Search results for "parity"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
25	Marcin Jurdzinski, Mike Paterson, Uri Zwick	A deterministic subexponential algorithm for solving parity games.	SODA	2006	DBLP DOI BibTeX RDF
25	Satoshi Gounai, Tomoaki Ohtsuki, Toshinobu Kaneko	Modified Belief Propagation Decoding Algorithm for Low-Density Parity Check Code Based on Oscillation.	VTC Spring	2006	DBLP DOI BibTeX RDF
25	Ronald Y. S. Tee, Fang-Chun Kuo, Lajos Hanzo	Generalized Low-Density Parity-Check Coding Aided Multilevel Codes.	VTC Spring	2006	DBLP DOI BibTeX RDF
25	Nir Piterman	From Nondeterministic Buchi and Streett Automata to Deterministic Parity Automata.	LICS	2006	DBLP DOI BibTeX RDF
25	Gabriella Bosco, Roberto Garello, Francesco Mininni, Marco Baldi, Franco Chiaraluce	Non-Binary Low Density Parity Check Codes for Satellite Communications.	ISCC	2006	DBLP DOI BibTeX RDF
25	Krishnendu Chatterjee, Thomas A. Henzinger	Strategy Improvement and Randomized Subexponential Algorithms for Stochastic Parity Games.	STACS	2006	DBLP DOI BibTeX RDF
25	Fugui Huang, Xiaoxin Yi, Tie Wang	Reliability-Based Selective Repeat Hybrid ARQ Protocol on Low Density Parity Check Codes.	ICAT Workshops	2006	DBLP DOI BibTeX RDF
25	Jun Muramatsu, Tomohiko Uyematsu, Tadashi Wadayama	Low-density parity-check matrices for coding of correlated sources.	IEEE Trans. Inf. Theory	2005	DBLP DOI BibTeX RDF
25	Ilan Sutskover, Shlomo Shamai	Iterative Decoding of Low-Density Parity-Check Codes Over Compound Channels.	IEEE Trans. Commun.	2005	DBLP DOI BibTeX RDF
25	Hae Yong Kim	A new public-key authentication watermarking for binary document images resistant to parity attacks.	ICIP (2)	2005	DBLP DOI BibTeX RDF
25	Narsingh Deo, Sanjeeb Nanda	A Graph Theoretic Algorithm for Placing Data and Parity to Tolerate Two Disk Failures in Disk Array Systems.	IV	2005	DBLP DOI BibTeX RDF
25	Mihai Oltean	Evolving Reversible Circuits for the Even-Parity Problem.	EvoWorkshops	2005	DBLP DOI BibTeX RDF
25	Chih-Shing Tau, Tzone-I Wang	Parity Placement Schemes with Generalized Fault-Tolerant Technique in Disk Array Systems.	ICPADS (2)	2005	DBLP DOI BibTeX RDF
25	Xinpeng Zhang 0001, Shuozhong Wang	Analysis of Parity Assignment Steganography in Palette Images.	KES (3)	2005	DBLP DOI BibTeX RDF
25	Shalini Ghosh, Sugato Basu, Nur A. Touba	Synthesis of Low Power CED Circuits Based on Parity Codes.	VTS	2005	DBLP DOI BibTeX RDF
25	Leslie G. Valiant	Completeness for Parity Problems.	COCOON	2005	DBLP DOI BibTeX RDF
25	Gonzalo Urcid, Gerhard X. Ritter, Laurentiu Iancu	Single Layer Morphological Perceptron Solution to the N-Bit Parity Problem.	CIARP	2004	DBLP DOI BibTeX RDF
25	Avrim Blum, Adam Kalai, Hal Wasserman	Noise-tolerant learning, the parity problem, and the statistical query model.	J. ACM	2003	DBLP DOI BibTeX RDF	machine learning, Computational learning theory, statistical queries
25	Petros Drineas, Yiorgos Makris	Non-Intrusive Concurrent Error Detection in FSMs through State/Output Compaction and Monitoring via Parity Trees.	DATE	2003	DBLP DOI BibTeX RDF
25	Henrik Brosenne, Matthias Homeister, Stephan Waack	Lower Bounds for General Graph-Driven Read-Once Parity Branching Programs.	MFCS	2003	DBLP DOI BibTeX RDF
25	Sobeeh Almukhaizim, Yiorgos Makris	Fault Tolerant Design of Combinational and Sequential Logic Based on a Parity Check Code.	DFT	2003	DBLP DOI BibTeX RDF
25	Eric J. Schwabe, Ian M. Sutherland	Efficient Mappings for Parity-Declustered Data Layouts.	COCOON	2003	DBLP DOI BibTeX RDF
