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Journal articles on the topic 'Coding theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Stine, Robert A. "Coding theory." Wiley Interdisciplinary Reviews: Computational Statistics 1, no. 3 (2009): 261–70. http://dx.doi.org/10.1002/wics.42.

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2

Greferath, Marcus, Camilla Hollanti, and Joachim Rosenthal. "Contemporary Coding Theory." Oberwolfach Reports 16, no. 1 (2020): 773–840. http://dx.doi.org/10.4171/owr/2019/13.

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3

van Lint, J. H. "Coding theory introduction." IEEE Transactions on Information Theory 34, no. 5 (1988): 1274–75. http://dx.doi.org/10.1109/tit.1988.8862503.

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4

SAKATA, Shojiro. "Algebraic Coding Theory." IEICE ESS Fundamentals Review 1, no. 3 (2008): 3_44–3_57. http://dx.doi.org/10.1587/essfr.1.3_44.

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5

Ohashi, Masayoshi, and Toshio Mizuno. "Introduction to Coding Theory(15); Application of Coding Theory Satellite Communication." Journal of the Institute of Television Engineers of Japan 45, no. 10 (1991): 1291–96. http://dx.doi.org/10.3169/itej1978.45.1291.

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6

Baylis, John, D. G. Hoffman, D. A. Leonard, et al. "Coding Theory: The Essentials." Mathematical Gazette 77, no. 480 (1993): 381. http://dx.doi.org/10.2307/3619794.

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7

Anderson, Ian, and J. H. van Lint. "Introduction to Coding Theory." Mathematical Gazette 77, no. 480 (1993): 383. http://dx.doi.org/10.2307/3619795.

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8

Baylis, John, Gareth A. Jones, and J. Mary Jones. "Information and Coding Theory." Mathematical Gazette 85, no. 503 (2001): 377. http://dx.doi.org/10.2307/3622076.

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9

Dawy, Zaher, Pavol Hanus, Johanna Weindl, Janis Dingel, and Faruck Morcos. "On genomic coding theory." European Transactions on Telecommunications 18, no. 8 (2007): 873–79. http://dx.doi.org/10.1002/ett.1201.

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10

Saito, Minoru. "Introduction to Coding Theory: (14) Application of Coding Theory to Computer Technology." Journal of the Institute of Television Engineers of Japan 45, no. 9 (1991): 1089–94. http://dx.doi.org/10.3169/itej1978.45.1089.

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11

Tanaka, Kunimaro. "Introduction to Coding Theory (14);Application of Coding Theory to Digital Audio." Journal of the Institute of Television Engineers of Japan 45, no. 7 (1991): 837–44. http://dx.doi.org/10.3169/itej1978.45.837.

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12

Yamada, Osamu. "Introduction to Coding Theory; (13) Applications of Coding Theory to Broadcasting Technology." Journal of the Institute of Television Engineers of Japan 45, no. 8 (1991): 970–80. http://dx.doi.org/10.3169/itej1978.45.970.

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13

SURER, PAUL. "Coding of substitution dynamical systems as shifts of finite type." Ergodic Theory and Dynamical Systems 36, no. 3 (2014): 944–72. http://dx.doi.org/10.1017/etds.2014.80.

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We develop a theory that allows us to code dynamical systems induced by primitive substitutions continuously as shifts of finite type in many different ways. The well-known prefix–suffix coding turns out to correspond to one special case. We precisely analyse the basic properties of these codings (injectivity, coding of the periodic points, properties of the presentation graph, interaction with the shift map). A lot of examples illustrate the theory and show that, depending on the particular coding, several amazing effects may occur. The results give new insights into the theory of substitutio

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14

Yeung, Raymond W., Shuo-Yen Robert Li, Ning Cai, and Zhen Zhang. "Network Coding Theory: Single Sources." Foundations and Trends® in Communications and Information Theory 2, no. 4 (2005): 241–329. http://dx.doi.org/10.1561/0100000007i.

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15

Ball, Taylor, Eduardo Camps, Henry Chimal-Dzul, et al. "Coding theory package for Macaulay2." Journal of Software for Algebra and Geometry 11, no. 1 (2021): 113–22. http://dx.doi.org/10.2140/jsag.2021.11.113.

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16

Raigorodskii, A. M. "Combinatorial Geometry and Coding Theory*." Fundamenta Informaticae 145, no. 3 (2016): 359–69. http://dx.doi.org/10.3233/fi-2016-1365.

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17

MATSUI, Hajime. "Algebraic Methods in Coding Theory." IEICE ESS Fundamentals Review 8, no. 3 (2015): 151–61. http://dx.doi.org/10.1587/essfr.8.151.

