Results 51 to 60 of about 8,529,401 (324)
Classical product code constructions for quantum Calderbank-Shor-Steane codes [PDF]
Several notions of code products are known in quantum error correction, such as hypergraph products, homological products, lifted products, balanced products, to name a few.
Dimiter Ostrev +3 more
doaj +1 more source
MDR codes and self-dual codes on Cartesian product codes
A Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2,
LIU Xiu-sheng
doaj +2 more sources
On the minimum stopping sets of product codes [PDF]
It is shown that the certain combinatorial structures called stopping sets have the important role in analysis of iterative decoding. In this paper, the number of minimum stopping sets of a product code is determined by the number of the minimum stopping
Morteza Hivadi, Akbar Zare Chavoshi
doaj +1 more source
Soft Incremental Redundancy for Distributed Turbo Product Codes
In this paper, we propose a distributed turbo product code (DTPC) with soft information relaying over cooperative network using block extended bose Chaudhuri Hochquenghem (EBCH) codes as component codes.
Xiang, Wei +7 more
core +1 more source
Random Khatri-Rao-Product Codes for Numerically-Stable Distributed Matrix Multiplication [PDF]
We propose a class of codes called random Khatri- Rao-Product (RKRP) codes for distributed matrix multiplication in the presence of stragglers. The main advantage of the proposed codes is that decoding of RKRP codes is highly numerically stable in ...
Adarsh M. Subramaniam +2 more
semanticscholar +1 more source
Decoding across the quantum low-density parity-check code landscape
We show that belief propagation combined with ordered statistics post-processing is a general decoder for quantum low-density parity-check codes constructed from the hypergraph product.
Joschka Roffe +3 more
doaj +1 more source
A survey on product codes and 2-D codes
40 pages, typos corrected, references added.
openaire +2 more sources
ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo +5 more
wiley +1 more source
Four Times Extended Reed Solomon Codes, their Decoding and Application in EII Codes for Data Repair
Data recovery in distributed and general storage systems requires a broad range of regenerating codes with different properties such as locality, availability, scalability, etc.
Peter Farkas +4 more
doaj +1 more source
A novel soft-aided bit-marking decoder for product codes [PDF]
We introduce a novel soft-aided hard-decision decoder for product codes adopting bit marking via updated reliabilities at each decoding iteration. Gains up to 0.8 dB vs. standard iterative bounded distance decoding and up to 0.3 dB vs.
G. Liga, Alireza Sheikh, A. Alvarado
semanticscholar +1 more source