25	András Frank, Zoltán Király	Graph Orientations with Edge-connection and Parity Constraints.	Comb.	2002	DBLP DOI BibTeX RDF	AMS Subject Classification (2000) Classes: 05C75, 05C40
25	Matthias Pflanz, Karsten Walther, Christian Galke, Heinrich Theodor Vierhaus	On-Line Error Detection and Correction in Storage Elements with Cross-Parity Check.	IOLTW	2002	DBLP DOI BibTeX RDF
25	Frederic Green	The Correlation Between Parity and Quadratic Polynomials Mod 3.	CCC	2002	DBLP DOI BibTeX RDF
25	Cláudia Linhares Sales, Frédéric Maffray, Bruce A. Reed	Recognizing Planar Strict Quasi-Parity Graphs.	Graphs Comb.	2001	DBLP DOI BibTeX RDF
25	Mikio Kano, Haruhide Matsuda	Partial Parity (g, f)-Factors and Subgraphs Covering Given Vertex Subsets.	Graphs Comb.	2001	DBLP DOI BibTeX RDF
25	Kousha Etessami, Thomas Wilke, Rebecca A. Schuller	Fair Simulation Relations, Parity Games, and State Space Reduction for Büchi Automata.	ICALP	2001	DBLP DOI BibTeX RDF
25	Dominik Schmitz, Jens Vöge	Implementation of a Strategy Improvement Algorithm for Finite-State Parity Games.	CIAA	2000	DBLP DOI BibTeX RDF
25	Anne Canteaut, Michaël Trabbia	Improved Fast Correlation Attacks Using Parity-Check Equations of Weight 4 and 5.	EUROCRYPT	2000	DBLP DOI BibTeX RDF
25	Marcin Jurdzinski	Small Progress Measures for Solving Parity Games.	STACS	2000	DBLP DOI BibTeX RDF
25	Tony Y. T. Chan	Supervised Classification for the Triple Parity Strings.	AIMSA	2000	DBLP DOI BibTeX RDF	unifying metric approach, stability quotient, stability optimization, supervised learning, transformation systems
25	András Frank, Zoltán Király	Parity Constrained k-Edge-Connected Orientations.	IPCO	1999	DBLP DOI BibTeX RDF
25	Jamel Gafsi, Ernst W. Biersack	Performance and Reliability Study for Distributed Video Servers: Mirroring or Parity?.	ICMCS, Vol. 2	1999	DBLP DOI BibTeX RDF	Video Servers, Reliability Modeling, Distributed Multimedia
25	Tak Wah Lam, Hing-Fung Ting	Selecting the k Largest Elements with Parity Tests.	ISAAC	1998	DBLP DOI BibTeX RDF
25	Ricardo Aler	Immediate Transfer of Global Improvements to All Individuals in a Population Compared to Automatically Defined Functions for the EVEN-5, 6-PARITY Problems.	EuroGP	1998	DBLP DOI BibTeX RDF
25	Michael Nicolaidis, Ricardo de Oliveira Duarte, Salvador Manich, Joan Figueras	Fault-Secure Parity Prediction Arithmetic Operators.	IEEE Des. Test Comput.	1997	DBLP DOI BibTeX RDF
25	Cristiana Bolchini, Fabio Salice, Donatella Sciuto	A novel methodology for designing TSC networks based on the parity bit code.	ED&TC	1997	DBLP DOI BibTeX RDF
25	Hendrik Hartje, Michael Gössel, Egor S. Sogomonyan	Code-Disjoint Circuits for Parity Circuits.	Asian Test Symposium	1997	DBLP DOI BibTeX RDF
25	Cristiana Bolchini, Fabio Salice, Donatella Sciuto	Parity Bit Code: Achieving a Complete Fault Coverage in the Design of TSC Combinational Networks.	Great Lakes Symposium on VLSI	1997	DBLP DOI BibTeX RDF
25	Krishnendu Chakrabarty, John P. Hayes	Test response compaction using multiplexed parity trees.	IEEE Trans. Comput. Aided Des. Integr. Circuits Syst.	1996	DBLP DOI BibTeX RDF
25	Sheldon B. Akers	A parity bit signature for exhaustive testing.	IEEE Trans. Comput. Aided Des. Integr. Circuits Syst.	1988	DBLP DOI BibTeX RDF
22	Yong Ding 0006, Zhiping Huang, Jing Zhou	Blind recognition of sparse parity-check matrices of low-density parity-check codes in the presence of noise.	IET Commun.	2023	DBLP DOI BibTeX RDF
