PPT-Merkle-Hellman Knapsack Cryptosystem

Merkle offered 100 award for breaking singly iterated knapsack Singlyiterated Merkle Hellman KC was broken by Adi Shamir in 1982   At the CRYPTO 83 conference Adleman used an Apple II computer to demonstrate Shamirs method . ethzch Victor Shoup IBM Zurich Research Laboratory Saumerstr 4 8803 Ruschlikon Switzerland shozurichibmcom May 1998 Abstract A new public key cryptosystem is proposed and analyzed The scheme is quite practical and is provably secure against adaptive eXternalDie-Hellman(XDH)Assumption.XDHstatesthattheDeci-sionalDie-Hellman(DDH)problemishardinG1,implyingthattheisomor-phism isone-way.2q-DecisionalDie-HellmanInversion(DBDHI)Assumption.DBDHIasserts By. Farnoosh Davoodi. 1. Agenda. Min Knapsack Problem. 2 approximation greedy algorithm. Proof . 3/2 approximation greedy algorithm. Proof. Another improved heuristic. Heuristics for the O-1 Min-Knapsack Problem. Sophia Yakoubov. Joint work with Leo . Reyzin. 1. Outline. Motivation: Distributed PKI. Background: Accumulators. Our Contributions: Asynchronous Accumulators. Definition: verification works even if the accumulator and witness are out of synch. and. Given positive integers v. i. and . w. i. for . i = 1, 2, ..., n.. and positive integers. K . and. W.. Does there exist a subset . S . of. {1, 2, ..., n}. such that:. A special case: S. UBSET. Definisi. Kriptografi. (. atau. . kriptologi. ; . dari. . bahasa. . Yunani. . κρυπτός . kryptós. , ". tersembunyi. , . rahasia. "; . dan. . γράφειν . graphein. , ". menulis. ", . & . ECC Diffie-Hellman. Presenter. : Le . Thanh. . Binh. Outline. What is . Elliptic Curve ?. Addition on an elliptic curve. Elliptic Curve Crypto (ECC). ECC Diffie–Hellman . Lets start with a puzzle…. 1. Dynamic Programming: . 0/1 Knapsack. Presentation for use with the textbook, . Algorithm Design and Applications. , by M. T. Goodrich and R. Tamassia, Wiley, 2015. Dynamic Programming. 2. The 0/1 Knapsack Problem. Debdeep Mukhopadhyay . Chester Rebeiro. . Dept. of Computer Science and Engineering. Indian Institute of Technology Kharagpur. INDIA. The Processor Overview. Register Bank: . regbank.v. (stores temporary data). Part 5. Summary created by. Kirk Scott. 1. This set of overheads corresponds to . the first . portion of section 12.3 in the book. The overheads for Chapter 12 roughly track the topics in the chapter. 6 of . Dasgupta. . et al.. October 20, 2015. 2. Outline. Intro. Counting combinations. 0-1 Knapsack (section 6.4). Longest common subsequence. Later. Bellman-Ford (single source shortest path). Floyd-. Ruud. . Pellikaan. and. Irene Márquez-Corbella. ICMETA 2016. Surakarta. , Indonesia. 6 . December. 2016. Content. 1. . Introduction on Coding, Crypto and Security. 2. . Public-key crypto systems. 3. . Mohammad . Mahmoody-Ghidary. Joint work with . Boaz Barak. Princeton. University. Spoiler:. Key Exchange, Random Oracle, The Result. Alice. Bob. key. key. Security: . For every eavesdropping . Eve . Case 04-10072 Doc 48 Filed 01/13/06 Entered 01/13/06 124412 Desc Main Document Page 2 of 12Case 04-10072 Doc 48 Filed 01/13/06 Entered 01/13/06 124412 Desc Main Document