Discrete Mathematics and Combinatorics Commons^™

Classification Of Doubly-Even Linear Binary Codes: An Analysis Of The Sagemath Implementation, Tom Gadron

Senior Projects Spring 2023

Classification of doubly-even linear binary codes involves finding and enumerating permutation equivalence classes of subspaces of the vector space F2_n . This project provides an analysis and explanation of the SageMath functions written by Robert Miller that implement the algorithm used for generating these codes.

Parking Garage Functions, Felicia Elizabeth Flores

Senior Projects Spring 2023

Senior Project submitted to The Division of Science, Mathematics and Computing of Bard College.

This project is about a generalization of parking functions called parking garage functions. Parking functions have been well studied, but the concept of parking garage functions is new and introduced in the project. Parking garage functions are sequences that represent the parking garage level preferences of cars which lead to all cars parking on a level after a systematic placement. We found a recursive formula for the number of sequences that are a parking garage function. We also found a closed formula for a subset of …