Trace of Products in Finite Fields from a Combinatorial Point of View

DOI10.1137/19M1279903zbMath1440.05113OpenAlexW2986520329WikidataQ126855376 ScholiaQ126855376MaRDI QIDQ5243171

Sam Mattheus

Publication date: 15 November 2019

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1279903

zbMATH Keywords

finite fieldtraceexpandereigenvalue method

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Radix representation; digital problems (11A63)

Related Items (2)

Pseudorandom sequences derived from automatic sequences ⋮ On the distribution of the Rudin-Shapiro function for finite fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unimodular graphs and Eisenstein sums
• The sum of digits of squares
• Spectra of graphs
• Lifts, discrepancy and nearly optimal spectral gap
• On a problem of Gelfond: the sum of digits of prime numbers
• Explicit construction of linear sized tolerant networks
• Triangle-free induced subgraphs of the unitary polarity graph
• Trace of products in finite fields
• Prescribing digits in finite fields
• Interlacing eigenvalues and graphs
• Large incidence-free sets in geometries
• Polynomial values and generators with missing digits in finite fields
• The sum of digits function in finite fields
• Field reduction and linear sets in finite geometry

This page was built for publication: Trace of Products in Finite Fields from a Combinatorial Point of View