Algebra and Number Theory

• BCH codes based on polynomial manipulation. using Maple as a scratchpad.
• Explore patterns in $a^n \ mod \ p$ pictures.
• Computer support for polynomial Euclidean algorithm.
• RSA calculations.
• Compare different approaches (and empirical behavior) to an isprime predicate.
• Compute with continued fractions.
• Do and interpret permutation group calculations. Or work with group presentations.
• Grobner basis applications.
• Web Resources: