Frames over finite fields: basic theory and equiangular lines in unitary geometry
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Publication:2667093
DOI10.1016/j.ffa.2021.101954zbMath1483.42019arXiv2012.12977OpenAlexW3212423547MaRDI QIDQ2667093
Dustin G. Mixon, Joseph W. Iverson, John Jasper, Gary R. W. Greaves
Publication date: 23 November 2021
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12977
General harmonic expansions, frames (42C15) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Finite geometry and special incidence structures (51E99)
Related Items (3)
Doubly transitive lines. I: Higman pairs and roux ⋮ Frames over finite fields: equiangular lines in orthogonal geometry ⋮ Dual finite frames for vector spaces over an arbitrary field with applications
Uses Software
Cites Work
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- Super-symmetric informationally complete measurements
- Optimal simplices and codes in projective spaces
- The road to deterministic matrices with the restricted isometry property
- Progression-free sets in \(\mathbb{Z}_4^n\) are exponentially small
- On large subsets of \(\mathbb{F}_q^n\) with no three-term arithmetic progression
- Constructing tight fusion frames
- Steiner equiangular tight frames
- Equiangular lines and covers of the complete graph
- Frame theory for binary vector spaces
- On the existence of equiangular tight frames
- Modular difference sets
- Spherical codes and designs
- The Magma algebra system. I: The user language
- 64 lines from a quaternionic polytope
- Grassmannian frames with applications to coding and communication
- An introduction to finite tight frames
- A sum-product estimate in finite fields, and applications
- Optimal line packings from nonabelian groups
- Frames over finite fields: equiangular lines in orthogonal geometry
- Quaternionic equiangular lines
- Doubly transitive lines. I: Higman pairs and roux
- Polyphase equiangular tight frames and abelian generalized quadrangles
- Tremain equiangular tight frames
- Equiangular lines, mutually unbiased bases, and spin models
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Equiangular lines
- Equiangular Tight Frames From Hyperovals
- Fingerprinting With Equiangular Tight Frames
- On the size of Kakeya sets in finite fields
- On the passage from local to global in number theory
- A Simple Construction of Complex Equiangular Lines
- Achieving the Welch Bound With Difference Sets
- A Generic Construction of Complex Codebooks Meeting the Welch Bound
- Erdös distance problem in vector spaces over finite fields
- Lower bounds on the maximum cross correlation of signals (Corresp.)
- Constructing exact symmetric informationally complete measurements from numerical solutions
- Fibonacci-Lucas SIC-POVMs
- Symmetric informationally complete quantum measurements
- Introduction to Finite Frame Theory
- OPTIMAL LINE PACKINGS FROM FINITE GROUP ACTIONS
- Symmetric informationally complete positive-operator-valued measures: A new computer study
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