22	Iryna Andriyanova, Charly Poulliat	Analysis of Non-Binary High-Rate Repetition-Parity-Parity Codes Over the BEC.	ISIT	2022	DBLP DOI BibTeX RDF
22	Shanshan Liu 0001, Pedro Reviriego, Fabrizio Lombardi	Detection of Limited Magnitude Errors in Emerging Multilevel Cell Memories by One-Bit Parity (OBP) or Two-Bit Parity (TBP).	IEEE Trans. Emerg. Top. Comput.	2021	DBLP DOI BibTeX RDF
22	Julia Cen, Avadh Saxena	Extended Abstract: Joint Parity-Time and Anti-Parity-Time-symmetric Qubits.	QCE	2021	DBLP DOI BibTeX RDF
22	Vittorio M. N. Passaro, Martino De Carlo, Francesco De Leonardis, Giansergio Menduni, Luciano Lamberti, Anna Gina Perri	Parity-Time and anti-Parity-Time-Symmetry Integrated Optical Gyroscopes: A Perspective for High Performance Devices.	ICTON	2020	DBLP DOI BibTeX RDF
22	Dharmendra Kumar, Chintoo Kumar, Shipra Gautam, Debasis Mitra 0002	Design of Practical Parity Generator and Parity Checker Circuits in QCA.	iNIS	2017	DBLP DOI BibTeX RDF
22	Jadav Chandra Das, Debashis De	Quantum-dot cellular automata based reversible low power parity generator and parity checker design for nanocommunication.	Frontiers Inf. Technol. Electron. Eng.	2016	DBLP DOI BibTeX RDF
22	Véronique Bruyère, Quentin Hautem, Mickael Randour	Window Parity Games: An Alternative Approach Toward Parity Games with Time Bounds (Full Version).	CoRR	2016	DBLP BibTeX RDF
22	Véronique Bruyère, Quentin Hautem, Mickael Randour	Window parity games: an alternative approach toward parity games with time bounds.	GandALF	2016	DBLP DOI BibTeX RDF
22	Michael Huth 0001, Jim Huan-Pu Kuo, Nir Piterman	Static Analysis of Parity Games: Alternating Reachability Under Parity.	Semantics, Logics, and Calculi	2016	DBLP DOI BibTeX RDF
22	Shek F. Yau, Tan L. Wong, Francis Chung-Ming Lau, Yejun He	A fast low-density parity-check code simulator based on compressed parity-check matrices.	Wirel. Commun. Mob. Comput.	2013	DBLP DOI BibTeX RDF
22	Kyung-Joong Kim 0002, Jin-Ho Chung, Kyeongcheol Yang	Bounds on the Size of Parity-Check Matrices for Quasi-Cyclic Low-Density Parity-Check Codes.	IEEE Trans. Inf. Theory	2013	DBLP DOI BibTeX RDF
22	Hsiang-Chun Hsu, Gerard J. Chang	Parity and strong parity edge-colorings of graphs.	J. Comb. Optim.	2012	DBLP DOI BibTeX RDF
22	Patricia Bouyer, Nicolas Markey, Jörg Olschewski, Michael Ummels	Measuring Permissiveness in Parity Games: Mean-Payoff Parity Games Revisited	CoRR	2011	DBLP BibTeX RDF
22	Lei Tian 0001, Qiang Cao 0001, Hong Jiang 0001, Dan Feng 0001, Changsheng Xie, Qin Xin 0003	Online availability upgrades for parity-based RAIDs through supplementary parity augmentations.	ACM Trans. Storage	2011	DBLP DOI BibTeX RDF
22	Patricia Bouyer, Nicolas Markey, Jörg Olschewski, Michael Ummels	Measuring Permissiveness in Parity Games: Mean-Payoff Parity Games Revisited.	ATVA	2011	DBLP DOI BibTeX RDF
22	Krishnendu Chatterjee, Laurent Doyen 0001	Games and Markov Decision Processes with Mean-Payoff Parity and Energy Parity Objectives.	MEMICS	2011	DBLP DOI BibTeX RDF
22	Valentin Gherman, Samuel Evain, Nathaniel Seymour, Yannick Bonhomme	Generalized parity-check matrices for SEC-DED codes with fixed parity.	IOLTS	2011	DBLP DOI BibTeX RDF
22	Ken-ichi Kawarabayashi, Zhentao Li, Bruce A. Reed	Recognizing a Totally Odd K4-subdivision, Parity 2-disjoint Rooted Paths and a Parity Cycle Through Specified Elements.	SODA	2010	DBLP DOI BibTeX RDF
