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20192026
most citedGoppa code and quantum stabilizer codes from plane curves given by separated polynomials

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quant-ph2026

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…

cs.IT2026

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…

cs.IT2026

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…

cs.IT2026

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…

cs.IT2026

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…

cs.IT2026

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…

cs.IT2026

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…