M to evaluate the feasibility of division trial

11:04

Division Property & Stream Cipher

11:49

Degree Evaluation & Flag Technique

12:22

Degree Evaluation with Flag Technique

12:57

Our Dynamic Cube Attack on Grain-128: w = 1

14:27

Our Dynamic Cube Attack on Grain-128: M(w)

15:01

Define a Weak-Key Class W with Division Property

17:34

Bias & Success Probability

18:23

Heuristic Construction of Minimal Split Set A

18:53

Our Dynamic Cube Attack on Grain-128: I's

19:29

Secure Bounds Against Bias Cube Tester

20:13

Secure Bounds for Grain-Like Ciphers Cipher Full

20:55

Determining Linear Coefficients

21:22
Links between Division Property and Other Cube Attack Variants
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2020Nov 5
Paper by Yonglin Hao, Lin Jiao, Chaoyun Li, Willi Meier, Yosuke Todo, Qingju Wang presented at FSE 2020 See https://iacr.org/cryptodb/data/paper..... The conference program is at https://fse.iacr.org/2020/program.php

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