COE 509: Applied Cryptosystems: Techniques and Architectures


Instructor   Dr. Adnan GutubOffice: 22/145  Phone: 1723  Email:


Term 062 


Catalogue Description:

Introduction to encryption and information hiding.

Mathematical Foundation of Cryptography.

Private and Public key Cryptosystems.

Key Protocol and Management.


Advanced Encryption Standard.

Digital Signatures.

Elliptic Curve Cryptosystems.

Architectures of Cryptosystems and Processors.



Consent of Instructor.


Helpful Books:

1.      Handbook of Applied Cryptography, Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone

2.      Modern Cryptography Protect Your Data with Fast Block Ciphers, Nik Goots, Boris Izotov, Alex Moldovyan, Nik Moldovyan

3.      Cryptography Theory and Practice, Doug Stinson


Grading Policy:

Exams 30%~40%

Assignments 60%~70% (three types)

1.      Steganography Assignment

Week 3: Proposed Idea and References to be submitted.

Week 6: Final Report and presentation.

2.      Crypto Project Assignment (topic based on interest)

Week 9: Proposed Idea and References to be submitted.

Week 13: Final Report and Final presentation.

3.      Ad Hoc Assignments, Quizzes and Presentations.


Covered Lectures Topics :

         Introduction (Week 1)

o       Concepts; Definitions; Encryption & Info hiding

         Steganography (Week 1-2)

o       Applications; Main aspects; Difference: Cryptography and Watermarking; Stego model; Greyscale images & Text steganography

         Overview of Cryptography (Week 2-3)

o       Terminology; Crypto model & Attack means; Kerckhkoffs principle; Mono-alphabetic ciphers; Modern ciphers property; Symmetric/Asymmetric key cryptography & applications; Public Crypto Spoofing Attack (Man-in-middle); Key management issues

o       Hill ciphers; Modulo arithmetic properties; Detailed example of cryptography using modulo computations

o       Authentication; Aspects of PKC; Key space & Brute force; Unbreakable Cryptosystem; Crypto Applications; Hash Functions; Security Risks & Attacks

         Classic Cryptosystems (Week 4-5)

o       Modulo & Ring characteristics; Properties of Good Cryptosystems

o       One-Time Pad; Random number generation; Stream Ciphers; LFSR; Nonlinear Combination Generator (Geffe generator); Synchronous/Asynchronous Stream Ciphers; SEAL

         RSA & Number Theory (Week 6-7)

o       Diffie Hellman Key distribution; trapdoor one-way function; PKC & Standards;Divisibility; Primes; GCD; Euclidean algorithm & its extension; Congruence Classes; Chinese Remainder Theorem; Eulerís theorem; Exponentiation; Primitive roots

o       RSA encryption & decryption; RSA digital signature; RSA Key lengths; RSA security & attack

o       Finite Fields; Group properties - abelian - cyclic; Order of groups; Galois Fields; Polynomial Arithmetic in general and in GF(2n)

         RSA Hardware Architectures (Week 8-9)

o       RSA Implementations Principles; 90ís RSA & Modular arithmetic designs; RSA exponentiation (MSB first & LSB first) algorithms & architectures comparisons

o       RSA Multiplication; Montgomery Multiplication Princeples; Montgomery Multiplication Hardware algorithms & architectures; Expandable designs; Scalable designs; Improving multiplication through fast adders.

         Elliptic Curve Cryptography (ECC) (Week 10-11)

o       What & Why ECC?; Benefits, Applications, Equivalent key sizes; Security Strength

o       Some theory of Elliptic Curves (EC); EC & finite fields; EC Point properties & operations; EC Scalar multiplications;EC Discrete Logarithm Problem (ECDLP); EC Generator Point

o       ECC Application: ECDH, EC Encryption/Decryption, ECDSA, ElGamal ECC

o       EC Projective Coordinate Systems

         ECC Hardware Issues (Week 11-13)

o       GF(p) & GF(2k) ECC Architecture Designing: Single/Multiple/Pipelined Multiplier Desings

o       Montgomery Modular Inverse Hardware & Scalability; Multi-bit shifting Invsrsion Hardware; Unified Montgomery Inversion in GF(p) & GF(2k)

         Symmetric Key Cryptosystems (Week 13-14)

o       Block Cipher Modes: Electronic Codebook, Cipher Block Chaining (CBC), Cipher Feedback (CFB); Evaluating block ciphers; DES Encryption/Decryption; AES Encryption/Decryption

         Crypto Remarks (Week 14-15)

o       Public Key Management

o       Cryptography: What Makes it Applied?

o       Students Research Presentations