How Cryptography Secures Digital Communication
What is Cryptography?
Cryptography is a technique used to transform plaintext (normal readable data) into ciphertext (encoded or unreadable data) using special algorithms and keys. This process is called encryption. The encrypted data can only be converted back into its original form using a key through a process called decryption.
For example, when you send a message online, cryptography encrypts the message so that even if someone intercepts it, they cannot understand the information without the
Essential Numerical Methods with C Examples
Essential Numerical Methods with C Examples
1. Newton-Raphson (Nonlinear Equation)
Algorithm (Very Simple Version)
- Read starting guess (x)
- Read tolerance (how small the error should be)
- Repeat many times:
- Calculate function value f(x)
- Calculate slope f'(x)
- If slope is almost zero → stop (bad)
- New x = x − f(x) / f'(x)
- If change is very small → stop (found answer)
- Show the root
C
#include <stdio.h>
#include <math.h>
double f(double x){ return x*x*x - 2*x - 5; }
double df(double x){ return 3*Essential Concepts in Modern Cybersecurity
1. Proving Euler’s Theorem: Example (a=3, n=10)
Euler’s Theorem Statement:
If the greatest common divisor gcd(a, n) = 1, then the following congruence holds:a^φ(n) ≡ 1 (mod n)
Step 1: Check GCD Condition
gcd(3, 10) = 1 ✅ (Condition met)
Step 2: Compute Euler’s Totient Function φ(10)
Prime factorization of 10: 10 = 2 × 5
Using the multiplicative property of φ:φ(10) = φ(2) × φ(5) = (2-1) × (5-1) = 1 × 4 = 4
Step 3: Substitute into the Theorem
We need to verify: 3^φ(10) = 3^4
Step 4: Compute
Read MoreUnderstanding Hacker Ethics and Cryptography Techniques
Hacker: Someone who seeks to understand how systems work and finds ways to make them do things they weren’t originally designed to do. Security depends on maintenance and verification, not trust.
Social Engineering: Manipulating people into revealing confidential info (pretexting, phishing, smishing, etc).
Encryption: Converts plaintext to ciphertext.
Decryption: Restores plaintext using a key.
Cipher: Algorithm pair for encryption and decryption.
Key: Secret value that controls the cipher. DES (56
Read MoreUnderstanding IoT Security Concepts and Terminology
Lectures 1–3
IoT (Internet of Things) – interconnected physical devices exchanging data.
MMU (Malfunction Management Unit) – hardware failsafe.
Invariant – rule defining safe system states.
NTCIP – network protocol for traffic signal controllers.
DoS / DDoS – denial of service (resource flooding).
Replay Attack – reuse of old valid data packets.
Eavesdropping – intercepting communication.
Injection Attack – unauthorized commands/data inserted.
Tampering – altering transmitted or stored
Read MoreCryptography and Network Security Fundamentals
Cryptanalysis: Principles and Attacks
Definition
Cryptanalysis is the process of studying and breaking encryption to recover plaintext or the secret key without knowing the key.
Purpose
The purpose of cryptanalysis is to find weaknesses in a cryptographic algorithm, recover hidden plaintext or keys, check how strong the encryption is, and determine how easily an attacker can exploit the system.
Working Process
- Attacker collects ciphertext.
- Makes guesses or analyzes patterns in the encryption.
- Tries decrypting