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18

Delsarte, P., and V. I. Levenshtein. "Association schemes and coding theory." IEEE Transactions on Information Theory 44, no. 6 (1998): 2477–504. http://dx.doi.org/10.1109/18.720545.

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19

Savari, S. A. "Renewal theory and source coding." Proceedings of the IEEE 88, no. 11 (2000): 1692–702. http://dx.doi.org/10.1109/5.892705.

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20

Ginosar, Yuval, and Aviram Rochas Moreno. "Crossed Products and Coding Theory." IEEE Transactions on Information Theory 65, no. 10 (2019): 6224–33. http://dx.doi.org/10.1109/tit.2019.2923652.

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21

Ning Cai and T. Chan. "Theory of Secure Network Coding." Proceedings of the IEEE 99, no. 3 (2011): 421–37. http://dx.doi.org/10.1109/jproc.2010.2094592.

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22

Dougherty, R., C. Freiling, and K. Zeger. "Network Coding and Matroid Theory." Proceedings of the IEEE 99, no. 3 (2011): 388–405. http://dx.doi.org/10.1109/jproc.2010.2095490.

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23

Maruta, Tatsuya, Isao Kikumasa, and Hitoshi Kaneta. "Singleton arrays in coding theory." Bulletin of the Australian Mathematical Society 37, no. 3 (1988): 333–35. http://dx.doi.org/10.1017/s0004972700026940.

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24

Aarts, Emile H. L., and Peter J. M. van Laarhoven. "Local search in coding theory." Discrete Mathematics 106-107 (September 1992): 11–18. http://dx.doi.org/10.1016/0012-365x(92)90524-j.

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25

Yeung, Raymond W. "Network coding theory: An introduction." Frontiers of Electrical and Electronic Engineering in China 5, no. 3 (2010): 363–90. http://dx.doi.org/10.1007/s11460-010-0103-1.

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26

Etzion, T., and L. Storme. "Galois geometries and coding theory." Designs, Codes and Cryptography 78, no. 1 (2015): 311–50. http://dx.doi.org/10.1007/s10623-015-0156-5.

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27

Blake, Ian F. "A perspective on coding theory." Information Sciences 57-58 (September 1991): 111–18. http://dx.doi.org/10.1016/0020-0255(91)90070-b.

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28

Clark, James M., and Allan Paivio. "Dual coding theory and education." Educational Psychology Review 3, no. 3 (1991): 149–210. http://dx.doi.org/10.1007/bf01320076.

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29

Borst, Alexander, and Frédéric E. Theunissen. "Information theory and neural coding." Nature Neuroscience 2, no. 11 (1999): 947–57. http://dx.doi.org/10.1038/14731.

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30

Bassoli, Riccardo, Hugo Marques, Jonathan Rodriguez, Kenneth W. Shum, and Rahim Tafazolli. "Network Coding Theory: A Survey." IEEE Communications Surveys & Tutorials 15, no. 4 (2013): 1950–78. http://dx.doi.org/10.1109/surv.2013.013013.00104.

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31

Guerreiro, Marinês. "Group algebras and coding theory." São Paulo Journal of Mathematical Sciences 10, no. 2 (2016): 346–71. http://dx.doi.org/10.1007/s40863-016-0040-x.

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32

Shen, Tao. "Grounded Theory Coding Quality Assurance Methods." Methodology Insight 1, no. 1 (2025): 1–15. https://doi.org/10.71290/mi01010001.

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With the widespread application of qualitative research methods in social sciences, grounded theory, as one of the core methods, has coding quality that directly affects the validity and credibility of the theory. The article first elaborates on the connotations and evaluation dimensions of coding quality, pointing out that high-quality coding should meet the requirements of grounded theory in both the process and result dimensions. The main challenges faced in the coding process are the subjectivity of researchers, the complexity of qualitative data, and the lack of unified coding standards.

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33

Alon, Noga, and Andy Liu. "An Application of Set Theory to Coding Theory." Mathematics Magazine 62, no. 4 (1989): 233. http://dx.doi.org/10.2307/2689761.

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34

Alon, Noca, and Andy Liu. "An Application of Set Theory to Coding Theory." Mathematics Magazine 62, no. 4 (1989): 233–37. http://dx.doi.org/10.1080/0025570x.1989.11977444.

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35

Yan, Shan Jun. "Study on Shannon Source-Coding Theory." Applied Mechanics and Materials 687-691 (November 2014): 4158–62. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.4158.

