MA 437
Applications of Abstract Algebra
Mathematics
MA 437 Projects
List of Projects
Source Material for Projects
Project 1.1: Projective Planes
Project 1.2: Quadratic Residues
Project 1.3: Steiner Triple Systems
Project 2.1: Reed-Solomon Codes (the material is in Sections 1.7, 5.1 and 5.2 of Klima, Sigmon and Stitzinger)
Project 2.2: Cyclic Codes
Project 2.3: Shannon's Theorem
Project 2.4: Identification Numbers
Project 3.1: Quantum Cryptography
Project 3.2: Quadratic Residues, Coin Flipping by Phone and Zero Knowledge Proofs
Project 3.3: Knapsack Ciphers
Project 3.4: Factoring
Project 3.5: Pseudoprimes
Project 3.6: Vigenere Ciphers (see Exercises 3 and 5 on p. 257 of Klima, Sigmon and Stitzinger)
Project 3.7: RSA Cryptosystems (See Exercises 4 and 5 on p. 289 of Klima, Sigmon and Stitzinger)
Project 3.8: Diffie Hellman
Project 3.9: Semigroups
Project 3.10: Cayley-Purser Cryptosystem
Project 4.1: Cycle Index
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Last
modified Monday, October 15, 2007
Last
modified Monday, October 15, 2007