Recursive Algorithms in Computing
Explore recursive algorithms in computing, including the definition, examples like factorial, exponentiation, GCD, and modular exponentiation. Dive into the concept of solving problems by breaking them into smaller instances, ensuring termination with known solutions.
1 views • 16 slides
Practical Statistically-Sound Proofs of Exponentiation in Any Group
The paper presents practical and statistically sound proofs of exponentiation in any group. It discusses the computation process, applications in verifiable delay functions and time-efficient arguments for NP, as well as interactive protocols and the overview of PoEs. The research contributes a stat
0 views • 18 slides
Public-Key Cryptography and Ancient Mathematical Techniques
Delve into the fascinating world of public-key cryptography, where the convergence of prime numbers and inverse functions plays a pivotal role in ensuring secure communication. From the history of math to contemporary applications, discover how encryption and decryption transform messages to keep th
2 views • 21 slides
Faster Implementation of Modular Exponentiation in JavaScript
Development of a cryptographic authentication toolkit for web application developers. Discusses modular exponentiation, digital signatures, elliptic curve cryptography, and the importance of DSA in providing secure authentication. Aims to offer both classical and elliptic curve cryptographic solutio
0 views • 22 slides
Decrease and Conquer Algorithms: A Guide to Understanding Various Techniques
Explore decrease and conquer algorithms such as binary search, exponentiation, multiplication strategies, search in binary search trees, median finding, and game theories like Nim. Learn about tackling challenges by decreasing parameters with illustrative examples and problem-solving approaches.
0 views • 11 slides
Certifying Giant Nonprimes in Computational Number Theory
This article discusses certifying giant nonprimes in computational number theory, covering topics such as giant prime numbers, Proth numbers, proofs of exponentiation, and PoEs for non-primality certificates. It presents a statistically sound certificate of non-primality for Proth numbers and outlin
0 views • 14 slides
Operators in Python
Python operators include familiar arithmetic operators like addition, subtraction, multiplication, and division as well as new operators like modulus, floor division, and exponentiation. Understanding the number of arguments, data types, semantics, and precedence of operators is crucial in programmi
0 views • 7 slides
Algorithm Efficiency
This content covers various aspects of algorithm efficiency, including different approaches to exponentiation, orders of growth, common growth scenarios, and the impact of algorithmic choices on performance. Learn about constant time algorithms, fast exponentiation methods, linked list operations, a
0 views • 30 slides
Logarithms and Functions: Graphs, Inverses, and Computations
Learn about logarithms, functions, and their inverses through graph sketching, operators, and solving equations with logs. Explore the relationship between exponentiation and logarithms, and understand how to rewrite powers as logarithms effectively.
0 views • 27 slides
Advanced Exponentiation Techniques for Efficient Computations
Learn about efficient exponentiation methods like repeated squaring and their applications in reducing the number of multiplications required for computing powers of a number, Fibonacci numbers, and more. Understand how these techniques can optimize arithmetic operations and improve computational ef
0 views • 51 slides
Advanced Cryptography Techniques Explained
Learn about efficient modular exponentiation, computing greatest common divisors using the Euclidean algorithm, and understanding primes and divisibility in the context of cryptography. Discover algorithms for exponentiation and modular arithmetic to enhance encryption methods effectively.
0 views • 25 slides
Understanding Cryptography Concepts: RSA, Group Exponentiation, Hard Problems
Dive into the world of cryptography concepts such as RSA, group exponentiation, and challenges in factoring. Learn about the importance of group orders, Fermat's little theorem, and efficient exponentiation techniques. Explore how certain number-theoretic problems are considered hard and why factori
0 views • 23 slides
Understanding Modular Exponentiation and Binary Numbers
Explore the concept of modular exponentiation and binary numbers in discrete structures. Learn how to represent numbers in different bases, such as binary, and perform calculations efficiently. Discover the process of dividing quotients by 2 and keeping remainders to convert numbers between bases. E
0 views • 22 slides
Foundations of Computing: Primes, GCD, Hashing, Exponentiation
Explore the concepts of primes, GCD, hashing, pseudo-random number generation, modular exponentiation, fast exponentiation, and more in the field of computing. Learn how these techniques are applied to solve computational problems efficiently.
0 views • 22 slides
Math Skills Development: Units and Concepts Overview
Explore key math concepts including number sense, ratio, fractions, Cartesian plane, indices, and standard form. Enhance skills in inequalities, decimals, time, ratios, fractions, coordinate plotting, and exponentiation. Detailed breakdown of units for comprehensive understanding.
0 views • 12 slides