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by S Ekbatani · 2008 · Cited by 31 — To utilize feedback information, a class of code constellations is proposed, inspired from orthogonal designs and precoded space-time block .... codes. Initial version was typed by Qingqing Huang and Austin Collins, who also created ... Indeed, the information-theoretic definition of entropy is related to entropy in ... where k is the Boltzmann constant, and we assumed that each particle can ... In particular, if Xk has probability density function (pdf) p, then h(Xk) = Elog 1.. by S Sundaram · Cited by 2 — for transmitting this information through the network, whereby ... we will connect this approach to linear network codes that ... Further background on graph theory can be found in standard ... At each time-step k, sink node xi ∈ T has access to its ... [7] A. Giridhar and P. R. Kumar, “Toward a theory of in-network compu-.

information theory and coding book by giridhar pdf free download
information theory and coding by giridhar
information theory and coding giridhar pdf

by R Appuswamy · 2011 · Cited by 88 — information theory, network coding, throughput. ... Giridhar and Kumar [18] have stated: ... Divisible functions have been studied previously5 by Giridhar ... C. Freiling, and K. Zeger, “Network routing capacity,” IEEE Trans. Inf. Theory, vol. 52, no.. by C Lin · 2008 · Cited by 10 — codes that come close to achieving the mutual information between the input ... We assume that there are K streams of input symbols x1[t],..., xK[t] for the ... [4] G. V. Rangaraj, D. Jalihal, and K. Giridhar, “Analysis of space-time coding in ... Detection and Estimation for the IEEE Transactions on Information Theory from 2000 to ...

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munication: Performance criterion and code construction”, IEEE Trans. ... R. J. Piechocki, G. V. Tsoulos, and J. P. McGeehan, “Simple general formula for pdf of angle ... E. Biglieri, J. Proakis, and S. Shamai, “Fading channels: Information-theoretic ... M. R. Raghavendra and K. Giridhar, “Improving channel estimation in OFDM .... Channel coding theorem, Differential entropy and mutual information for ... Digital and analog communication systems, K. Sam Shanmugam, John Wiley, 1996. ... 52. Time domain approach. 200. 53. Transform domain approach. 206. 54 ... Our interest then is to find the p.d.f., f(x) that maximizes the entropy function H(X) .... by K Vasudevan · 2020 · Cited by 35 — Dr. K. Giridhar and Dr. Bhaskar Ramamurthi who were jointly my Doctoral ... information theory, source coding, synchronization, OFDM and wireless com ... Example 2.1.4 A BPSK constellation is corrupted by noise having pdf as given ... 52. K. Vasudevan Faculty of EE IIT Kanpur India email: vasu@iitk.ac.in.

information theory and coding by giridhar

The redundancy introduced by channel coding in finite and real Galois fields ... Thus, if snx1 is sparse enough (k-sparse), the sparsest solution of (1) is ... polynomial (ELP) [59], iterative techniques [52,6065], and IMAT [25,31,66,67]. ... Information theoretic A more recent approach is adaptive and information theoretic [101].. The Need for Structure in Quantum LDPC Codes. L Eldar, M Ozols, KF Thompson. IEEE Transactions on Information Theory ( March 2020 ) 66 (Issue: 3), 2019.

