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Preprint Aug 2026

Non-Binary Quasi-Cyclic LDPC Codes with Entanglement Assistance

We construct two families of non-binary entanglement assisted (EA) quasi-cyclic (QC) quantum low-density parity-check (QLDPC) codes over arbitrary finite fields, each possessing a precisely determined code rate. The first family is derived from a pair of non-binary classical QC-LDPC codes, designed such that the unassi...

Pavan Kumar, S. Garani · 0 citations
Preprint Sep 2026

Optimal Pure Quantum $(r,\delta)$-LRCs from Euclidean and Hermitian Dual-Containing Cyclic Codes

Locally recoverable codes (LRCs) combine global error correction with the ability to repair a small number of erased coordinates by accessing only a limited number of other coordinates. Motivated by their quantum counterparts, we construct several families of optimal cyclic $(r,\delta)$-LRCs that are Euclidean or Hermi...

Astha Agrawal, S. Garani · 0 citations

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