
@article{dirac_new_1939,
	title = {A new notation for quantum mechanics},
	volume = {35},
	issn = {1469-8064, 0305-0041},
	doi = {10.1017/S0305004100021162},
	language = {en},
	number = {3},
	journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
	author = {Dirac, P. a. M.},
	month = jul,
	year = {1939},
	pages = {416--418},
}

@article{huang_improved_2023,
	title = {Improved {Noisy} {Syndrome} {Decoding} of {Quantum} {LDPC} {Codes} with {Sliding} {Window}},
	doi = {10.48550/arXiv.2311.03307},
	publisher = {arXiv},
	author = {Huang, Shilin and Puri, Shruti},
	month = nov,
	year = {2023},
}

@article{huang_increasing_2024,
	title = {Increasing memory lifetime of quantum low-density parity check codes with sliding-window noisy syndrome decoding},
	volume = {110},
	doi = {10.1103/PhysRevA.110.012453},
	number = {1},
	journal = {Physical Review A},
	publisher = {American Physical Society},
	author = {Huang, Shilin and Puri, Shruti},
	month = jul,
	year = {2024},
	pages = {012453},
}

@article{xu_batched_2025,
	title = {Batched high-rate logical operations for quantum {LDPC} codes},
	doi = {10.48550/arXiv.2510.06159},
	publisher = {arXiv},
	author = {Xu, Qian and Zhou, Hengyun and Bluvstein, Dolev and Cain, Madelyn and Kalinowski, Marcin and Preskill, John and Lukin, Mikhail D. and Maskara, Nishad},
	month = oct,
	year = {2025},
}

@article{gidney_stability_2022,
	title = {Stability {Experiments}: {The} {Overlooked} {Dual} of {Memory} {Experiments}},
	volume = {6},
	issn = {2521-327X},
	shorttitle = {Stability {Experiments}},
	doi = {10.22331/q-2022-08-24-786},
	journal = {Quantum},
	author = {Gidney, Craig},
	month = aug,
	year = {2022},
	pages = {786},
}

@article{koutsioumpas_colour_2025,
	title = {Colour {Codes} {Reach} {Surface} {Code} {Performance} using {Vibe} {Decoding}},
	doi = {10.48550/arXiv.2508.15743},
	publisher = {arXiv},
	author = {Koutsioumpas, Stergios and Noszko, Tamas and Sayginel, Hasan and Webster, Mark and Roffe, Joschka},
	month = aug,
	year = {2025},
}

@article{koutsioumpas_automorphism_2025,
	title = {Automorphism {Ensemble} {Decoding} of {Quantum} {LDPC} {Codes}},
	language = {en},
	author = {Koutsioumpas, Stergios and Sayginel, Hasan and Webster, Mark and Browne, Dan E},
	month = mar,
	year = {2025},
}

@article{gottesman_heisenberg_1998,
	title = {The {Heisenberg} {Representation} of {Quantum} {Computers}},
	doi = {10.48550/arXiv.quant-ph/9807006},
	publisher = {arXiv},
	author = {Gottesman, Daniel},
	month = jul,
	year = {1998},
}

@article{gidney_stim_2021,
	title = {Stim: a fast stabilizer circuit simulator},
	volume = {5},
	shorttitle = {Stim},
	doi = {10.22331/q-2021-07-06-497},
	language = {en-GB},
	journal = {Quantum},
	publisher = {Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften},
	author = {Gidney, Craig},
	month = jul,
	year = {2021},
	pages = {497},
}

@phdthesis{higgott_practical_2024,
	type = {Doctoral},
	title = {Practical and {Efficient} {Quantum} {Error} {Correction}},
	copyright = {open},
	language = {eng},
	school = {UCL (University College London)},
	author = {Higgott, Oscar},
	month = jan,
	year = {2024},
}

@misc{noauthor_css_2025,
	title = {{CSS} codes},
	language = {en},
	journal = {IBM Quantum Learning},
	month = nov,
	year = {2025},
}

@misc{gong_toward_2024,
	title = {Toward {Low}-latency {Iterative} {Decoding} of {QLDPC} {Codes} {Under} {Circuit}-{Level} {Noise}},
	language = {en},
	journal = {arXiv.org},
	author = {Gong, Anqi and Cammerer, Sebastian and Renes, Joseph M.},
	month = mar,
	year = {2024},
}

