4 citations · 6 across the 5 of their papers we have counts for
5 papers
Polarization of Neural Rings
Sema Gunturkun, Jack Jeffries, Jeffrey Sun
The "neural code" is the way the brain characterizes, stores, and processes information. Unraveling the neural code is a key goal of mathematical neuroscience. Topology, coding the…
An Algebraic-Coding Equivalence to the Maximum Distance Separable Conjecture
Steven B. Damelin, Daniel Kaiser, Jeffrey Sun +1
In this paper, we provide Algebraic-Coding necessary and sufficient conditions for the Maximum Distance Separable Conjecture to hold.
On a condition equivalent to the Maximum Distance Separable conjecture
Jeffery Sun, Steven Damelin, Daniel Kaiser
We denote by the vector space of functions from a finite field to itself, which can be represented as the space $\mathcal{P}_q := \mathbb{F}_q[x]/(x^…
The Truncated & Supplemented Pascal Matrix and Applications
M. Hua, S. B. Damelin, J. Sun +1
In this paper, we introduce the (with ) truncated, supplemented Pascal matrix which has the property that any columns form a linearly independent set. This…
A Note on an Analytic Approach to the Problem of Finite Matroid Representability, The Cardinality of Sets of k-Independent Vectors over Finite Fields and the Maximum Distance Separable Conjecture
J. Sun, S. B. Damelin
We introduce various quantities that can be defined for an arbitrary finite matroid, and show that certain conditions on these quantities imply that a matroid is not representable…