information theory and coding giridhar pdf

Continuous Information; Density; Noisy Channel Coding Theorem. 6. Fourier ... ular configurations, and k is the constant which bears Boltzmann's name: k =1.38 .... 7.4 Preview of the Channel Coding Theorem. 7.5 Definitions. 7.6 Jointly ... N Fundamental theory and central success of information theory.. by S Shin · 2017 · Cited by 1 — Wainwright, and K. Ram- chandran, “Network coding for distributed storage systems,” IEEE. Transactions on Information Theory, vol. 56, pp. 4539 .... Post-doc, MIT - ‪182 цитирования‬ - ‪Complexity theory‬ - ‪algorithms‬ ... Загрузка файла PDF ... 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science, ... Commuting local Hamiltonians on expanders, locally testable quantum codes, ... L Eldar, MR Raghavendra, S Bhashyam, R Bercovich, K Giridhar.. by S Kannan · 2013 · Cited by 21 — ing, multiple unicast, network coding, computation trees, multi- casting, sensor ... For K-session function multicasting with ... Giridhar and Kumar [11]. ... 8) Correlated sources: Information theoretic approaches ... (52) for some universal constant κ. This result is implicit in [3] and [4], and we refer the reader.. Get PDF. Show BibTeX. (With Recommendation from Christoph Studer; Open Access ... MIMO Space Time Coding,” in Proceedings of IEEE 5G World Forum (WF-5G 2019), ... M. Dörpinghaus, “A lower bound on the entropy rate for a large class of ... A. Ayyar, M. Lentmaier, K. Giridhar and G. Fettweis, “Robust Initial LLRs for .... Information Theory: Discrete messages, Concept of amount of information and its ... Digital and Analog Communication Systems – K.Sam Shanmugam, John .... 3. Prof. K. Giridhar ... Employ K-Map for simplifying Boolean functions and design of circuits composed of NAND ... 8051/52, Interrupt Programming in C. ... Appraise the basics of information theory, entropy, rate of information, extension of zero-.. Big Data, Vol.5, No.2, pp.266-278, 2019. pdf; K. Daqrouq, S. Chen, E. Khalaf, ... 2018. pdf; M.I. Kadir, Zhang, S. Chen and L. Hanzo, "Entropy coding aided adaptive ... Issue 5, pp.52-61, Oct. 2014. pdf; M.I. Kadir, S. Chen, K.V.S. Hari, K. Giridhar .... convergence or a certain number of iterations) take x(k+1) to be the vector with entries: ( x(k+1)) ... IEEE Transactions on Information Theory, 52:21722176, 2006.. by AM Alaa — Thus, for all k ∈ N/{i}, agent i needs to select a pure strategy p ... property of the entropy, we know that if agent i has no incentive to connect to a set V of agents, ... Flow With Correlated Sources,” IEEE Trans. Inform. Theory, vol. 52, no. 1, Jan. 2006, pp. ... Proc. of Workshop on Network Coding, Theory and Applications, 2007.. Unit – 4: Channel coding theorem, Differential entropy and mutual information for ... Digital and analog communication systems, K. Sam Shanmugam, John Wiley, ... UNIT – 8. 197. 51. Convolution Codes. 198. 52. Time domain approach. 200.. performance by transmitting extra information bits in each subcarrier ... using space–time codes [4]. It has been ... BiljanaBadic, in [2] provided a unified theory of Quasi-. Orthogonal ... [15] M. I. Kadir, S. Chen, K. Hari, K. Giridhar, and L. Hanzo ... Transactions on Information Theory, vol. 52, no. 4, pp. 1289–1306, April 2006.. $AR 1.190,25 U$S 18,52.. Quimica ... Information Theory And Coding By K Giridhar Pdf Download ... canoco for windows 4.5 free download. Post-doc, MIT - ‪‪引用次数：195 次‬‬ - ‪Complexity theory‬ - ‪algorithms‬ ... 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science, 334-343, 2011 ... Commuting local Hamiltonians on expanders, locally testable quantum codes, and the ... L Eldar, MR Raghavendra, S Bhashyam, R Bercovich, K Giridhar.. by N Goela · 2013 · Cited by 2 — polarization theory of random variables, providing insight into information-theoretic concepts such as random binning, superposition coding, .... by LC Chu · 2001 · Cited by 6 — k δ is the noise variance. The coding gain is denoted d γ and the constellation expansion ... Next, we will review the linear multiuser detection with AWGN channel [51], [52], ... For the DMT-ADSL system shown in Fig.5.1.1, basic information theory can be used ... pdf of all hypothesized sequences' path metrics is calculated.. How much information can wireless networks transfer with this mode ... Aggregate pumping capacity of the network (Gupta & K '00) ... 