@article{miao_quaternary_2025,
	title = {Quaternary {Neural} {Belief} {Propagation} {Decoding} of {Quantum} {LDPC} {Codes} with {Overcomplete} {Check} {Matrices}},
	volume = {13},
	issn = {2169-3536},
	doi = {10.1109/ACCESS.2025.3539475},
	journal = {IEEE Access},
	author = {Miao, Sisi and Schnerring, Alexander and Li, Haizheng and Schmalen, Laurent},
	month = feb,
	year = {2025},
	pages = {25637--25649},
}

@misc{tsouchlos_ccam_2024,
	title = {{CCAM} {Summary}},
	author = {Tsouchlos, Andreas},
	month = oct,
	year = {2024},
}

@article{kschischang_factor_2001,
	title = {Factor graphs and the sum-product algorithm},
	volume = {47},
	issn = {1557-9654},
	doi = {10.1109/18.910572},
	number = {2},
	journal = {IEEE Transactions on Information Theory},
	author = {Kschischang, F.R. and Frey, B.J. and Loeliger, H.-A.},
	month = feb,
	year = {2001},
	pages = {498--519},
}

@book{griffiths_introduction_1995,
	title = {Introduction to {Quantum} {Mechanics}},
	isbn = {0-13-124405-1},
	language = {en},
	publisher = {Prentice Hall},
	author = {Griffiths, David J.},
	year = {1995},
}

@misc{bradley_tensor_2018,
	title = {The {Tensor} {Product}, {Demystified}},
	author = {Bradley, Tai-Danae},
	month = nov,
	year = {2018},
}

@book{nielsen_quantum_2010,
	address = {Cambridge},
	title = {Quantum {Computation} and {Quantum} {Information}: 10th {Anniversary} {Edition}},
	isbn = {978-0-511-97666-7},
	shorttitle = {Quantum {Computation} and {Quantum} {Information}},
	doi = {10.1017/CBO9780511976667},
	language = {en},
	publisher = {Cambridge University Press},
	author = {Nielsen, Michael A. and Chuang, Isaac L.},
	month = dec,
	year = {2010},
}

@article{geiselhart_automorphism_2021,
	title = {Automorphism {Ensemble} {Decoding} of {Reed}–{Muller} {Codes}},
	volume = {69},
	issn = {1558-0857},
	doi = {10.1109/TCOMM.2021.3098798},
	number = {10},
	journal = {IEEE Transactions on Communications},
	author = {Geiselhart, Marvin and Elkelesh, Ahmed and Ebada, Moustafa and Cammerer, Sebastian and Brink, Stephan ten},
	month = jul,
	year = {2021},
	pages = {6424--6438},
}

@article{derks_designing_2025,
	title = {Designing fault-tolerant circuits using detector error models},
	doi = {10.48550/arXiv.2407.13826},
	publisher = {arXiv},
	author = {Derks, Peter-Jan H. S. and Townsend-Teague, Alex and Burchards, Ansgar G. and Eisert, Jens},
	month = oct,
	year = {2025},
}

@phdthesis{klinke_neural_2025,
	address = {Karlsruhe},
	type = {Bachelor's {Thesis}},
	title = {Neural {Belief} {Propagation} {Ensemble} {Decoding} of {Quantum} {LDPC} {Codes}},
	language = {English},
	school = {KIT},
	author = {Klinke, Jeremi},
	month = sep,
	year = {2025},
}

