beauty of mathematic

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This slide is about the beauty of mathematics through one of the interesting case of study, CRYPTOGRAPHY

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Page 1: Beauty of Mathematic

LOGOhttp://www.sharingnewz.com

CRYPTOGRAPHYCRYPTOGRAPHY

Created by Pro$acK for SharingNewZ.comSEP080012

B. Sc Edu PhySic and Math

Page 2: Beauty of Mathematic

Outlines

Introduction1

The theories2

Closure4

Further explanation33

Page 3: Beauty of Mathematic

Introduction

Apa itu Cryptograpy Berasal daripada Cryptology dan graphein

yang bermaksud “tersembunyi/secret” dan “penulisan”.

Kajian dan pembelajaran tentang teknik untuk menghasilkan komunikasi rahsia daripada orang yang ketiga.

Macam mana ia berfungsi? Cryptographic algorithm(cipher) berfungsi

melalui proses encryption dan decryption mathematical function.

Page 4: Beauty of Mathematic

Introduction

Apa itu Encryption? Cara untuk menyamarkan sesuatu

textbiasa(plaintext) untuk melindungi isi kandungan.

Apa itu Decryption? Proses untuk reverse ciphertext(ayat

tersembunyi) kepada original plaintext(text biasa)

Modern cryptography intersects the disciplines of mathematics, computer science, and electrical engineering. Applications of cryptography include ATM cards, computer passwords, and electronic commerce.

Page 5: Beauty of Mathematic

Secure Communication

German Lorenz cipher machine, used in World War II to encrypt very-high-level general staffmessages

Page 6: Beauty of Mathematic

Jenis-jenis Cryptography

•Menghasilkan mesej melalui konsep bits.•Hanya boleh digunakan 1 kali sahaja.

One-time pad

•Menghasilkan mesej melalui konsep shift.•Antara teknik encrypt paling senang dan paling diketahui umum.

Caesar cipher

•Menghasilkan mesej melalui konsep linear algebra.•Teknik Encrypt pertama yang paling praktikal dan susah di decrypt kan.

Hill Cipher

Page 7: Beauty of Mathematic

One-time pad

EncryptDecrypt

Page 8: Beauty of Mathematic

Caesar cipher

Example:

Encryption of a letter can be describe as:

Decrypt is perform similarly

Page 9: Beauty of Mathematic

Hill Cipher

Hill's cipher machine, from figure 4 of the patent

Page 10: Beauty of Mathematic

Hill Cipher

Page 11: Beauty of Mathematic

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