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List decoding codes on Garcia–Stictenoth tower using Gröbner basis

M. Prem Laxman Das, Kripasindhu Sikdar
2009 Journal of symbolic computation  
The procedure for root-finding of the interpolation polynomial going modulo a large degree place is described from the tower point of view.  ...  An account of the interpolation and the root-finding steps of list decoding of one-point codes is given.  ...  Acknowledgments The first author was a researcher at Indian Statistical Institute, Kolkata, when the research reported in this work was carried out.  ... 
doi:10.1016/j.jsc.2008.02.004 fatcat:rnw3mkth7rfg7m62zx6j4e6ayy

Constructions of Codes from Number Fields [chapter]

Venkatesan Guruswami
2001 Lecture Notes in Computer Science  
I thank Amin Shokrollahi for crucial pointers to prior work on number field codes.  ...  I am grateful to Michael Tsfasman and Serge Vlȃdut for pointers to [20, 21] and for sending me a copy of their paper [21] (which was crucial in simplifying some of my asymptotically good code constructions  ...  An algebraic error-correcting code is defined based on an underlying ring (assume it is an integral domain) whose elements ¡ come equipped with some notion of "size", denoted Constructing Codes from  ... 
doi:10.1007/3-540-45624-4_14 fatcat:rkqhlpumnva4hm7xycjju74vcq

Constructions of codes from number fields

V. Guruswami
2003 IEEE Transactions on Information Theory  
I thank Amin Shokrollahi for crucial pointers to prior work on number field codes.  ...  I am grateful to Michael Tsfasman and Serge Vlȃdut for pointers to [20, 21] and for sending me a copy of their paper [21] (which was crucial in simplifying some of my asymptotically good code constructions  ...  An algebraic error-correcting code is defined based on an underlying ring (assume it is an integral domain) whose elements ¡ come equipped with some notion of "size", denoted Constructing Codes from  ... 
doi:10.1109/tit.2002.808131 fatcat:grwsdn7m2bcezdcboev2c33trm

Page 3149 of Mathematical Reviews Vol. , Issue 2003d [page]

2003 Mathematical Reviews  
Summary: “An iterative algorithm is given for producing the parity-check functions for one-point algebraic-geometry codes, in particular (but not limited to) those related to the two towers of function  ...  The proof follows by estimating the number of effective F,2-rational divisors on a Hermitian curve from its zeta function, and no explicit examples of a divisor G that yields an improved code are given  ... 

Curves over Finite Fields and Codes [chapter]

Gerard van der Geer
2001 European Congress of Mathematics  
This paper gives a review of recent developments in this field and discusses some questions.  ...  To a linear code one can associate the pair (δ = d/n, R = k/n) ∈ [0, 1] 2 of relative parameters. Let U lin q be the set of limit points of the set of all such pairs coming from linear codes.  ...  of the function field F q (X) such that no f ∈ L has a pole in the points P i we can define an evaluation map α : L → F n q , f → (f (P i ) n i=1 ) .  ... 
doi:10.1007/978-3-0348-8266-8_18 fatcat:s64g45d3wvas3mw6lb7nbo6ydq

Optimal rate list decoding over bounded alphabets using algebraic-geometric codes [article]

Venkatesan Guruswami, Chaoping Xing
2020 arXiv   pre-print
The second class of codes are obtained by restricting evaluation points of an algebraic-geometric code to rational points from a subfield.  ...  The first class of codes are obtained by folding algebraic-geometric codes using automorphisms of the underlying function field.  ...  We are grateful to the anonymous reviewers for detailed and perceptive comments which led to significant improvements in the organization and presentation of the paper.  ... 
arXiv:1708.01070v2 fatcat:pg74jht3lnbn5ht7fufvlmqfq4

Folded Codes from Function Field Towers and Improved Optimal Rate List Decoding [article]

Venkatesan Guruswami, Chaoping Xing
2012 arXiv   pre-print
Our construction is based on a linear-algebraic approach to list decoding folded codes from towers of function fields, and combining it with a special form of subspace-evasive sets.  ...  Along the way, we shed light on how to use automorphisms of certain function fields to enable list decoding of the folded version of the associated algebraic-geometric codes.  ...  Folded codes from the Hermitian tower In this section, we will describe a family of folded codes based on the Hermitian function field (or rather a tower of such fields).  ... 
arXiv:1204.4209v1 fatcat:354tuk4k4zbb5ggzsez6dkz7gy

Codes for solar flux calculation dedicated to central receiver system applications: A comparative review

Pierre Garcia, Alain Ferriere, Jean-Jacques Bezian
2008 Solar Energy  
As we need adapted software to calculate the solar flux concentration through a tower-heliostat field system, an overview of computer codes was performed, detailing their features, strengths and weaknesses  ...  A bibliographic study on first generation and developing codes complements this overview of tools that may be interesting for CSP research or industry.  ...  from CRAL -Observatoire de Lyon, Manuel Blanco from University of Texas, Lorin Vant-Hull from University of Houston and Rafaele Bolliger from EPFL-LENI for their invaluable help.  ... 
doi:10.1016/j.solener.2007.08.004 fatcat:kvstcgkoz5gipgb3acsbz34bum

