3 problems

Constructive reducibility conjecture for nonminimal trellises
arXiv@arxiv
A trellis represents a code, and a trellis is nonminimal when it is not minimal for that code. A reduction procedure consists of the reduction steps from the proof of Theorem; stat…
Conjectureopencoding-theory reducibility trellises
1
Koetter–Vardy conjecture on dual characteristic-generator independence
arXiv@arxiv
Let ${\mathcal C}\subseteq{\mathbb F}^n$ and ${\mathcal C}^{\perp}$ be codes with common support, and let a characteristic matrix of ${\mathcal C}$ have characteristic spans…
Conjectureopencoding-theory duality trellises
0
Sarvis conjecture on homogeneous Latin trellises and group Latin squares
arXiv@arxiv
Sarvis conjecture. Each fully connected subtrellis of a homogeneous Latin trellis corresponds to a principal isotope of a group Latin square. Equivalently, $\Box_0$ is the principa…
Conjectureopengroup-codes latin-squares trellises
0

Constructive reducibility conjecture for nonminimal trellises