Results 41 to 50 of about 74,437 (278)

New Combinatorial Construction Techniques for Low-Density Parity-Check Codes and Systematic Repeat-Accumulate Codes [PDF]

, 2012
This paper presents several new construction techniques for low-density parity-check (LDPC) and systematic repeat-accumulate (RA) codes. Based on specific classes of combinatorial designs, the improved code design focuses on high-rate structured codes ...
Gruner, Alexander, Huber, Michael
core   +1 more source

Combinatorial Bounds and Characterizations of Splitting Authentication Codes

, 2010
We present several generalizations of results for splitting authentication codes by studying the aspect of multi-fold security. As the two primary results, we prove a combinatorial lower bound on the number of encoding rules and a combinatorial ...
B Du, C Blundo, CE Shannon, D Pei, DR Stinson, DR Stinson, DR Stinson, EF Brickell, EN Gilbert, G Ge, GJ Simmons, GJ Simmons, GJ Simmons, GJ Simmons, GJ Simmons, GJ Simmons, J Wang, JL Massey, K Kurosawa, K Kurosawa, M Huber, M Soete De, M Soete De, Michael Huber, T Beth, T Johansson, W Ogata   +26 more
core   +1 more source

Generating Fault-Tolerant Cluster States from Crystal Structures [PDF]

Quantum, 2020
Measurement-based quantum computing (MBQC) is a promising alternative to traditional circuit-based quantum computing predicated on the construction and measurement of cluster states.
Michael Newman, Leonardo Andreta de Castro, Kenneth R. Brown   +2 more
doaj   +1 more source

Combinatorial aspects of jump codes

Discrete Mathematics, 2005
Jump codes are a special class of quantum error correcting codes. The authors study combinatorial and symmetry properties of these codes. The paper considers the quantum correction model where errors are detected due to quantum jumps. This means that, for example a state of \(| 1>\) is spontaneously transformed into a state of \(| 0>\).
Chris Charnes, Thomas Beth
openaire   +1 more source

PIR Codes from Combinatorial Structures

, 2023
A $k$-server Private Information Retrieval (PIR) code is a binary linear $[m,s]$-code admitting a generator matrix such that for every integer $i$ with $1\le i\le s$ there exist $k$ disjoint subsets of columns (called recovery sets) that add up to the vector of weight one, with the single $1$ in position $i$.
Giulietti, Massimo, Sabatini, Arianna, Timpanella, Marco   +2 more
openaire   +3 more sources

Oriented matroids and combinatorial neural codes

Combinatorial Theory, 2023
A combinatorial neural code $\mathscr C\subseteq 2^{[n]}$ is convex if it arises as the intersection pattern of convex open subsets of $\mathbb R^d$. We relate the emerging theory of convex neural codes to the established theory of oriented matroids, both categorically and with respect to geometry and computational complexity.
Alexander B. Kunin, Caitlin Lienkaemper, Zvi Rosen   +2 more
openaire   +4 more sources

Combinatorial NLTS From the Overlap Gap Property [PDF]

Quantum
In an important recent development, Anshu, Breuckmann, and Nirkhe \cite{anshu2022nlts} resolved positively the so-called No Low-Energy Trivial State (NLTS) conjecture by Freedman and Hastings.
Eric R. Anschuetz, David Gamarnik, Bobak Kiani   +2 more
doaj   +1 more source

Preferences of Pediatric Patients and Their Caregivers for Chemotherapy‐Induced Nausea and Vomiting Control Endpoints: A Mixed Methods Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Although not always achieved, complete chemotherapy‐induced nausea and vomiting (CINV) control is the conventional goal of CINV prophylaxis. In this two‐center, mixed‐methods study, we sought to understand the preferences of adolescent patients and family caregivers for CINV control endpoints.
Haley Newman, Tadi Hondonga, Alison Berry, Caitlin Elgarten, Jason Freedman, Katelyn Oranges, Sara McDonough, Caroline Diorio, L. Lee Dupuis   +8 more
wiley   +1 more source

Health‐Related Quality of Life and Symptom Severity Among Patients With PIK3CA‐Related Overgrowth Spectrum: A Mixed‐Methods Study to Understand Real‐World Experience With Alpelisib Treatment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu, Kaitlin LaGasse, Cory D. Saucier, Kimberly Raymond, Miranda Lauher‐Charest, Lauren Crowder, Beilei Cai, Mary Lisha Paul, Denise Adams   +8 more
wiley   +1 more source

Hyperplane Neural Codes and the Polar Complex

, 2019
Hyperplane codes are a class of convex codes that arise as the output of a one layer feed-forward neural network. Here we establish several natural properties of stable hyperplane codes in terms of the {\it polar complex} of the code, a simplicial ...
Allen Hatcher, Anders Björner, Carina Curto, Carina Curto, Dmitry Kozlov, G Cybenko, Hans-Jürgen Bandelt, John O’Keefe, Kurt Hornik, Rebecca Garcia, Torkel Hafting   +10 more
core   +1 more source