Typhoon inversion method combined with the YanMeng wind field and a meteorological monitoring system for transmission lines

Liqiang An, Yongyu Guan, Zhijian Zhu, Jingli Liu, Zhuobo Niu
2020 IEEE Access  
ACKNOWLEDGMENTS The authors acknowledge the financial support provided by the Natural Science Foundation of China (51675179) and the science and technology project of State Grid Corporation of China (SGHEBD00FCJS2000217  ...  Therefore it's hard to apply them on evaluating the transmission towers' wind resistance performance. The other approach is numerical simulation based on typhoon wind field model.  ...  However, whether collapse phenomenon happens not only depends on wind load applied, but also the capacity of towers, which varies a lot from one to another.  ... 
doi:10.1109/access.2020.3044419 fatcat:oqrhg5s6r5fqbclajza7ajnqwy

The arithmetic codex

Ignacio Cascudo, Ronald Cramer, Chaoping Xing
2012 2012 IEEE Information Theory Workshop  
It is intriguing that their construction requires asymptotically good towers of algebraic function fields over a finite field: no elementary (probabilistic) constructions are known in these cases.  ...  complexity (bilinear complexity of multiplication in algebras) in a single mathematical framework.  ...  Our notion of torsion limit of a tower of function fields introduced in [8] captures the combination.  ... 
doi:10.1109/itw.2012.6404767 dblp:conf/itw/CascudoCX12 fatcat:kkzuoif2xbfjfgcabhmp7clu6e

Deep Claim: Payer Response Prediction from Claims Data with Deep Learning [article]

Byung-Hak Kim, Seshadri Sridharan, Andy Atwal, Varun Ganapathi
2020 arXiv   pre-print
With the cost to recover these denials and underpayments, predicting payer response (likelihood of payment) from claims data with a high degree of accuracy and precision is anticipated to improve healthcare  ...  Built on this new latent representation, we demonstrate that a deep learning-based framework, Deep Claim, can accurately predict various responses from multiple payers using 2,905,026 de-identified claims  ...  Acknowledgements We thank Woosang Lim for helpful conversations on a lowrank bilinear pooling layer.  ... 
arXiv:2007.06229v1 fatcat:qvxvznszebbbtfh7gegowddw3u

Strategies in tower solar power plant optimization [article]

A. Ramos, F. Ramos
2012 arXiv   pre-print
We describe a method to evaluate the impact of design variables in the plant performance.  ...  We parametrize the plant design as a function of eleven design variables and reduce the problem of finding optimal designs to the numerical problem of finding the minimum of a function of several variables  ...  Figure 5 : Field layout of a plant with a tower with three receivers. One of them points to the north, and the others at 120 o .  ... 
arXiv:1205.3059v1 fatcat:mr65dtzjkbhqnfahtbgwhum5oy

Constructions of maximally recoverable local reconstruction codes via function fields [article]

Venkatesan Guruswami, Lingfei Jin, Chaoping Xing
2018 arXiv   pre-print
Local Reconstruction Codes (LRCs) allow for recovery from a small number of erasures in a local manner based on just a few other codeword symbols.  ...  For the case of a=1 (one local parity check), we improve the field size quadratically from r^h(h+1) to r^h (h+1)/2 for some range of r.  ...  The other s 3/2 places come from the F s -rational places lying over the unique zero P α of x − α for each evaluated at P we get a value in the residue field OP /P -one can think of the coordinates of  ... 
arXiv:1808.04539v1 fatcat:ehkfdtpigvdnzkroyzq2g54yuu

Application of the lifting line vortex wake method to dynamic load case simulations

K. Boorsma, M. Hartvelt, L.M. Orsi
2016 Journal of Physics, Conference Series  
Since the free vortex wake simulations come at a substantial increase of CPU-time, a hybrid approach prescribing the far wake is shown to offer a promising compromise.  ...  Within the EU AVATAR project, the added benefit of using the vortex line method is researched by calculating aero-elastic response for a variety of IEC load cases.  ...  of time (c) Chord normal force at 82%R as a function of time (d) Flapwise blade root moment (from pressures) as a function of time Figure 9 . 9 Simulation results for the pitch step case, Mexico rotor  ... 
doi:10.1088/1742-6596/753/2/022030 fatcat:csxwmztvcndlhoarcc6dobpifa

Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower [article]

Olav Geil, Stefano Martin, Umberto Martínez-Peñas, Diego Ruano
2015 arXiv   pre-print
asymptotically good towers of function fields.  ...  Asymptotically good sequences of ramp secret sharing schemes were given in [Asymptotically good ramp secret sharing schemes, arXiv:1502.05507] by using one-point algebraic geometric codes defined from  ...  In [4] it was discussed how to obtain asymptotically good sequences of ramp secret sharing schemes by using one-point algebraic geometric codes defined from asymptotically good towers of function fields  ... 
arXiv:1511.06230v1 fatcat:h3xxmwiy2zbt3nxlby3cxt7voq
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