Relevant bibliographies by topics / Error-correcting codes (Information theory) Coding theory

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Error-correcting codes (Information theory) Coding theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 28 January 2023

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Journal articles on the topic "Error-correcting codes (Information theory) Coding theory"

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Curto, Carina, Vladimir Itskov, Katherine Morrison, Zachary Roth, and Judy L. Walker. "Combinatorial Neural Codes from a Mathematical Coding Theory Perspective." Neural Computation 25, no. 7 (2013): 1891–925. http://dx.doi.org/10.1162/neco_a_00459.

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Shannon's seminal 1948 work gave rise to two distinct areas of research: information theory and mathematical coding theory. While information theory has had a strong influence on theoretical neuroscience, ideas from mathematical coding theory have received considerably less attention. Here we take a new look at combinatorial neural codes from a mathematical coding theory perspective, examining the error correction capabilities of familiar receptive field codes (RF codes). We find, perhaps surprisingly, that the high levels of redundancy present in these codes do not support accurate error corr
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Kuznetsov, Alexandr, Oleg Oleshko, and Kateryna Kuznetsova. "ENERGY GAIN FROM ERROR-CORRECTING CODING IN CHANNELS WITH GROUPING ERRORS." Acta Polytechnica 60, no. 1 (2020): 65–72. http://dx.doi.org/10.14311/ap.2020.60.0065.

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Abstract. This article explores the a mathematical model of the a data transmission channel with errors grouping. We propose an estimating method for energy gain from coding and energy efficiency of binary codes in channels with grouped errors. The proposed method uses a simplified Bennet and Froelich’s model and allows leading the research of the energy gain from coding for a wide class of data channels without restricting the way of the length distributing the error bursts. The reliability of the obtained results is confirmed by the information of the known results in the theory of error-cor
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Maltiyar, Kaveri, and Deepti Malviya. "Polar Code: An Advanced Encoding And Decoding Architecture For Next Generation 5G Applications." International Journal on Recent and Innovation Trends in Computing and Communication 7, no. 5 (2019): 26–29. http://dx.doi.org/10.17762/ijritcc.v7i5.5307.

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Polar Codes become a new channel coding, which will be common to apply for next-generation wireless communication systems. Polar codes, introduced by Arikan, achieves the capacity of symmetric channels with “low encoding and decoding complexity” for a large class of underlying channels. Recently, polar code has become the most favorable error correcting code in the viewpoint of information theory due to its property of channel achieving capacity. Polar code achieves the capacity of the class of symmetric binary memory less channels. In this paper review of polar code, an advanced encoding and
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Semerenko, Vasyl, and Oleksandr Voinalovich. "The simplification of computationals in error correction coding." Technology audit and production reserves 3, no. 2(59) (2021): 24–28. http://dx.doi.org/10.15587/2706-5448.2021.233656.

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The object of research is the processes of error correction transformation of information in automated systems. The research is aimed at reducing the complexity of decoding cyclic codes by combining modern mathematical models and practical tools. The main prerequisite for the complication of computations in deterministic linear error-correcting codes is the use of the algebraic representation as the main mathematical apparatus for these types of codes. Despite the universalism of the algebraic approach, its main drawback is the impossibility of taking into account the characteristic features o
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Weaver, Nik. "Quantum Graphs as Quantum Relations." Journal of Geometric Analysis 31, no. 9 (2021): 9090–112. http://dx.doi.org/10.1007/s12220-020-00578-w.

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AbstractThe “noncommutative graphs” which arise in quantum error correction are a special case of the quantum relations introduced in Weaver (Quantum relations. Mem Am Math Soc 215(v–vi):81–140, 2012). We use this perspective to interpret the Knill–Laflamme error-correction conditions (Knill and Laflamme in Theory of quantum error-correcting codes. Phys Rev A 55:900-911, 1997) in terms of graph-theoretic independence, to give intrinsic characterizations of Stahlke’s noncommutative graph homomorphisms (Stahlke in Quantum zero-error source-channel coding and non-commutative graph theory. IEEE Tr
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Arora, H. D., and Anjali Dhiman. "Comparative Study of Generalized Quantitative-Qualitative Inaccuracy Fuzzy Measures for Noiseless Coding Theorem and 1:1 Codes." International Journal of Mathematics and Mathematical Sciences 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/258675.

