2007/02/12 by Dillon Mayhew, Gordon F. Royle, Gordon Royle +2 · 2 citations
Computer Science · Engineering · Mathematics · #05B35 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Optical Network Technologies #PAPR reduction in OFDM #math.CO #msc:05B35
paper · pdf · doi:10.48550/arxiv.math/0702316
22 pages
arxiv created 2007/02/12 · openalex publication_date 2007/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe the computation of a catalogue containing all matroids with up to nine elements, and present some fundamental data arising from this cataogue. Our computation confirms and extends the results obtained in the 1960s by Blackburn, Crapo and Higgs. The matroids and associated data are stored in an online database, and we give three short examples of the use of this database.