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661
A theory of quantum error correction for permutation-invariant codes
Veröffentlicht 2026Inhaltsangabe: “… ) codes. Using representation theory of the symmetric group we construct efficient algorithms that can …”
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662
A High-Performance List Decoding Algorithm for Surface Codes with Erroneous Syndrome
Veröffentlicht 2024Inhaltsangabe: “… of the existing decoding algorithms for surface codes need extra measurements to correct syndromes with errors …”
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663
Decoding Algorithms for Two-dimensional Constacyclic Codes over $\mathbb{F}_q$
Veröffentlicht 2025Inhaltsangabe: “… We derive the spectral domain properties of two-dimensional (2-D) $(λ_1, λ_2)$-constacyclic codes …”
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664
Optimally Decoding Two-Dimensional Reed-Solomon Codes Against Deletion Errors
Veröffentlicht 2024Inhaltsangabe: “… been the focus of several recent studies. However, efficient decoding algorithms for such codes have …”
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665
Deep-Learning-Aided Successive Cancellation List Flip Decoding for Polar Codes
Veröffentlicht 2026Inhaltsangabe: “… on infinite code length. The Successive Cancellation List Flip (SCLF) decoding algorithm was proposed …”
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666
Permutation decoding of first-order Generalized Reed-Muller codes
Veröffentlicht 2025Inhaltsangabe: “… In [4] we describe a variation of the classical permutation decoding algorithm that can be applied …”
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667
DNA digital data storage and retrieval using algebraic codes
Veröffentlicht 2023Inhaltsangabe: “… algorithm. The Varshamov-Tenengolts algorithm corrects single indel errors. Additionally, we construct codes …”
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668
Generalized LDPC codes with low-complexity decoding and fast convergence
Veröffentlicht 2025Inhaltsangabe: “… of Cordaro-Wagner codes. Two efficient decoding algorithms are proposed: one based on Hartmann-Rudolph …”
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669
Fractional decoding of algebraic geometry codes over extension fields
Veröffentlicht 2024Inhaltsangabe: “… projections to provide fractional decoding algorithms for the codes over $\mathbb{F}_{q^\ell}$. Fractional …”
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670
Learning to Decode the Surface Code with a Recurrent, Transformer-Based Neural Network
Veröffentlicht 2023Inhaltsangabe: “… quantum error-correction code. Our decoder outperforms state-of-the-art algorithmic decoders on real-world …”
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671
Non-commutative error correcting codes and proper subgroup testing
Veröffentlicht 2024Inhaltsangabe: “… . By property testing we refer to an ensemble of problems, results and algorithms which enable to deduce global …”
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672
Worst-case optimal adaptive alphabetic prefix-free coding
Veröffentlicht 2021Inhaltsangabe: “… We give the first algorithm for adaptive alphabetic prefix-free coding that is worst-case optimal …”
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673
List Decoding Expander-Based Codes up to Capacity in Near-Linear Time
Veröffentlicht 2025Inhaltsangabe: “… of codes based on spectral expanders. Using existing algorithms for computing regularity decompositions …”
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674
A topology for Engel expansions: evaluation and digit coding maps
Veröffentlicht 2025Inhaltsangabe: “… with the product topology to study the evaluation map, and we fix a nonterminating digit algorithm to study …”
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675
ORCAS Codes: A Flexible Generalization of Polar Codes with Low-Complexity Decoding
Veröffentlicht 2025Inhaltsangabe: “… Motivated by the need for channel codes with low-complexity soft-decision decoding algorithms, we …”
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676
A Comparative Study of Ensemble Decoding Methods for Short Length LDPC Codes
Veröffentlicht 2024Inhaltsangabe: “… parity-check (LDPC) codes, a plethora of improved decoding algorithms has been proposed over the last two …”
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677
A blindness property of the Min-Sum decoding for the toric code
Veröffentlicht 2024Inhaltsangabe: “… theoretical analysis of the toric code under min-sum (MS) decoding, a message-passing decoding algorithm known …”
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678
Batched high-rate logical operations for quantum LDPC codes
Veröffentlicht 2025Inhaltsangabe: “… High-rate quantum LDPC (qLDPC) codes reduce memory overhead by densely packing many logical qubits …”
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679
Optimum 1-Step Majority-Logic Decoding of Binary Reed-Muller Codes
Veröffentlicht 2025Inhaltsangabe: “… The classical majority-logic decoder proposed by Reed for Reed-Muller codes RM(r, m) of order r …”
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680
A coding theoretic study of homogeneous Markovian predictive games
Veröffentlicht 2025Inhaltsangabe: “… coding scheme, inspired by the martingale convergence theorem and algorithmic randomness theory, without …”
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