22	Andrew Krioukov, Lakshmi N. Bairavasundaram, Garth R. Goodson, Kiran Srinivasan, Randy Thelen, Andrea C. Arpaci-Dusseau, Remzi H. Arpaci-Dusseau	Parity Lost and Parity Regained.	FAST	2008	DBLP BibTeX RDF
22	Song-Nam Hong, Jaeweon Cho	Rate-Compatible Puncturing for Finite-Length Low-Density Parity-Check Codes with Zigzag Parity Structure.	PIMRC	2006	DBLP DOI BibTeX RDF
22	Arvind Sridharan, Michael Lentmaier, Dmitri V. Truhachev, Daniel J. Costello Jr., Kamil Sh. Zigangirov	On the minimum distance of low-density parity-check codes with parity-check matrices constructed from permutation matrices.	Probl. Inf. Transm.	2005	DBLP DOI BibTeX RDF
22	Eoiyoung Choi, Seung-Bum Suh, Jaehong Kim	Rate-compatible puncturing for low-density parity-check codes with dual-diagonal parity structure.	PIMRC	2005	DBLP DOI BibTeX RDF
22	Emanuele Viola, Dan Gutfreund	Fooling Parity Tests with Parity Gates	Electron. Colloquium Comput. Complex.	2004	DBLP BibTeX RDF
22	Mahmoud Rashidpour, Seyed Hamidreza Jamali	Low-density parity-check codes with simple irregular semi-random parity-check matrix finite-length applications.	PIMRC	2003	DBLP DOI BibTeX RDF
22	Michael Gössel, Egor S. Sogomonyan	Code disjoint self-parity combinational circuits for self-testing, concurrent fault detection and parity scan design.	VTS	1994	DBLP DOI BibTeX RDF
22	Michael Gössel, Egor S. Sogomonyan	Self-parity cominational circuits for self-testing, concurrent fault detection and parity scan design.	VLSI	1993	DBLP BibTeX RDF
22	Branko Radosavljevic, Erdal Arikan, Bruce E. Hajek	Sequential decoding of low-density parity-check codes by adaptive reordering of parity checks.	IEEE Trans. Inf. Theory	1992	DBLP DOI BibTeX RDF
22	Niraj K. Jha	Fault detection in CVS parity trees: application in SSC CVS parity and two-rail checkers.	FTCS	1989	DBLP DOI BibTeX RDF
22	Ryan J. Meuth	Meta-learning genetic programming.	GECCO (Companion)	2010	DBLP DOI BibTeX RDF	even parity, pac-man, genetic programming, memetic algorithms, meta-learning, late breaking abstract
22	Carlos D. Toledo-Suárez	A first assessment of the use of extended relational alphabets in accuracy classifier systems.	GECCO	2010	DBLP DOI BibTeX RDF	parity problem, relational alphabets, relational schemata, st-alphabets, classifier systems
22	Christopher H. Broadbent, C.-H. Luke Ong	On Global Model Checking Trees Generated by Higher-Order Recursion Schemes.	FoSSaCS	2009	DBLP DOI BibTeX RDF	Collapsible Pushdown Automaton, Parity Game, Model Checking, Game Semantics, Recursion Scheme
22	Gabriel Falcão Paiva Fernandes, Vítor Manuel Mendes da Silva, Leonel Sousa	How GPUs can outperform ASICs for fast LDPC decoding.	ICS	2009	DBLP DOI BibTeX RDF	memory coalescence, parallel processing, graphics processing units, multithreading, low-density parity-check codes
22	Michael Lunglmayr, Jens Berkmann, Mario Huemer	Simulation Based Optimization of Vertex Packing Decoding Algorithms.	EUROCAST	2009	DBLP DOI BibTeX RDF	vertex packing, Channel coding, performance simulation, low-density parity-check (LDPC) codes
22	Yevgeniy Dodis, Yael Tauman Kalai, Shachar Lovett	On cryptography with auxiliary input.	STOC	2009	DBLP DOI BibTeX RDF	auxiliary information, encryption schemes, learning parity with noise, error-correcting codes, randomness extractors, code obfuscation
22	Rua-Huan Tsaih, Yat-wah Wan	A Guide for the Upper Bound on the Number of Continuous-Valued Hidden Nodes of a Feed-Forward Network.	ICANN (1)	2009	DBLP DOI BibTeX RDF	single-hidden layer feed-forward neural network, parity problem, Bound, preimage, hidden nodes
