5 papers
Univariate Bicycle Quantum LDPC Codes: Explicit Logical Structure and Distance Bounds
Sheida Rabeti, Hessam Mahdavifar
We introduce univariate bicycle (UB) codes, a structured subclass of generalized bicycle (GB) quantum low-density parity-check (LDPC) codes obtained via a Frobenius relation. This…
Multiple-Bases Belief Propagation List Decoding for Quantum LDPC Codes
Sheida Rabeti, Hessam Mahdavifar
In this paper, we propose a belief-propagation (BP)-based decoder, termed the Multiple-Bases Belief-Propagation List Decoder (MBBP-LD), for quantum low-density parity-check (QLDPC)…
List Decoding and New Bicycle Code Constructions for Quantum LDPC Codes
Sheida Rabeti, Hessam Mahdavifar
In this paper, we propose a new decoder, called the Multiple-Bases Belief-Propagation List Decoder (MBBP-LD), for Quantum Low-Density Parity-Check (QLDPC) codes. It extends the Mul…
On the High-Rate FDPC Codes: Construction, Encoding, and a Generalization
Mohsen Moradi, Sheida Rabeti, Hessam Mahdavifar
Recently introduced Fair-Density Parity-Check (FDPC) codes, targeting high-rate applications, offer superior error-correction performance (ECP) compared to 5G Low-Density Parity-Ch…
Bounds and New Constructions for Girth-Constrained Regular Bipartite Graphs
Sheida Rabeti, Mohsen Moradi, Hessam Mahdavifar
In this paper, we explore the design and analysis of regular bipartite graphs motivated by their application in low-density parity-check (LDPC) codes specifically with constrained…