32A. πΔ2. ⋅. 1 n. So. 3+ 5. 2. ⎛. ⎝⎜. ⎞. ⎠⎟. 2. ≤. 3. 2 + 52. 2. (or 16 ≤17). 3. 5. 4 ... Or if adaptive coding is used so that bit-rate depends on SINR ... So one turns to information theory for.. by R Zhang · 2013 · Cited by 26 — Muhammad Ali Imran, Aditya K. Jagannatham, Abhay Karandikar, Santosh Kawade, Mohammed Zafar Ali. Khan, Sayee C. ... relying on network coding, followed by the design of cross-layer ... cated to Multiple Source Cooperation (MSC) [52,53], which ... IEEE Transactions on Information Theory, vol. 25, pp.. include threats to disclose information like this. 21. So I think the real difference between the. 22 crime of extortion and the crime of coercion .... by DM Bramich · 2016 · Cited by 10 — where the Krs are the kernel pixel values, r and s are pixel indices ... The addition of a penalty term to the chi-squared is equivalent to adopting a non-uniform Bayesian prior PDF on the ... the connectivity graph of the set of DBFs (cf. graph theory). ... 3.2 Information criteria for maximum likelihood ... (52) .... by J Baillieul · 2007 — network information theory, Bluetooth, information-based control, information-induced instability, ... Preprint available: http://people.bu.edu/johnb/CDC03.2.pdf. ... K. Li and J. Baillieul, “Robust Quantization and Coding for ... 52. Arvind Giridhar and P. R. Kumar, “Scheduling Traffic on a Network of Roads,” To .... IEEE Transactions on Information Theory, ... [24] A. Giridhar and P. R. Kumar. ... Coding Approaches to Fault Tolerance in Combinational and ... [52] B. Krebs. ... [73] L. Schenato, B. Sinopoli, M. Franceschetti, K. Poolla, and S. S. Sastry.. information effectively. ... 4.12. Snow, Julie, NURS-3345-508: TRANS PROFESSIONAL. NURSING. 52. 27. 52% ... 4.33. 4.17. Godbey, Kay, PAPP-5368-500: PRACT EMPLYMT PUB ... Wright, Beth, ART-5320-5: ART CRITICISM & THEORY 1. 1 ... Karadi Giridhar, Mithun Nag, BIOL-1441-17: CELL ... PROGRAMMING. 80.. by M Effros · 2015 — These combinatorial limitations in the coding of information lay at ... community in the context of network information theory, and the “Hamming path” ... Let n and k be two natural numbers such that 2 ≤ k ≤ n ≤ k(k − 1). ... and reliable and secure network communication [52]. ... [27] Arvind Giridhar and Praveen R Kumar.. by N Karamchandani · 2011 — Figure 3.2: A T-admissible code for the k-threshold function for non-coherent rate-preserving ... for Computing: Cut-set bounds”, IEEE Transactions on Information Theory, Feb. 2011. ... Networks with noisy links were studied in [6–8,10,12,52–55]. ... Divisible functions have been studied previously5 by Giridhar and Kumar [3].. Abstract—Low density parity check (LDPC) code is very ... So, LDPC code has been adopted for the standard of IEEE ... Finally, we can output as 52 data ... IEEE Sixth Electro/Information Technology Conf., Lansing, MI, USA, ... [8] S. Kalyani, and K. Giridhar, "Quantised decision based gradient descent ... Theory, vol. IT-8, pp .... by AM Sola — Change the CAPTCHA code Speak the CAPTCHA code ... Sonya Giridhar, PhD 3 ... Article Information, PDF download for Validation of a ... of a grounded theory analysis was administered to parents of 31 deaf or ... White, KR, Forsman, I, Eichwald, J, Munoz, K. The evolution of early ... 2013;52:10-16.. ACM Transactions on Architecture and Code Optimization (TACO), 16, issue 3, September ... [Best Paper Award] [pdf]; A. Gutierrez, M. Cieslak, B. Giridhar, R. Dreslinski, ... [pdf]; C. Gao, A. Gutierrez, R. G. Dreslinski, T. Mudge, K. Flautner, G. Blake. ... Servers”, Communications of the ACM, Research Highlights. vol 52, no 4.. Convolutional coding scheme correlates + information elements by means of exclusive -or (XOR) ... is taken as example, this state can be reached from two different states namely S20 and S52. ... "Information Theory and Coding", by Prof. utilization table for both convolution encoder and K. Giridhar, pooja publications.. by Y Wang · 2013 · Cited by 4 — Generalized Akaike Information Criterion (GAIC) to estimate. PDPs of all cells for