22	Gabriel Falcão Paiva Fernandes, Leonel Sousa, Vítor Manuel Mendes da Silva	Massive parallel LDPC decoding on GPU.	PPoPP	2008	DBLP DOI BibTeX RDF	parallel processing, graphics processing unit, computer unified device architecture, ldpc, low-density parity-check codes, cuda
22	Chuang Lin 0001, Jeng-Shyang Pan 0001, Zhe-Ming Lu	A Double Domain Based Robust Digital Image Watermarking Scheme.	Edutainment	2008	DBLP DOI BibTeX RDF	double domain, parity modulation, digital image watermarking
22	Linhua Ma, Yilin Chang, ShengDa Wang	Study on the distribution law of random code structure of irregular LDPC codes and its application in eliminating short cycles.	Sci. China Ser. F Inf. Sci.	2007	DBLP DOI BibTeX RDF	random code structure, random distribution characteristics, cycles, Low-density parity-check codes
22	Chun-Yi Lee, Hung-Mao Lin, Fang-Min Wang, James Chien-Mo Li	Cyclic-CPRS : A Diagnosis Technique for BISTed Circuits for Nano-meter Technologies.	ASP-DAC	2007	DBLP DOI BibTeX RDF	systematic defects, cyclic-column parity row selection technique, built-in self tested circuits, cyclic scan chains, masking circuitry, transient errors, circuit under test, nanometer technologies
22	Michael Lunglmayr, Jens Berkmann	Optimized Mapping Schemes for LDPC Coded Higher Order Modulated QAM Transmission.	EUROCAST	2007	DBLP DOI BibTeX RDF	density evolution, receiver design, optimization, Channel coding, low-density parity-check (LDPC) codes
22	Leszek Aleksander Kolodziejczyk, Neil Thapen	The Polynomial and Linear Hierarchies in V0.	CiE	2007	DBLP DOI BibTeX RDF	prefix parity, linear hierarchy, bounded depth circuits, bounded arithmetic
22	Markus Bläser, Andreas Jakoby, Maciej Liskiewicz, Bodo Manthey	Private Computation: k-Connected versus 1-Connected Networks.	J. Cryptol.	2006	DBLP DOI BibTeX RDF	Connectivity, Randomness, Secure multi-party computation, Secure function evaluation, Parity, Private computation
22	Leonardo Vanneschi, Yuri Pirola, Philippe Collard	A quantitative study of neutrality in GP boolean landscapes.	GECCO	2006	DBLP DOI BibTeX RDF	even parity, genetic programming, fitness landscapes, neutrality
22	Yongmei Dai, Zhiyuan Yan 0001, Ning Chen 0004	Parallel turbo-sum-product decoder architecture for quasi-cyclic LDPC codes.	ACM Great Lakes Symposium on VLSI	2006	DBLP DOI BibTeX RDF	quasi-cyclic (QC) codes, sum-product decoding, turbo decoding, low-density parity-check (LDPC) codes
22	Noriaki Kouda, Nobuyuki Matsui, Haruhiko Nishimura, Ferdinand Peper	Qubit neural network and its learning efficiency.	Neural Comput. Appl.	2005	DBLP DOI BibTeX RDF	Neural network, Learning, Quantum computing, Back-propagation, Qubit, Parity check
22	Cung Nguyen, G. Robert Redinbo	Fault Tolerance Design in JPEG 2000 Image Compression System.	IEEE Trans. Dependable Secur. Comput.	2005	DBLP DOI BibTeX RDF	Fault-tolerant source coding, JPEG 2000 standard, hardware reliability, weighted sum parity, data compression, Discrete Wavelet Transform (DWT), Soft errors, concurrent error detection, Huffman coding, error control codes, algorithm-based fault tolerance, error-checking
22	M. Collins	Finding needles in haystacks is harder with neutrality.	GECCO	2005	DBLP DOI BibTeX RDF	reduced boolean parity, search space, cartesian genetic programming
