Showing cs.ITShow all
2 papers · 1 filter
cs.IT2025
Hierarchical Quasi-cyclic Codes from Reed-Solomon and Polynomial Evaluation Codes
Emily McMillon, Kathryn Haymaker
We introduce the first example of algebraically constructed hierarchical quasi-cyclic codes. These codes are built from Reed-Solomon codes using a 1964 construction of superimposed…
cs.IT2024
Parity-check Codes from Disjunct Matrices
Kathryn Haymaker, Emily McMillon
The matrix representations of linear codes have been well-studied for use as disjunct matrices. However, no connection has previously been made between the properties of disjunct m…