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In coding theory, we study various properties of codes for application in data compression, cryptography, error correction, and network coding. The study of codes is introduced in Information Theory, electrical engineering, mathematics, and computer sciences for the transmission of data through reliable and efficient methods. We have to consider how coding of messages can be done efficiently so that the maximum number of messages can be sent over a noiseless channel in a given time. Thus, the minimum value of mean codeword length subject to a given constraint on codeword lengths has to be foun
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Riznyk, V. V., D. Yu Skrybaylo-Leskiv, V. M. Badz, et al. "COMPARATIVE ANALYSIS OF MONOLITHIC AND CYCLIC NOISE-PROTECTIVE CODES EFFECTIVENESS." Ukrainian Journal of Information Technology 3, no. 1 (2021): 99–105. http://dx.doi.org/10.23939/ujit2021.03.099.

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Comparative analysis of the effectiveness of monolithic and cyclic noise protective codes built on "Ideal Ring Bundles" (IRBs) as the common theoretical basis for synthesis, researches and application of the codes for improving technical indexes of coding systems with respect to performance, reliability, transformation speed, and security has been realized. IRBs are cyclic sequences of positive integers, which form perfect partitions of a finite interval of integers. Sums of connected IRB elements enumerate the natural integers set exactly R-times. The IRB-codes both monolithic and cyclic ones
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Klimo, Martin, Peter Lukáč, and Peter Tarábek. "Deep Neural Networks Classification via Binary Error-Detecting Output Codes." Applied Sciences 11, no. 8 (2021): 3563. http://dx.doi.org/10.3390/app11083563.

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One-hot encoding is the prevalent method used in neural networks to represent multi-class categorical data. Its success stems from its ease of use and interpretability as a probability distribution when accompanied by a softmax activation function. However, one-hot encoding leads to very high dimensional vector representations when the categorical data’s cardinality is high. The Hamming distance in one-hot encoding is equal to two from the coding theory perspective, which does not allow detection or error-correcting capabilities. Binary coding provides more possibilities for encoding categoric
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Taubin, Feliks, and Andrey Trofimov. "Concatenated Coding for Multilevel Flash Memory with Low Error Correction Capabilities in Outer Stage." SPIIRAS Proceedings 18, no. 5 (2019): 1149–81. http://dx.doi.org/10.15622/sp.2019.18.5.1149-1181.

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One of the approaches to organization of error correcting coding for multilevel flash memory is based on concatenated construction, in particular, on multidimensional lattices for inner coding. A characteristic feature of such structures is the dominance of the complexity of the outer decoder in the total decoder complexity. Therefore the concatenated construction with low-complexity outer decoder may be attractive since in practical applications the decoder complexity is the crucial limitation for the usage of the error correction coding.
 We consider a concatenated coding scheme for mul
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Günlü, Onur, and Rafael Schaefer. "An Optimality Summary: Secret Key Agreement with Physical Unclonable Functions." Entropy 23, no. 1 (2020): 16. http://dx.doi.org/10.3390/e23010016.

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We address security and privacy problems for digital devices and biometrics from an information-theoretic optimality perspective to conduct authentication, message encryption/decryption, identification or secure and private computations by using a secret key. A physical unclonable function (PUF) provides local security to digital devices and this review gives the most relevant summary for information theorists, coding theorists, and signal processing community members who are interested in optimal PUF constructions. Low-complexity signal processing methods are applied to simplify information-t
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Dissertations / Theses on the topic "Error-correcting codes (Information theory) Coding theory"

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Nenno, Robert B. "An introduction to the theory of nonlinear error-correcting codes /." Online version of thesis, 1987. http://hdl.handle.net/1850/10350.

