1 citations · 2 across the 15 of their papers we have counts for
17 papers
Quantum LDPC Codes from Polynomial Minors
Vahid Nourozi, Roxana Smarandache, David G. M. Mitchell
We construct quantum codes from codewords of a cyclic code and the minors of a polynomial matrix. The construction uses a two-row, three-column matrix whose minors yield a second m…
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…
Reinforcement Learning Enhanced Greedy Decoding for Quantum Stabilizer Codes over
Vahid Nourozi
We construct new classical Goppa codes and corresponding quantum stabilizer codes from plane curves defined by separated polynomials. In particular, over with the He…
Flagged Extensions and Numerical Simulations for Quantum Channel Capacity: Bridging Theory and Computation
Vahid Nourozi
I will investigate the capacities of noisy quantum channels through a combined analytical and numerical approach. First, I introduce novel flagged extension techniques that embed a…
Quantum Error Correction with Goppa Codes from Maximal Curves: Design, Simulation, and Performance
Vahid Nourozi
This paper characterizes Goppa codes of certain maximal curves over finite fields defined by equations of the form . We investigate Algebraic Geometric and quantum s…
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…
The -number of over finite fields
Behrooz Mosallaei, Sepideh Farivar, Farzaneh Ghanbari +1
This paper presents a formula for -number of certain maximal curves characterized by the equation over the finite field . -num…
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…
The -number of over finite field
Vahid Nourozi, Behrooz Mosallaei
In this paper, we compute a formula for the -number of curve given by the equation over the finite field . T…
Goppa code and quantum stabilizer codes from plane curves given by separated polynomials
Vahid Nourozi, Farzaneh Ghanbari
In this paper, we examine algebraic geometric (AG) codes associated with curves generated by separated polynomials, and we create AG codes and quantum stabilizer codes from these c…
The Rank of the Cartier operator on Picard Curves
Vahid Nourozi, Farhad Rahmati
For an algebraic curve defined over an algebraically closed field of characteristic , the -number is the dimension of the space of exact ho…
The -number of Certain Hyperelliptic Curves
Vahid Nourozi, Farhad Rahmati, Saeed Tafazolian
In this paper, we compute a formula for the -number of certain hyperelliptic curves given by the equation for infinitely many values of . The same question is st…