@article{camps-moreno_toward_2024,
	title = {Toward {Quantum} {CSS}-{T} {Codes} from {Sparse} {Matrices}},
	doi = {10.48550/arXiv.2406.00425},
	abstract = {CSS-T codes were recently introduced as quantum error-correcting codes that respect a transversal gate. A CSS-T code depends on a pair \$(C\_1, C\_2)\$ of binary linear codes \$C\_1\$ and \$C\_2\$ that satisfy certain conditions. We prove that \$C\_1\$ and \$C\_2\$ form a CSS-T pair if and only if \$C\_2 {\textbackslash}subset {\textbackslash}operatorname\{Hull\}(C\_1) {\textbackslash}cap {\textbackslash}operatorname\{Hull\}(C\_1{\textasciicircum}2)\$, where the hull of a code is the intersection of the code with its dual. We show that if \$(C\_1,C\_2)\$ is a CSS-T pair, and the code \$C\_2\$ is degenerated on \${\textbackslash}\{i{\textbackslash}\}\$, meaning that the \$i{\textasciicircum}\{th\}\$-entry is zero for all the elements in \$C\_2\$, then the pair of punctured codes \$(C\_1{\textbar}\_i,C\_2{\textbar}\_i)\$ is also a CSS-T pair. Finally, we provide Magma code based on our results and quasi-cyclic codes as a step toward finding quantum LDPC or LDGM CSS-T codes computationally.},
	publisher = {arXiv},
	author = {Camps-Moreno, Eduardo and López, Hiram H. and Matthews, Gretchen L. and McMillon, Emily},
	month = jun,
	year = {2024},
}

@article{roffe_quantum_2019,
	title = {Quantum error correction: an introductory guide},
	volume = {60},
	issn = {0010-7514},
	shorttitle = {Quantum error correction},
	doi = {10.1080/00107514.2019.1667078},
	number = {3},
	journal = {Contemporary Physics},
	publisher = {Taylor \& Francis},
	author = {Roffe, Joschka},
	month = jul,
	year = {2019},
	pages = {226--245},
}

@article{gottesman_introduction_2009,
	title = {An {Introduction} to {Quantum} {Error} {Correction} and {Fault}-{Tolerant} {Quantum} {Computation}},
	doi = {10.48550/arXiv.0904.2557},
	publisher = {arXiv},
	author = {Gottesman, Daniel},
	month = apr,
	year = {2009},
}

@article{gottesman_theory_1998,
	title = {Theory of fault-tolerant quantum computation},
	volume = {57},
	doi = {10.1103/PhysRevA.57.127},
	number = {1},
	journal = {Physical Review A},
	publisher = {American Physical Society},
	author = {Gottesman, Daniel},
	month = jan,
	year = {1998},
	pages = {127--137},
}

@article{calderbank_quantum_1997,
	title = {Quantum {Error} {Correction} via {Codes} over {GF}(4)},
	doi = {10.48550/arXiv.quant-ph/9608006},
	publisher = {arXiv},
	author = {Calderbank, A. R. and Rains, E. M. and Shor, P. W. and Sloane, N. J. A.},
	month = sep,
	year = {1997},
}

@article{gottesman_stabilizer_1997,
	title = {Stabilizer {Codes} and {Quantum} {Error} {Correction}},
	doi = {10.48550/arXiv.quant-ph/9705052},
	publisher = {arXiv},
	author = {Gottesman, Daniel},
	month = may,
	year = {1997},
}

@article{shor_fault-tolerant_1997,
	title = {Fault-tolerant quantum computation},
	doi = {10.48550/arXiv.quant-ph/9605011},
	publisher = {arXiv},
	author = {Shor, Peter W.},
	month = mar,
	year = {1997},
}

@article{divincenzo_fault-tolerant_1996,
	title = {Fault-{Tolerant} {Error} {Correction} with {Efficient} {Quantum} {Codes}},
	volume = {77},
	issn = {0031-9007, 1079-7114},
	doi = {10.1103/PhysRevLett.77.3260},
	number = {15},
	journal = {Physical Review Letters},
	author = {DiVincenzo, David P. and Shor, Peter W.},
	month = oct,
	year = {1996},
	pages = {3260--3263},
}

@article{calderbank_good_1996,
	title = {Good quantum error-correcting codes exist},
	volume = {54},
	doi = {10.1103/PhysRevA.54.1098},
	number = {2},
	journal = {Physical Review A},
	publisher = {American Physical Society},
	author = {Calderbank, A. R. and Shor, Peter W.},
	month = aug,
	year = {1996},
	pages = {1098--1105},
}

@article{shor_scheme_1995,
	title = {Scheme for reducing decoherence in quantum computer memory},
	volume = {52},
	copyright = {http://link.aps.org/licenses/aps-default-license},
	issn = {1050-2947, 1094-1622},
	doi = {10.1103/PhysRevA.52.R2493},
	language = {en},
	number = {4},
	journal = {Physical Review A},
	author = {Shor, Peter W.},
	month = oct,
	year = {1995},
	pages = {R2493--R2496},
}