22	Jianwei Wen, Qionghai Dai, Yihui Jin	Channel-adaptive hybrid ARQ/FEC for robust video transmission over 3G.	ICME	2005	DBLP DOI BibTeX RDF	parity data length, automatic retransmission request, channel-adaptive hybrid ARQ-FEC, time-varying wireless channel, encoder, forward error correction, video transmission, 3G network
22	Walter Dosch	Designing Combinational Circuits with List Homomorphisms.	SERA	2005	DBLP DOI BibTeX RDF	functional hardware description, list homomorphism, iterative network, parity generator, priority resolution, High-level synthesis, comparator, tree network
22	Saied Hemati, Amir H. Banihashemi	Iterative decoding in analog CMOS.	ACM Great Lakes Symposium on VLSI	2003	DBLP DOI BibTeX RDF	analog CMOS, analog iterative decoder, asynchronous iterative decoding, min-sum decoding, soft decoding, analog circuit, turbo codes, iterative decoding, low-density parity-check codes
22	G. Robert Redinbo	Concurrent Error Detection in Fast Unitary Transform Algorithms.	DSN	2001	DBLP DOI BibTeX RDF	numerical error detection, real number parity values, fast discrete cosine transform, fast Fourier transform, Algorithm-based fault tolerance
22	Yasuyuki Mimatsu, Haruo Yokota	A performance comparison between the DR-net and a hierarchical RAID system.	PRDC	2000	DBLP DOI BibTeX RDF	disc drives, DR-net, hierarchical RAID system, disk array systems, multiple disk drives, centralized controller, communication path, controller functions, bus setup time, parity calculation load, performance evaluation, scalability, digital simulation, system performance, RAID, performance comparison, scalable architecture, hierarchical system
22	Sebastian T. J. Fenn, Michael Gössel, Mohammed Benaissa, David Taylor	On-Line Error Detection for Bit-Serial Multipliers in GF(2m).	J. Electron. Test.	1998	DBLP DOI BibTeX RDF	finite fields, multipliers, parity checking, on-line error detection
22	Jae-dong Lee, Kyung-Hee Kwon, Young-Beom Park	Minimizing communication in bitonic sorting software.	ICPADS	1997	DBLP DOI BibTeX RDF	bitonic sorting software, communication minimisation, GENERAL-BS, MINIMIZING-BS, shared-memory parallel computers, parity strategy, sorting, local memory, parallel sorting algorithms
22	David Ashen, Fred J. Meyer, Nohpill Park, Fabrizio Lombardi	Testing of programmable logic devices (PLD) with faulty resources.	DFT	1997	DBLP DOI BibTeX RDF	faulty resources, routing resources, built-in self-test schemes, parity chain, one-dimensional arrays, active routing devices, interconnection channels, input/output lines, logic testing, fault model, fault coverage, multiple faults, programmable logic devices, programmable logic devices
22	Michael Gössel, Sebastian T. J. Fenn, David Taylor	On-line error detection for finite field multipliers.	DFT	1997	DBLP DOI BibTeX RDF	on-line error detection circuit, parity prediction, simulation, fault coverage, multiplying circuits, hardware overhead, finite field multiplier
22	Egor S. Sogomonyan, Michael Gössel	Concurrently self-testing embedded checkers for ultra-reliable fault-tolerant systems.	VTS	1996	DBLP DOI BibTeX RDF	circuit feedback, concurrently self-testing embedded checker, ultra-reliable fault-tolerant system, parity codes, design, monitoring, built-in self test, integrated circuit testing, linear feedback shift register, error detection codes, error detection code, shift registers, arithmetic codes, Berger codes, duplication codes, integrated circuit reliability, corrector