reducing the signal space of channel estimation, the paper .... by JPI Ortega · 2020 — Abstract 1052 | PDF (Español (España)) Downloads 264 PDF Downloads 40 ... [3] M. R. Raghavendra, S. Bhashyam, and K. Giridhar, “Exploiting hopping pilots ... [11] D. L. Donoho, “Compressed sensing,” IEEE Transactions on Information Theory, vol. 52, no. 4, pp. ... CODE PROJECT for those who code.. by IA Morell · 2020 — autonomy of women is documented [20] we lack information on how education influences elderly ... This resonates well with Spivak's [38] theory of the silence of the “subaltern” that ... to as “master narratives,” ([52], p. 3). ... This proximity was ensured by rigorous inductive coding procedures in combination.. Information Theory is a branch of probability theory which may be applied ... The source information measure, the channel capacity measure and the coding are all ... If a channel can transmit a maximum of K pulses per second, then the ... random variable X having a PDF (Probability Density Function) fx (x).. ece 270 past exams And Highest package (Domestic) was around 52. ... to the University of Utah (ETS code: 4853) ECE Department (ETS code: 1203) If ... David Brady leads the Duke Information Spaces Project (DISP). Prerequisite(s): ENGL 161. Financial Reporting Pdf - case studies in accounting Exam 1 (Ch. In order to .... by S Torabi · Cited by 3 — coding for distributed function computation in the design of modern distributed ... given by the information theory community to obtaining the minimum amount of .... 1.1 Information Theory, Statistics, and New Codes . . . . . . . . . . . . . . . . . 1 ... 5.1 Block diagram of a polar code based on Marton's broadcast construction. . . . 52. 5.2 The ... The notation Y k:ℓ i. {Yi(k),Yi(k + ... [38] Arvind Giridhar and P. R. Kumar.. 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science, 334-343, 2011 ... L Eldar, MR Raghavendra, S Bhashyam, R Bercovich, K Giridhar.. by A Anandkumar · Cited by 4 — and coding schemes, as well as to the channel attenuation), the energy expended ... Alternatively, diffusion-based [10] and joint-entropy based models [11] have also ... In fact, for any MRF with acyclic dependency graph Gd, the joint pdf fYV ... Form Error Exponent and Properties,” IEEE Trans. Information Theory, vol. 52, no.. by A Singer · 2011 · Cited by 299 — Angular synchronization by eigenvectors and semidefinite programming ... of the method is analyzed using random matrix theory and information theory. ... A. Frieze, M. JerrumImproved approximation algorithms for MAX k-CUT and MAX ... [17]: A. Giridhar, P.R. Kumar, Distributed clock synchronization over wireless .... by C Suh · 2012 · Cited by 11 — Recently coding for computation in networks has re- ... destination) networks, when the entropy of each source is limited by 1. ... We say that the computing rate Rcomp = K. N ... [1] A. Giridhar and P. R. Kumar, “Computing and communicating ... IEEE Transactions on Information Theory, vol. 52, pp. 4413–4430,. Oct. 2006.. PDF | We study the use of linear codes for network computing in ... Conference: Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on. Authors: ... Furthermore, given a (k , n)network code, every edge e∈ E ... capacity”, IEEE Transactions on Information Theory, vol. 52, no. 3, pp.. Post-doc, MIT - ‪‪引用次數：195 次‬‬ - ‪Complexity theory‬ - ‪algorithms‬ ... 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science, 334-343, 2011 ... Commuting local Hamiltonians on expanders, locally testable quantum codes, and the ... L Eldar, MR Raghavendra, S Bhashyam, R Bercovich, K Giridhar.. by KM Chugg · 1996 · Cited by 139 — International Symposium on Information Theory, Whistler, B.C., Canada,. September 1995. ... as K + oc where {Rk} is the set of coefficients corre- sponding to the ... in a code division multiple access system with unknown user amplitudes ... the channel estimate, but the form in (52) may be approximated.. Convolutional codes are non blocking codes that can be designed to either error detecting or ... information elements by means of exclusive -or ... (K)=7,bit rate (r)=1/2 ... and S52. During computation out of these two any 'one' state will have ... "Information Theory and Coding", by Prof. K. Giridhar, pooja publications. [4].. information to help users get the most out of our resources. ... We ensured that all of the requisite programming models, tools, debuggers, ... Cheung, Giridhar ... ab initio quantum chemistry theory, such as QMC, that takes electron ... 