@article{terhal_quantum_2015,
	title = {Quantum {Error} {Correction} for {Quantum} {Memories}},
	volume = {87},
	issn = {0034-6861, 1539-0756},
	doi = {10.1103/RevModPhys.87.307},
	number = {2},
	journal = {Reviews of Modern Physics},
	author = {Terhal, Barbara M.},
	month = apr,
	year = {2015},
	pages = {307--346},
}

@inproceedings{wohlin_guidelines_2014,
	address = {New York, NY, USA},
	series = {{EASE} '14},
	title = {Guidelines for snowballing in systematic literature studies and a replication in software engineering},
	isbn = {978-1-4503-2476-2},
	doi = {10.1145/2601248.2601268},
	booktitle = {Proceedings of the 18th {International} {Conference} on {Evaluation} and {Assessment} in {Software} {Engineering}},
	publisher = {Association for Computing Machinery},
	author = {Wohlin, Claes},
	month = may,
	year = {2014},
	pages = {1--10},
}

@article{keshav_how_2007,
	title = {How to read a paper},
	volume = {37},
	issn = {0146-4833},
	doi = {10.1145/1273445.1273458},
	number = {3},
	journal = {SIGCOMM Comput. Commun. Rev.},
	author = {Keshav, S.},
	month = jul,
	year = {2007},
	pages = {83--84},
}

@article{blume-kohout_estimating_2025,
	title = {Estimating detector error models from syndrome data},
	doi = {10.48550/arXiv.2504.14643},
	publisher = {arXiv},
	author = {Blume-Kohout, Robin and Young, Kevin},
	month = apr,
	year = {2025},
}

@inproceedings{chatterjee_quantum_2023,
	title = {Quantum {Error} {Correction} {For} {Dummies}},
	volume = {01},
	doi = {10.1109/QCE57702.2023.00017},
	booktitle = {2023 {IEEE} {International} {Conference} on {Quantum} {Computing} and {Engineering} ({QCE})},
	author = {Chatterjee, Avimita and Phalak, Koustubh and Ghosh, Swaroop},
	month = sep,
	year = {2023},
	pages = {70--81},
}

@inproceedings{petersen_systematic_2008,
	title = {Systematic {Mapping} {Studies} in {Software} {Engineering}},
	doi = {10.14236/ewic/EASE2008.8},
	language = {en},
	publisher = {BCS Learning \& Development},
	author = {Petersen, Kai and Feldt, Robert and Mujtaba, Shahid and Mattsson, Michael},
	month = jun,
	year = {2008},
}

@article{postler_demonstration_2024,
	title = {Demonstration of {Fault}-{Tolerant} {Steane} {Quantum} {Error} {Correction}},
	volume = {5},
	doi = {10.1103/PRXQuantum.5.030326},
	number = {3},
	journal = {PRX Quantum},
	publisher = {American Physical Society},
	author = {Postler, Lukas and Butt, Friederike and Pogorelov, Ivan and Marciniak, Christian D. and Heußen, Sascha and Blatt, Rainer and Schindler, Philipp and Rispler, Manuel and Müller, Markus and Monz, Thomas},
	month = aug,
	year = {2024},
	pages = {030326},
}

@article{cao_exact_2025,
	title = {Exact {Decoding} of {Quantum} {Error}-{Correcting} {Codes}},
	volume = {134},
	doi = {10.1103/PhysRevLett.134.190603},
	number = {19},
	journal = {Physical Review Letters},
	publisher = {American Physical Society},
	author = {Cao, Hanyan and Zhao, Shoukuan and Feng, Dongyang and Shen, Zisong and Yan, Haisheng and Su, Tang and Sun, Weijie and Xu, Huikai and Pan, Feng and Yu, Haifeng and Zhang, Pan},
	month = may,
	year = {2025},
	pages = {190603},
}

@misc{beni_tesseract_2025,
	title = {Tesseract: {A} {Search}-{Based} {Decoder} for {Quantum} {Error} {Correction}},
	shorttitle = {Tesseract},
	doi = {10.48550/arXiv.2503.10988},
	publisher = {arXiv},
	author = {Beni, Laleh Aghababaie and Higgott, Oscar and Shutty, Noah},
	month = aug,
	year = {2025},
}

