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Reed–solomon codes over small fields with constrained generator matrices
Published 2020Subjects: Get full text
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2
Blind reconstruction of Reed-Solomon encoder and interleavers over noisy environment
Published 2020“…In this paper, we analyze Reed-Solomon (RS) encoded data stream and propose blind estimation algorithms to identify RS code parameters. …”
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3
Perturbed adaptive belief propagation decoding for high-density parity-check codes
Published 2023Subjects: Get full text
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4
On linear codes whose hermitian hulls are MDS
Published 2024Subjects: Get full text
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5
Focal brain damage protects against post-traumatic stress disorder in combat veterans
Published 2014Get full text
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6
Thermal design optimization of evaporator micropillar wicks
Published 2020Get full text
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7
Automated interpretation of systolic and diastolic function on the echocardiogram: a multicohort study
Published 2023Get full text
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9
Subspace designs based on algebraic function fields
Published 2018“…This construction was based on polynomials and has close connections to folded Reed-Solomon codes, and required large field size (specifically q >= m). …”
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10
Modular idempotents for the descent algebras of type A and higher Lie powers and modules
Published 2023“…They are modular idempotents, higher Lie powers, higher Lie modules and the right ideals of the symmetric group algebras generated by the Solomon's descent elements. More precisely, we give a construction for the modular idempotents, describe the dimension and character for higher Lie powers and study the structures of the higher Lie modules and the right ideals both in the ordinary and modular cases.…”
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11
Polyadic Constacyclic Codes
Published 2015“…As an application, some optimal codes from Type-I polyadic constacyclic codes, including generalized Reed-Solomon codes and alternant MDS codes, are constructed.…”
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12
Blind estimation of code parameters for product codes over noisy channel conditions
Published 2020“…In this paper, novel algorithms are proposed for the blind estimation of two-dimensional product code parameters over the noisy channel conditions considering Reed-Solomon and Bose-Chaudhuri-Hocquenghem as component codes. …”
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13
On the algebraic structure of quasi-cyclic codes III : generator theory
Published 2013“…These latter codes are decomposed by the Chinese Remainder Theorem (CRT), or equivalently the Mattson-Solomon transform, into products of shorter codes over larger alphabets. …”
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14
Repairing algebraic geometry codes
Published 2020“…In this paper, we generalize the repairing algorithm of Reed-Solomon codes given by Guruswami and Wotters to algebraic geometry codes and present a repairing algorithm for arbitrary one-point algebraic geometry codes. …”
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15
List decodability of symbol-pair codes
Published 2020“…Finally, we present a list decoding algorithm of Reed-Solomon codes beyond the Johnson-type bound in the pair metric. 1 A symbol-pair code is referred to a code in the pair metric.…”
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16
Lesson from the past, knowledge for the future: roles of human memories in earthquake and tsunami narratives in Mentawai, Indonesia
Published 2023“…This is slightly different from communities in Simeulue, Solomon, and Andaman Islands whose natives still remember some devastating catastrophes that occurred in the past. …”
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Optimal locally repairable codes of distance 3 and 4 via cyclic codes
Published 2020“…In the breakthrough work of Tamo and Barg, several classes of optimal locally repairable codes were constructed via subcodes of Reed-Solomon codes. Thus, the lengths of the codes given by Tamo and Barg are upper bounded by the code alphabet size q. …”
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