52. ALCF | 2013 ANNUAL REPORT. George Chiu, Richard Coffey,* Susan Coghlan,*.. by VP Boda · 2017 · Cited by 12 — with m components of which k ≤ m possibly different sources are sampled at each time ... coding of analog sources in an information theoretic setting, with a probabilistic ... in (52) and (53) comes from the continuity of the conditional ... [12] A. Giridhar and P. R. Kumar, “Computing and communicating functions over sensor .... (University of California, Santa Barbara), D.J. Edwards, K. Kruska, R.J. Kurtz. (Pacific Northwest National Laboratory), S.J. Tumey (Lawrence Livermore National.. by N Karamchandani · 2010 · Cited by 8 — coding, through appropriate choice of the subspace codebooks at the source ... information transfer, which leads to a simple implementation. ... and K-largest values functions considered Section IV. In ... B. Leong, “A random linear network coding approach to multicast,”. IEEE Transactions on Information Theory, vol. 52, no.. In SM, the information is carried by the locations of the antennas used at transmitter and signal modulation. So, spectral efficiency is raised in SM which is equal .... by J Chung · 2013 · Cited by 12 — Space-time codes for high data rate wireless communications: performance criterion ... IEEE Transactions on Information Theory, 44, 744–765.. Communication and Information Systems Security Symposium. 43. Communication Theory Symposium ... K on fe re n z. 5. CISS-0. 1. (p. 4. 3. ): W ire le ss. N e tw ork. Se cu rity. CISS-0 ... Source Coding in Wireless Sensor Networks ... (Shenzhen University), M. Z. Wang. (Hong Kong Polytechnic University). 52 ... K. Giridhar.. by KC Chen · 2014 · Cited by 203 — fusing information between infrastructure and machine swarm, which can be considered ... 4. K.-C. Chen, S.-Y. Lien / Ad Hoc Networks 18 (2014) 3–23 ... through applying the second order corn programming if ... security concerns [52]. Similarly ... tion theory to optimize information flow in a network. [104].. by NM Freris · Cited by 135 — The most general information theoretic formulation of this problem presents ... is a disk of radius (1 + ∆)ρkl centered at node k, where ρkl is the ... a generalized physical model where each node uses adaptive coding to attain a bit ... of two nodes [51] and to the case of tree networks [52]. ... [39] A. Giridhar and P. R. Kumar.. tingale theory — a coding proof of Ornstein and Weiss [118] is used to prove ... has not been included because existing treatments [43], [17], [11], [52] are quite ... and binomial sums with a particular entropy. We require the familiar definition of the binomial coefficient: (n k. ) = n! ... Similarly, there is a pdf g for M. In this case,.. information theory coding 6 sem ec notes - Free ebook download as PDF File (.pdf) or ... Coding skap COLLECTION OF NOTES uses Suu se : INO, OF MOUrS: 52 ... 11 | Systems - K. Sam John Wiley | 1996 Text book Shanmugam Digital 72 .... by F Marvasti · Cited by 131 — the algorithms developed in this area such as linear programming ... tionary is orthogonal and the signal x is composed of k ≪ n atoms, the ... reconstruction matrix may be ill-conditioned [51], [52]. ... the probability distribution has shown that the Gaussian PDF is ... c- Information Theoretic: A more recent approach is adap-.. A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum ... A type-I DST (DST-I) was later described by Anil K. Jain in 1976, and a type-II ... Nasir Ahmed also developed a lossless DCT algorithm with Giridhar ... It is a more effective lossless compression algorithm than entropy coding.. by B Nazer · Cited by 438 — Symposium on Information Theory, Seattle, WA, July 2006, and at the IEEE. International ... Definition 3 (MAC): There is a conditional pdf. pY |X1X2···XM (y|x1,x2,... ... Definition 4 (Computation Code): A (k, n, ǫ) code is spec- ified by M encoders: ... coding (51), separation-based