PROGRAMMING AND CRYPTOGRAPHY

Wilber R. Rivas

Del Rio High School

San Felipe Del Rio CISD

Dr. Guofei Gu

Director of SUCCESS laboratory

Secure Communication and Computer Systems

Department of Computer Science & Engineering

ROAD MAP

Faculty Mentor Research Area Research Area and Classroom Project Classroom Project: Program using TI-84

Graphing Calculator Show how to program the quadratic

formula as an example Mathematical application: Cryptography

(extra) Acknowledgements

DIRECTOR

Guofei GuAssistant ProfessorDepartment of

Computer Science & Engineering

Director, SUCCESS LAB

2010 NSF CAREER award

Ph.d. Georgia Tech

RESEARCH AREA

Internet malware detection, defense, and analysis

• Intrusion detection, anomaly detections

• Network security

• Web and social networking security

Secure Communication is important

• Citicard Users Lost Around $2.7 Million from Security Breach

• The losses incurred by the Citigroup during a recent attack by hackers cost around $2.7 million after Citicard numbers were stolen from the website of the company

Relationship between research and project• Research: Developing algorithms for

secure communication

• Classroom project : Students will learn to develop algorithms to solve mathematical problems. They will learn to program mathematical formulas on the TI-84

TEKS §111.34. GEOMETRY (b) Knowledge and skills.

(1) Geometric structure. The student understands the structure of, and relationships within, an axiomatic system. The student is expected to:

(A) develop an awareness of the structure of a mathematical system, connecting definitions, postulates, logical reasoning, and theorems;

(3) Geometric structure. The student applies logical reasoning to justify and prove mathematical statements. The student is expected to:

(A) determine the validity of a conditional statement, its converse, inverse, and contrapositive;

(C) use logical reasoning to prove statements are true and find counter examples to disprove statements that are false;

(D) use inductive reasoning to formulate a conjecture; and

(E) use deductive reasoning to prove a statement.

CLASSROOM PROJECT

• Simple programming using a graphing calculator

  

Programming

• Students will work in groups of 2

• Formulas and mathematical problems will be provided

• Students will write program on paper and then test on the calculator

COMPUTERS CAN DO FIVE BASIC THINGS:1.Take input

2.Arithmetic

3.Repetition

4.Make decision based of input information

5.Give output

QUADRATIC FORMULA PROGRAM

 

PROGRAMMING

PRGM

PROGRAMMING CONT.

PROGRAMMING CONT.

FOR EXAMPLE: NAME OF PROGRAM IS QUAD

D

E

DO YOU KNOW HOW TO KEEP SECRETS?

COMPUTERS DON’T!!!!

(EXTRA) CRYPTOGRAPHY Cryptography comes from the Greek for “secret

writing.”

Students will use matrices to encrypt and decrypt plain text messages

[space] = 0, A=1, B=2, C=3, D=4, E=5, F=6, G=7, H=8, I=9, J=10, K=11, L=12 ,M=13, N=14, O=15, P=16, Q=17, R=18, S=19, T=20, U=21, V=22, W=23, X=24,Y=25, Z=26Matrix

CRYPTOGRAPHY

 

CRYPTOGRAPHY CONT.

 

 

ACKNOWLEDGEMENTS

Dr. Guofei Gu and staffE3 program coordinatorsMaster teachers: Stephen Hudson and Roberto DimaliwatE3 participantsJames Milender for encouraging me to apply