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McEwen, Peter A. "Trellis coding for partial response channels /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1999. http://wwwlib.umi.com/cr/ucsd/fullcit?p9968170.

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El, Rifai Ahmed Mahmoud. "Applications of linear block codes to the McEliece cryptosystem." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/16604.

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Shen, Bingxin. "Application of Error Correction Codes in Wireless Sensor Networks." Fogler Library, University of Maine, 2007. http://www.library.umaine.edu/theses/pdf/ShenB2007.pdf.

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Thangaraj, Andrew. "Iterative coding methods for the binary symmetric channel and magnetic recording channel." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/13387.

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Collison, Sean Michael. "Extending the Dorsch decoder for efficient soft decision decoding of linear block codes." Pullman, Wash. : Washington State University, 2009. http://www.dissertations.wsu.edu/Thesis/Spring2009/s_collison_042309.pdf.

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Thesis (M.S. in computer engineering)--Washington State University, May 2009.<br>Title from PDF title page (viewed on May 21, 2009). "School of Electrical Engineering and Computer Science." Includes bibliographical references (p. 64-65).
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Yamazato, Takaya, Iwao Sasase, and Shinsaku Mori. "Interlace Coding System Involving Data Compression Code, Data Encryption Code and Error Correcting Code." IEICE, 1992. http://hdl.handle.net/2237/7844.

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Williams, Deidre D. "Key management for McEliece public-key cryptosystem." Diss., Georgia Institute of Technology, 1994. http://hdl.handle.net/1853/14864.

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Fan, Xiaopeng. "Wyner-ziv coding and error control for video communication /." View abstract or full-text, 2009. http://library.ust.hk/cgi/db/thesis.pl?ECED%202009%20FAN.

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Cao, Lei. "Error resilient image coding and wireless communications /." free to MU campus, to others for purchase, 2002. http://wwwlib.umi.com/cr/mo/fullcit?p3052160.

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Books on the topic "Error-correcting codes (Information theory) Coding theory"

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Error-correcting coding theory. McGraw-Hill, 1989.

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Lance, Perez, ed. Trellis coding. IEEE Press, 1997.

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Guy, Farrell Patrick, ed. Essentials of error-control coding. John Wiley & Sons, 2006.

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1942-, Costello Daniel J., ed. Error control coding: Fundamentals and applications. 2nd ed. Pearson-Prentice Hall, 2004.

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Error-correcting codes: A mathematical introduction. Chapman & Hall, 1998.

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The art of error correcting coding. 2nd ed. John Wiley & Sons, Ltd, 2007.

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The art of error correcting coding. John Wiley & Sons, 2002.

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Morelos-Zaragoza, Robert H. The Art of Error Correcting Coding. John Wiley & Sons, Ltd., 2006.

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Sh, Zigangirov K., IEEE Communications Society, IEEE Information Theory Society, and Vehicular Technology Society, eds. Fundamentals of convolutional coding. Institute of Electrical and Electronics Engineers, 1999.

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Moon, Todd K. Error Correction Coding. John Wiley & Sons, Ltd., 2005.

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Book chapters on the topic "Error-correcting codes (Information theory) Coding theory"

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van Lint, Jacobus H., and Gerard van der Geer. "Error-correcting codes." In Introduction to Coding Theory and Algebraic Geometry. Birkhäuser Basel, 1988. http://dx.doi.org/10.1007/978-3-0348-9286-5_2.

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Hansen, Johan P. "Toric Surfaces and Error-correcting Codes." In Coding Theory, Cryptography and Related Areas. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-57189-3_12.

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Degwekar, Akshay, Kenza Guenda, and T. Aaron Gulliver. "Extending Construction X for Quantum Error-Correcting Codes." In Coding Theory and Applications. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17296-5_14.

