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Polar Codes' Simplicity, Random Codes' Durability [article]

Hsin-Po Wang, Iwan Duursma
2019 arXiv   pre-print
like polar codes'.  ...  Over any discrete memoryless channel, we build codes such that: for one, their block error probabilities and code rates scale like random codes'; and for two, their encoding and decoding complexities scale  ...  Theorem 1 (the main theorem-polar codes' simplicity, random codes' durability). Let W be any discrete memoryless channel. Fix a prime ς 2. Fix constants π, ρ > 0 such that π + 2ρ < 1.  ... 
arXiv:1912.08995v1 fatcat:4rfcwzxafbhcxhb6whdlte4aya

Polar Codes' Simplicity, Random Codes' Durability

Hsin-Po Wang, Iwan M. Duursma
2020 IEEE Transactions on Information Theory  
complexities scale like polar codes'.  ...  The core theme is to incorporate polar coding (which limits the complexity to polar's realm) with large, random, dynamic kernels (which boosts the performance to random's realm).  ...  Theorem 1 (Main Theorem-Polar Codes' Simplicity, Random Codes' Durability): Let W be any discrete memoryless channel. Fix a prime ς 2. Fix constants π, ρ > 0 such that π + 2ρ < 1.  ... 
doi:10.1109/tit.2020.3041570 fatcat:vldb7yhyfza45okyu2nsf4xchu

Table of contents

2021 IEEE Transactions on Information Theory  
Duursma Polar Codes' Simplicity, Random Codes' Durability 1478 H.-P. Wang and I. M. Duursma Log-Logarithmic Time Pruned Polar Coding 1509 R. Li and M.  ...  Wootters Improved List-Decodability of Random Linear Binary Codes 1522 F. Lázaro, G. Liva, G. Bauch, and E.  ... 
doi:10.1109/tit.2021.3057963 fatcat:5kq77cmhnrhq3l5ltrw26zelde

Optimization of adaptive intraply hybrid fiber composites with reliability considerations

Michael C. Shiao, Christos C. Chamis, Nesbitt W. Hagood
1994 Smart Structures and Materials 1994: Smart Structures and Intelligent Systems  
The control devices in smart structures consist of (1) a polarized material, (2) an electric field parallel to the direction of polarization, and (3) the expansion-contraction effects of the polarized  ...  They require durability, high reliability, light weight, high performance, and affordable cost.  ... 
doi:10.1117/12.175210 fatcat:lf4twv7f7revfjcwyk5vrvp4n4

Complexity and Second Moment of the Mathematical Theory of Communication [article]

Hsin-Po Wang
2021 arXiv   pre-print
Over any discrete memoryless channel, I build codes such that: (1) their error probabilities and rates scale like random codes; and (2) their en/decoding complexities scale like polar codes.  ...  The two aforementioned results are built upon two pillars: a versatile framework that generates codes on the basis of channel polarization, and a calculus-probability machinery that evaluates the performances  ...  Corollary 6.16 (Random codes' durability, polar codes' simplicity).  ... 
arXiv:2107.06420v1 fatcat:q35kl44i45b5xcybodesjaxzwy

Efficient logging in non-volatile memory by exploiting coherency protocols

Nachshon Cohen, Michal Friedman, James R. Larus
2017 Proceedings of the ACM on Programming Languages  
Non-volatile memory (NVM) technologies such as PCM, ReRAM and STT-RAM allow processors to directly write values to persistent storage at speeds that are significantly faster than previous durable media  ...  For simplicity, we start with log entries that fit in a single cache line.  ...  Atlas [Chakrabarti et al. 2014 ] is a system designed to simplify porting of existing multithreaded code to run durably on a machine with NVM.  ... 
doi:10.1145/3133891 dblp:journals/pacmpl/CohenFL17 fatcat:a5ow6m2le5g6fcqbxdndlaq53u

The "Wow! signal" of the terrestrial genetic code

Vladimir I. shCherbak, Maxim A. Makukov
2013 Icarus (New York, N.Y. 1962)  
The code is a flexible mapping between codons and amino acids, and this flexibility allows modifying the code artificially. But once fixed, the code might stay unchanged over cosmological timescales.  ...  Though smaller in capacity, but stronger in noise immunity is the genetic code.  ...  He also noted that even more durable is the genetic code.  ... 
doi:10.1016/j.icarus.2013.02.017 fatcat:z3kzzaclijavvjd7gwwg4x4a4a

Roadmap on optical security

Bahram Javidi, Artur Carnicer, Masahiro Yamaguchi, Takanori Nomura, Elisabet Pérez-Cabré, María S Millán, Naveen K Nishchal, Roberto Torroba, John Fredy Barrera, Wenqi He, Xiang Peng, Adrian Stern (+16 others)
2016 Journal of Optics  
The first category of this roadmap describes novel encryption approaches, including secure optical sensing which summarizes double random phase encryption applications and flaws [Yamaguchi], the digital  ...  The main motivation for using optics and photonics for information security is that optical waveforms possess many complex degrees of freedom such as amplitude, phase, polarization, large bandwidth, nonlinear  ...  The signals to encrypt can be of various natures: biometrics, logos, traces, random codes, text or others.  ... 
doi:10.1088/2040-8978/18/8/083001 fatcat:xuffgvk4b5fu3hzikbq67wd5dm

