1 citations · 2 across the 15 of their papers we have counts for
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High-Girth QLDPC Codes from Circulant and Affine Permutation Matrices
Vahid Nourozi, Roxana Smarandache, David G. M. Mitchell†
We study two explicit constructions of binary Calderbank--Shor--Steane quantum low-density parity-check (QLDPC) codes with check weight six. The first uses a fixed circulant shift…
Lifted-Product QLDPC Codes in the Polynomial Domain
Vahid Nourozi, Mohsen Moradi, Roxana Smarandache +1
This paper presents a finite-length polynomial-domain formulation of lifted-product quantum low-density parity-check (QLDPC) codes. We formulate the code construction over the quot…
High-Performance Reinforcement-Learned BP Decoding of Quantum LDPC Codes
Mohsen Moradi, Vahid Nourozi, Taejoon Kim +2
Belief-propagation (BP) decoding is attractive for quantum low-density parity-check (QLDPC) codes because it uses local message passing on sparse Tanner graphs. However, convention…
Learning to Decode Quantum LDPC Codes Via Belief Propagation
Mohsen Moradi, Vahid Nourozi, Salman Habib +1
Belief-propagation (BP) decoding for quantum low-density parity-check (QLDPC) codes is appealing due to its low complexity, yet it often exhibits convergence issues due to quantum…
Constructing Quantum Convolutional Codes via Difference Triangle Sets
Vahid Nourozi, David Mitchell
In this paper, we introduce a construction of quantum convolutional codes (QCCs) based on difference triangle sets (DTSs). To construct QCCs, one must determine polynomial stabiliz…
Sequential BP-based Decoding of QLDPC Codes
Mohsen Moradi, Salman Habib, Vahid Nourozi +1
Quantum low-density parity-check (QLDPC) codes are a leading approach to quantum error correction, yet conventional belief propagation (BP) decoders often perform poorly, primarily…
Goppa Codes: Key to High Efficiency and Reliability in Communications
Behrooz Mosallaei, Farzaneh Ghanbari, Sepideh Farivar +1
In this paper, we study some codes of algebraic geometry related to certain maximal curves. Quantum stabilizer codes obtained through the self orthogonality of Hermitian codes of t…
Application of the Cartier Operator in Coding Theory
Vahid Nourozi
The -number is an invariant of the isomorphism class of the -torsion group scheme. We use the Cartier operator on to find a closed formula for the $a…