@article{bausch_learning_2024,
	title = {Learning high-accuracy error decoding for quantum processors},
	volume = {635},
	copyright = {2024 The Author(s)},
	issn = {1476-4687},
	doi = {10.1038/s41586-024-08148-8},
	language = {en},
	number = {8040},
	journal = {Nature},
	publisher = {Nature Publishing Group},
	author = {Bausch, Johannes and Senior, Andrew W. and Heras, Francisco J. H. and Edlich, Thomas and Davies, Alex and Newman, Michael and Jones, Cody and Satzinger, Kevin and Niu, Murphy Yuezhen and Blackwell, Sam and Holland, George and Kafri, Dvir and Atalaya, Juan and Gidney, Craig and Hassabis, Demis and Boixo, Sergio and Neven, Hartmut and Kohli, Pushmeet},
	month = nov,
	year = {2024},
	pages = {834--840},
}

@misc{bhardwaj_adaptive_2025,
	title = {Adaptive {Estimation} of {Drifting} {Noise} in {Quantum} {Error} {Correction}},
	doi = {10.48550/arXiv.2511.09491},
	publisher = {arXiv},
	author = {Bhardwaj, Devansh and Takou, Evangelia and Lin, Yingjia and Brown, Kenneth R.},
	month = nov,
	year = {2025},
}

@article{roffe_decoding_2020,
	title = {Decoding across the quantum low-density parity-check code landscape},
	volume = {2},
	doi = {10.1103/PhysRevResearch.2.043423},
	number = {4},
	journal = {Physical Review Research},
	publisher = {American Physical Society},
	author = {Roffe, Joschka and White, David R. and Burton, Simon and Campbell, Earl},
	month = dec,
	year = {2020},
	pages = {043423},
}

@article{marton_optimal_2025,
	title = {Optimal number of stabilizer measurement rounds in an idling surface code patch},
	volume = {9},
	doi = {10.22331/q-2025-06-12-1767},
	language = {en-GB},
	journal = {Quantum},
	publisher = {Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften},
	author = {Márton, Áron and Asbóth, János K.},
	month = jun,
	year = {2025},
	pages = {1767},
}

@article{bausch_learning_2024-1,
	title = {Learning to {Decode} the {Surface} {Code} with a {Recurrent}, {Transformer}-{Based} {Neural} {Network}},
	volume = {635},
	issn = {0028-0836, 1476-4687},
	doi = {10.1038/s41586-024-08148-8},
	number = {8040},
	journal = {Nature},
	author = {Bausch, Johannes and Senior, Andrew W. and Heras, Francisco J. H. and Edlich, Thomas and Davies, Alex and Newman, Michael and Jones, Cody and Satzinger, Kevin and Niu, Murphy Yuezhen and Blackwell, Sam and Holland, George and Kafri, Dvir and Atalaya, Juan and Gidney, Craig and Hassabis, Demis and Boixo, Sergio and Neven, Hartmut and Kohli, Pushmeet},
	month = nov,
	year = {2024},
	pages = {834--840},
}

@misc{lin_abelian_2025,
	title = {Abelian multi-cycle codes for single-shot error correction},
	doi = {10.48550/arXiv.2506.16910},
	publisher = {arXiv},
	author = {Lin, Hsiang-Ku and Lim, Pak Kau and Kovalev, Alexey A. and Pryadko, Leonid P.},
	month = aug,
	year = {2025},
}

@misc{fan_accelerating_2025,
	title = {Accelerating {BP}-{OSD} {Decoder} for {QLDPC} {Codes} with {Local} {Syndrome}-{Based} {Preprocessing}},
	doi = {10.48550/arXiv.2509.01892},
	publisher = {arXiv},
	author = {Fan, Wenxuan and Suzuki, Yasunari and Ravi, Gokul Subramanian and Ueno, Yosuke and Inoue, Koji and Tanimoto, Teruo},
	month = sep,
	year = {2025},
}