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Imai, Hideki. "Multivariate polynomials in coding theory." In Applied Algebra, Algorithmics and Error-Correcting Codes. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/3-540-16767-6_49.

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Laaksonen, Antti, and Patric R. J. Östergård. "New Lower Bounds on Error-Correcting Ternary, Quaternary and Quinary Codes." In Coding Theory and Applications. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66278-7_19.

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Imai, Hideki, and Tsutomu Matsumoto. "Coding theory and its applications in Japan." In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3-540-51082-6_86.

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Assmus, E. F. "The coding theory of finite geometries and designs." In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3-540-51083-4_43.

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Nechaev, Alexander A., and Alexey S. Kuzmin. "Trace-function on a Galois ring in coding theory." In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-63163-1_22.

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Nikityuk, N. M. "Use of the algebraic coding theory in nuclear electronics." In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54195-0_47.

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Guimarães, Dayan Adionel. "Notions of Information Theory and Error-Correcting Codes." In Digital Transmission. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01359-1_8.

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Conference papers on the topic "Error-correcting codes (Information theory) Coding theory"

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Huang, Qin, Shu Lin, and Khaled Abdel-Ghaffar. "Error-correcting codes for flash coding." In 2011 Information Theory and Applications Workshop (ITA). IEEE, 2011. http://dx.doi.org/10.1109/ita.2011.5743580.

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Averbuch, Ran, and Neri Merhav. "Error Exponents of Typical Random Codes of Source-Channel Coding." In 2019 IEEE Information Theory Workshop (ITW). IEEE, 2019. http://dx.doi.org/10.1109/itw44776.2019.8989340.

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Silva, Danilo, and Frank R. Kschischang. "Using Rank-Metric Codes for Error Correction in Random Network Coding." In 2007 IEEE International Symposium on Information Theory. IEEE, 2007. http://dx.doi.org/10.1109/isit.2007.4557322.

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Font-Segura, Josep, Alfonso Martinez, and Albert Guillen i Fabregas. "Asymptotics of the Random Coding Error Probability for Constant-Composition Codes." In 2019 IEEE International Symposium on Information Theory (ISIT). IEEE, 2019. http://dx.doi.org/10.1109/isit.2019.8849274.

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Ginzach, Shai, Neri Merhav, and Igal Sason. "Random-coding error exponent of variable-length codes with a single-bit noiseless feedback." In 2017 IEEE Information Theory Workshop (ITW). IEEE, 2017. http://dx.doi.org/10.1109/itw.2017.8278012.

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Vasic, B., A. Cvetkovic, S. Sankaranarayanan, and M. Marcellin. "Adaptive error protection low-density parity-check codes for joint source-channel coding schemes." In IEEE International Symposium on Information Theory, 2003. Proceedings. IEEE, 2003. http://dx.doi.org/10.1109/isit.2003.1228282.

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Wang, Qiwen, Sidharth Jaggi, and Shuo-Yen Robert Li. "Binary error correcting network codes." In 2011 IEEE Information Theory Workshop (ITW). IEEE, 2011. http://dx.doi.org/10.1109/itw.2011.6089511.

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Roth, Ron M. "Analog Error-Correcting Codes." In 2019 IEEE International Symposium on Information Theory (ISIT). IEEE, 2019. http://dx.doi.org/10.1109/isit.2019.8849843.

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Klove, Torleiv, Bella Bose, and Noha Elarief. "Systematic single limited magnitude asymmetric error correcting codes." In 2010 IEEE Information Theory Workshop on Information Theory (ITW). IEEE, 2010. http://dx.doi.org/10.1109/itwksps.2010.5503196.

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Chi-Kin Ngai and R. W. Yeung. "Secure error-correcting (SEC) network codes." In 2009 Workshop on Network Coding, Theory, and Applications (NetCod). IEEE, 2009. http://dx.doi.org/10.1109/netcod.2009.5191401.

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