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This pape analyzed the essence of Shannon source coding theory, and put forward the concept of utilization rate of source symbols, then by using this concept a new description for lossless source coding theory of Shannon was gave, from a new perspective the essence of Shannon source coding theory was identified.

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36

Bordbar, Hashem. "Computational Algebra, Coding Theory, and Cryptography: Theory and Applications." Axioms 13, no. 11 (2024): 784. http://dx.doi.org/10.3390/axioms13110784.

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37

Rebelatto, João Luiz, Bartolomeu F. Uchoa-Filho, Yonghui Li, and Branka Vucetic. "Multiuser Cooperative Diversity Through Network Coding Based on Classical Coding Theory." IEEE Transactions on Signal Processing 60, no. 2 (2012): 916–26. http://dx.doi.org/10.1109/tsp.2011.2174787.

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38

Konopka, Andrzej K. "Theory of degenerate coding and informational parameters of protein coding genes." Biochimie 67, no. 5 (1985): 455–68. http://dx.doi.org/10.1016/s0300-9084(85)80264-9.

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39

Imai, Hideki. "Technical Guide. Introduction to Coding Theory (End); Future Trend of Coding." Journal of the Institute of Television Engineers of Japan 45, no. 11 (1991): 1423–31. http://dx.doi.org/10.3169/itej1978.45.1423.

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40

Mimura, Kazushi. "Theory of Neural Networks and Coding." Brain & Neural Networks 13, no. 1 (2006): 19–27. http://dx.doi.org/10.3902/jnns.13.19.

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41

Hamming, Richard, and Raymond Hill. "A First Course in Coding Theory." American Mathematical Monthly 95, no. 8 (1988): 786. http://dx.doi.org/10.2307/2322277.

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42

Crilly, Tony, and Raymond Hill. "A First Course in Coding Theory." Mathematical Gazette 72, no. 459 (1988): 72. http://dx.doi.org/10.2307/3618021.

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43

Prasad, Bandhu. "Coding theory based on balancing polynomials." Control and Cybernetics 50, no. 2 (2021): 335–46. http://dx.doi.org/10.2478/candc-2021-0017.

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Abstract In this paper, we introduce a Q 2 n ( x ) Q_2^n\left( x \right) matrix, whose elements are balancing polynomials, and develop a new coding and decoding method following from the Q 2 n ( x ) Q_2^n\left( x \right) matrix. We establish the relations between the code matrix elements, error detection and correction for this coding theory.

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44

Baylis, John, D. R. Hankerson, D. G. Hoffman, et al. "Coding Theory and Cryptography: The Essentials." Mathematical Gazette 85, no. 504 (2001): 561. http://dx.doi.org/10.2307/3621814.

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45

., Ayten Ozkan, and E. Mehmet Ozkan . "A Different Approach to Coding Theory." Journal of Applied Sciences 2, no. 11 (2002): 1032–33. http://dx.doi.org/10.3923/jas.2002.1032.1033.

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46

Gassner, Niklas, Marcus Greferath, Joachim Rosenthal, and Violetta Weger. "Bounds for Coding Theory over Rings." Entropy 24, no. 10 (2022): 1473. http://dx.doi.org/10.3390/e24101473.

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Coding theory where the alphabet is identified with the elements of a ring or a module has become an important research topic over the last 30 years. It has been well established that, with the generalization of the algebraic structure to rings, there is a need to also generalize the underlying metric beyond the usual Hamming weight used in traditional coding theory over finite fields. This paper introduces a generalization of the weight introduced by Shi, Wu and Krotov, called overweight. Additionally, this weight can be seen as a generalization of the Lee weight on the integers modulo 4 and

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47

Kashyap, Anil Kumar. "Planar Near-Rings And Coding Theory." IOSR Journal of Mathematics 4, no. 6 (2013): 77–80. http://dx.doi.org/10.9790/5728-0467780.

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48

Haikin, Marina, Matan Gavish, Dustin G. Mixon, and Ram Zamir. "Asymptotic Frame Theory for Analog Coding." Foundations and Trends® in Communications and Information Theory 18, no. 4 (2021): 526–645. http://dx.doi.org/10.1561/0100000125.

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49

Xin Zhang, Jun Chen, S. B. Wicker, and T. Berger. "Successive Coding in Multiuser Information Theory." IEEE Transactions on Information Theory 53, no. 6 (2007): 2246–54. http://dx.doi.org/10.1109/tit.2007.896857.

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50

Cohen, G. D., S. Litsyn, and C. Zemor. "On greedy algorithms in coding theory." IEEE Transactions on Information Theory 42, no. 6 (1996): 2053–57. http://dx.doi.org/10.1109/18.556707.

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