@misc{senior_scalable_2025,
	title = {A scalable and real-time neural decoder for topological quantum codes},
	doi = {10.48550/arXiv.2512.07737},
	publisher = {arXiv},
	author = {Senior, Andrew W. and Edlich, Thomas and Heras, Francisco J. H. and Zhang, Lei M. and Higgott, Oscar and Spencer, James S. and Applebaum, Taylor and Blackwell, Sam and Ledford, Justin and Žemgulytė, Akvilė and Žídek, Augustin and Shutty, Noah and Cowie, Andrew and Li, Yin and Holland, George and Brooks, Peter and Beattie, Charlie and Newman, Michael and Davies, Alex and Jones, Cody and Boixo, Sergio and Neven, Hartmut and Kohli, Pushmeet and Bausch, Johannes},
	month = dec,
	year = {2025},
}

@misc{wang_fully_2025,
	title = {Fully {Parallelized} {BP} {Decoding} for {Quantum} {LDPC} {Codes} {Can} {Outperform} {BP}-{OSD}},
	language = {en},
	author = {Wang, Ming and Li, Ang and Mueller, Frank},
	month = jun,
	year = {2025},
}

@misc{ye_beam_2025,
	title = {Beam search decoder for quantum {LDPC} codes},
	language = {en},
	author = {Ye, Min and Wecker, Dave and Delfosse, Nicolas},
	month = dec,
	year = {2025},
}

@misc{hillmann_localized_2024,
	title = {Localized statistics decoding for quantum low-density parity-check codes},
	doi = {10.1038/s41467-025-63214-7},
	language = {en},
	author = {Hillmann, Timo and Berent, Lucas and Quintavalle, Armanda O. and Eisert, Jens and Wille, Robert and Roffe, Joschka},
	month = jun,
	year = {2024},
}

@misc{iolius_almost-linear_2024,
	title = {An almost-linear time decoding algorithm for quantum {LDPC} codes under circuit-level noise},
	language = {en},
	author = {iOlius, Antonio deMarti and Martinez, Imanol Etxezarreta and Roffe, Joschka and Martinez, Josu Etxezarreta},
	month = sep,
	year = {2024},
}

@article{higgott_improved_2023,
	title = {Improved {Decoding} of {Circuit} {Noise} and {Fragile} {Boundaries} of {Tailored} {Surface} {Codes}},
	volume = {13},
	doi = {10.1103/PhysRevX.13.031007},
	number = {3},
	journal = {Physical Review X},
	publisher = {American Physical Society},
	author = {Higgott, Oscar and Bohdanowicz, Thomas C. and Kubica, Aleksander and Flammia, Steven T. and Campbell, Earl T.},
	month = jul,
	year = {2023},
	pages = {031007},
}

@misc{tsubouchi_degeneracy_2025,
	title = {Degeneracy {Cutting}: {A} {Local} and {Efficient} {Post}-{Processing} for {Belief} {Propagation} {Decoding} of {Quantum} {Low}-{Density} {Parity}-{Check} {Codes}},
	shorttitle = {Degeneracy {Cutting}},
	doi = {10.48550/arXiv.2510.08695},
	publisher = {arXiv},
	author = {Tsubouchi, Kento and Yamasaki, Hayata and Tamiya, Shiro},
	month = oct,
	year = {2025},
}

@misc{lee_scalable_2025,
	title = {Scalable {Neural} {Decoders} for {Practical} {Real}-{Time} {Quantum} {Error} {Correction}},
	doi = {10.48550/arXiv.2510.22724},
	publisher = {arXiv},
	author = {Lee, Changwon and Hur, Tak and Park, Daniel K.},
	month = oct,
	year = {2025},
}

@misc{maan_decoding_2025,
	title = {Decoding {Correlated} {Errors} in {Quantum} {LDPC} {Codes}},
	doi = {10.48550/arXiv.2510.14060},
	publisher = {arXiv},
	author = {Maan, Arshpreet Singh and Herrero, Francisco-Garcia and Paler, Alexandru and Savin, Valentin},
	month = oct,
	year = {2025},
}

@article{skoric_parallel_2023,
	title = {Parallel window decoding enables scalable fault tolerant quantum computation},
	volume = {14},
	copyright = {2023 The Author(s)},
	issn = {2041-1723},
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@misc{gidney_new_2023,
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@article{chamberland_flag_2018,
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