coding (50), and repetition (52) are given in .... In Cognitive Linguistics: A User-friendly Approach, K. Turewicz (ed.) ... In Evidentiality: The Linguistic Coding of Epistemology [Advances in Discourse ... Mirativity: The grammatical marking of unexpected information. Linguistic Typology 1(1): 33–52. ... The Theory of Functional Grammar. ... Giridhar, Puttushetra Puttuswamy.. Index Modulation Techniques; Type II Channel State Information Feedback ... Reducing readout time in an MRI machine using novel k-space ... Signal Processing Society's Signal Processing Theory and Methods ... ZuPT Aided INS52:18 ... Mohammad Ismat Kadir, Sheng Chen, K.V.S. Hari, K. Giridhar and .... by B Chandrasekaran · 2007 — 4.2.3 Intermediate entropy coding representation . ... [52]. In the field of communications it has been already proved that these LDPC codes achieves optimal .... Information Theory And Coding By Satyanarayana Pdf ... P.S. Satyanarayana is the author of Concepts of Information Theory & Coding ... Giridhar K. online. ... and Coding () 4: 52 Hrs. Course Learning Objectives: Information theory & coding is .... by TM Cover · Cited by 4 — Please note that the Solutions Manual for Elements of Information Theory is ... optimal (Huffman) code minimizing the expected number of questions. 2. ... (a) Find an upper bound on the number of coins n so that k weighings will find the ... 52. The Asymptotic Equipartition Property. 4. AEP. Let Xi be iid ∼ p(x), x ∈ {1,2,...,m}.. University Online People Search and Personal Information . ... One literary theory course, preferably in the Department (i.e. SPAN 795) .... Continuous Information; Density; Noisy Channel Coding Theorem. 6. Fourier ... ular configurations, and k is the constant which bears Boltzmann's name: k =1.38 .... by KJ Forseth · 2020 — Humans efficiently extract speech information from noisy acoustic signals and segment this into meaningful linguistic units. This complex and .... PDF のアップロード. PDF 復元 ... MR Raghavendra, K Giridhar. IEEE Signal Processing Letters 12 (1), 52-55, 2004 ... MR Raghavendra, S Bhashyam, K Giridhar ... 91, 2005. Multiuser channel estimation and tracking for long-code CDMA systems ... 2009 IEEE International Symposium on Information Theory, 403-407, 2009.. 2. Information Theory And Coding., Giridhar K., Pooja Publications, 1st Ed.,. 2001. 3. Digital Communication., Bhatacharya .... IEEE North American School of Information Theory: Co-founder (2008), Chair (2008, 2009, 2010). ... “Subset Source Coding,” IEEE Transactions on Information Theory, ... [64] K. Tutuncuoglu and A. Yener, ”Energy Harvesting Networks with ... Cache Sizes, ” Proceedings of the 52nd Asilomar Conference on .... by R Appuswamy · Cited by 24 — mechanism in the context of network information theory. In ... A (k, n) network code is called a solution for computing f. 2 ... [8] A. Giridhar and P. R. Kumar, “Computing and communicating ... formation networks,” IEEE Transactions on Information Theory &. IEEE/ACM Transactions on Networking (joint issue), vol. 52, no. 6,.. by AV Ryzhkov · 2013 · Cited by 103 — Similar to earlier works of Aydin and Zhao (1990), Aydin and Giridhar (1991), and ... of Applied Meteorology and Climatology 52, 12; 10.1175/JAMC-D-13-073.1 ... are computed using a T-matrix code for two-layer spheroids as in Depue at al. ... Aydin, K., , and V. Giridhar, 1991: Polarimetric C-band radar observables in .... 52--55, Jan.2005.(pdf) [14] J. K. Milleth, K. Giridhar, and D. Jalihal, "Closed loop ... codes," in IEEE Information Theory Workshop, (Bangalore, India), Oct. 2002.. by BK Rai · 2010 · Cited by 18 — Published in: 2010 IEEE Information Theory Workshop on Information Theory (ITW ... Linear coding was proved to be sufficient to achieve capacity of a multicast .... Post-doc, MIT - ‪引用: 181 件‬ - ‪Complexity theory‬ - ‪algorithms‬ - ‪quantum computing‬ ... 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science, ... Commuting local Hamiltonians on expanders, locally testable quantum codes, and the ... L Eldar, MR Raghavendra, S Bhashyam, R Bercovich, K Giridhar.

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Information Theory And Coding By K Giridhar Pdf 52 [PORTABLE]