The design and system aspects of the HD file drum

H. W. Fuller, S. P. Woodsum, R. R. Evans
1958 Proceedings of the May 6-8, 1958, western joint computer conference: contrasts in computers on XX - IRE-ACM-AIEE '58 (Western)  
Reading is accomplished by sensing the polarity of the limited information waveform in Gil and G12 with a sampling pulse P.s that emerges from delay line B.  ...  ., to meet the ever-growing demands for fast, inexpensive and large-capacity random access memories.  ... 
doi:10.1145/1457769.1457828 fatcat:lgnbqgalzfhsvdrk4dxi7sqwgy

Power-Frequency Electric Field Sensing Utilizing a Twin-FBG Fabry–Perot Interferometer and Polyimide Tubing with Space Charge as Field Sensing Element

Lutang Wang, Nian Fang
2019 Sensors  
comprehensive experiments with two sensor prototypes are carried out, in which a sensor exhibits a high sensitivity of 173.65 μV/(V/m) with a minimal detectable field strength of 0.162 V/m, and another has a durability  ...  On the other hand, PI materials also are one of polar dielectric polymers [30] containing numerous electric dipoles with random orientations without any movements [31] .  ...  , except for an experiment about a long-term running testing (durability), in which another prototype fabricated with a charged PI tubing (code #85) was selected.  ... 
doi:10.3390/s19061456 fatcat:m4e55r6wmnfclbe7bode3wejqq

Comparing Wealth Polarization Over Time and Across Countries in Africa

AbdelRahmen El Lahga
2005 Social Science Research Network  
In this paper we compare wealth polarization within and across ten African countries.  ...  Using DHS data and applying the recently developed polarization measure by Duclos et al (2004) we find that most countries included in this study experienced a sharp decrease of polarization but at different  ...  Given equation (4) polarization index P α ( F ), which we note P for expositional simplicity, can be rewritten as : P = n −1 n i=1 c i (6) where c i = f (y i ) α a(y i ).  ... 
doi:10.2139/ssrn.763444 fatcat:226mjlr2sfaergdgcz347vet6i

Coding of Class I and II Aminoacyl-tRNA Synthetases [chapter]

Charles W. Carter
2017 Advances in Experimental Medicine and Biology  
, Class II amino acids smaller and more polar.  ...  diverse to create a selective advantage for dividing amino acid activation between two distinct, apparently unrelated superfamilies of synthetases, Class I amino acids being generally larger and less polar  ...  that random mutational events could achieve that interconversion.  ... 
doi:10.1007/5584_2017_93 pmid:28828732 pmcid:PMC5927602 fatcat:e3g3f3737zfw5ph5eqfveoclvq

Photonic entanglement as a resource in quantum computation and quantum communication

Robert Prevedel, Markus Aspelmeyer, Caslav Brukner, Anton Zeilinger, Thomas D. Jennewein
2007 Journal of the Optical Society of America. B, Optical physics  
For simplicity, we will restrict our discussion to single-qubit gate operations, i.e., measurements on linear cluster states. 21 The argument can be generalized in a straightforward manner.  ...  Besides the impressive achievements in laboratories all over the world, there remain fascinating challenges for the future ranging from the interfacing of photons to scalable and durable architectures,  ... 
doi:10.1364/josab.24.000241 fatcat:epczzvyg4fapbc7ri5bhanwgge

Gas recognition with terahertz time-domain spectroscopy and spectral catalog: a preliminary study

H. Lin, W. Withayachumnankul, B. M. Fischer, S. P. Mickan, D. Abbott, Cunlin Zhang, Xi-Cheng Zhang
2007 Terahertz Photonics  
With the availability of highly stable microwave sources, FT-MW also has the added benefit of overall system stability and durability.  ...  Earlier works on real-time gas recognition with THz-TDS have modeled the power spectrum of various gases and identified them with some success. 4, 5 In particular, linear predictive coding (LPC) has  ... 
doi:10.1117/12.760558 fatcat:r7eehn2dovaq5lr5pp2oejek5i

Volume-constrained microcontainers enable myoepithelial functional differentiation in highly parallel mammary organoid culture

Michael E. Todhunter, Masaru Miyano, Divya S. Moolamalla, Aleksandr Filippov, Rosalyn W. Sayaman, Mark A. LaBarge
2021 iScience  
The relative simplicity of the approach lends itself to scalability.  ...  All relevant code to reproduce the analysis is available in Supplemental Code 2.  ... 
doi:10.1016/j.isci.2021.102253 pmid:33796842 pmcid:PMC7995530 fatcat:dxu2gknibrhf7iclspqg2bjskq
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