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KEY INFORMATION MEMORANDUM
KEY INFORMATION MEMORANDUM

slides
slides

... Nor shall the LMS brag thou wandrest in pure maths’ shade, when international reviews state that the importance of computational mathematics grow’st. So long as men can breathe, or jobs on amazon EC2 run, So long lives this, and this gives life to thee. Steven Galbraith ...
DCLG (11) 75 Presentation, HM Treasury
DCLG (11) 75 Presentation, HM Treasury

... date and robust membership data are available. Calculations will have an effective date of 1 April 2015. • Methodology: Projected Unit Method (PUM). Standard actuarial methodology with one year control period. PUM measures the cost of accrual and avoids emphasis on any one category of membership. It ...
Teaching Cryptologic Mathematics
Teaching Cryptologic Mathematics

... standard computational complexity classes may be introduced. As a side excursion, it is possible to explain digital signatures based on RSA cipher. Digital signatures also allow the introduction of a specific kind of one-way function called hash. A hash function is a map h from a long input x to a m ...
Genigraphics Research Poster Template 44x44
Genigraphics Research Poster Template 44x44

... unknown flaws. In this research we analyze a paper by Lenstra et al. called "Ron was wrong, Whit is right" which identifies some of these potential flaws. Our project is to understand the mathematical theory behind two major algorithms: RSA and Diffie Hellman, with the probability of these flaws occ ...
CMSD Aspiring Principal Program
CMSD Aspiring Principal Program

... We are preparing leaders for anticipated principal openings in 2016 The summer intensive and residency year are pass/fail Participants must attend the entire 5 week summer program CMSD is developing an APP contract and MOU that will address specifics such as seniority and right to return should a pa ...
Foundations of Cryptography Lecture 2
Foundations of Cryptography Lecture 2

... • Show a one-way function f such that given y=f(x) each input bit of x can be guessed with probability at least 3/4 ...
pdf
pdf

... master secret key is d such that ed = 1 mod ϕ(N ). A user with identity ID is given secret key SKID = H(ID)d mod N (where H is modeled as a random oracle); this user can now sign messages with respect to his identity by using the Guillou-Quisquater (GQ) signature scheme (this was the scheme from Hom ...
Mathematics for IT
Mathematics for IT

... Introduction to Communications Lecture (11) ...
2002
2002

... of accuracy, and establish consistency of the scheme. (b) By inspection, determine the spatial and temporal order of accuracy of scheme I (you do not need to derive the modified equation). (c) Perform von Neumann stability analyses for schemes I and II, and derive the amplification factors. (d) Expe ...
Problem: Alice and Bob play the following number game. Alice
Problem: Alice and Bob play the following number game. Alice

... integers a1 , a2 , ..., an and asks Alice to tell him the value of x1 a1 + x2 a+, ... + xn an . Then Bob chooses another list of positive integers b1 , b2 , ..., bn and asks Alice for x1 b1 + x2 b2 +, ... + xn bn . Play continues until Bob is able to determine Alice’s numbers. How many rounds will B ...
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Commitment scheme

In cryptography, a commitment scheme allows one to commit to a chosen value (or chosen statement) while keeping it hidden to others, with the ability to reveal the committed value later. Commitment schemes are designed so that a party cannot change the value or statement after they have committed to it: that is, commitment schemes are binding. Commitment schemes have important applications in a number of cryptographic protocols including secure coin flipping, zero-knowledge proofs, and secure computation.A way to visualize a commitment scheme is to think of a sender as putting a message in a locked box, and giving the box to a receiver. The message in the box is hidden from the receiver, who cannot open the lock themselves. Since the receiver has the box, the message inside cannot be changed—merely revealed if the sender chooses to give them the key at some later time.Interactions in a commitment scheme take place in two phases: the commit phase during which a value is chosen and specified the reveal phase during which the value is revealed and checkedIn simple protocols, the commit phase consists of a single message from the sender to the receiver. This message is called the commitment. It is essential that the specific value chosen cannot be known by the receiver at that time (this is called the hiding property). A simple reveal phase would consist of a single message, the opening, from the sender to the receiver, followed by a check performed by the receiver. The value chosen during the commit phase must be the only one that the sender can compute and that validates during the reveal phase (this is called the binding property).The concept of commitment schemes was first formalized by Gilles Brassard, David Chaum, and Claude Crepeau in 1988, but the concept was used without being treated formally prior to that. The notion of commitments appeared earliest in works by Manuel Blum, Shimon Even, and Shamir et al. The terminology seems to have been originated by Blum, although commitment schemes can be interchangeably called bit commitment schemes—sometimes reserved for the special case where the committed value is a binary bit.
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