5 citations · 6 across the 12 of their papers we have counts for
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Optimal Pure Quantum -LRCs from Euclidean and Hermitian Dual-Containing Cyclic Codes
Astha Agrawal, Shayan Srinivasa Garani
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 coordin…
Non-Binary Quasi-Cyclic LDPC Codes with Entanglement Assistance
Pavan Kumar, Shayan Srinivasa Garani
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…
Two-dimensional Entanglement-assisted Quantum Quasi-cyclic Low-density Parity-check Codes
Pavan Kumar, Shayan Srinivasa Garani
For any positive integer , we derive general condition for the existence of a -cycle in the Tanner graph of two-dimensional (-D) classical quasi-cyclic (QC) low-den…
Decoding Algorithms for Two-dimensional Constacyclic Codes over
Vidya Sagar, Shikha Patel, Shayan Srinivasa Garani
We derive the spectral domain properties of two-dimensional (2-D) -constacyclic codes over using the 2-D finite field Fourier transform (FFFT). Based on…
Entanglement-assisted Quasi-cyclic Quantum Low-density Parity-check Codes over Qubits
Pavan Kumar, Abhi Kumar Sharma, Karthik Bharadwaj +1
We construct several families of entanglement-assisted quasi-cyclic quantum LDPC (EA-QC-QLDPC) codes via structured tilings of permutation matrices. The entanglement-unassisted por…
On the Structure of Two-Dimensional Constacyclic Codes using Common Zero Sets
Vidya Sagar, Shikha Patel, Ashutosh Singh +1
We consider two-dimensional -constacyclic codes over of area , where is some power of prime with and . With the…