NDLI: Output-sensitive decoding for redundant residue systems

Please wait, while we are loading the content...

Algebraic invariants and their differential algebras

Symbolic methods for solving systems of linear ordinary differential equations

A new incremental algorithm for computing Groebner bases

Finding all bessel type solutions for linear differential equations with rational function coefficients

Computation with semialgebraic sets represented by cylindrical algebraic formulas

A method for semi-rectifying algebraic and differential systems using scaling type lie point symmetries with linear algebra

Global optimization of polynomials using generalized critical values and sums of squares

NumGfun: a package for numerical and analytic computation with D-finite functions

Computing the singularities of rational space curves

When can we detect that a P-finite sequence is positive?

Real and complex polynomial root-finding with eigen-solving and preprocessing

Solving Bezout-like polynomial equations for the design of interpolatory subdivision schemes

A Strassen-like matrix multiplication suited for squaring and higher power computation

Liouvillian solutions of irreducible second order linear difference equations

Iterative Toom-Cook methods for very unbalanced long integer multiplication

Easy composition of symbolic computation software: a new lingua franca for symbolic computation

Verification methods: rigorous results using floating-point arithmetic

Asymptotically fast algorithms for modern computer algebra

Degree bounds for Gröbner bases of low-dimensional polynomial ideals

Simultaneously row- and column-reduced higher-order linear differential systems

Black-box/white-box simplification and applications to quantifier elimination

Absolute factoring of non-holonomic ideals in the plane

A Slice algorithm for corners and Hilbert-Poincaré series of monomial ideals

Chebyshev interpolation polynomial-based tools for rigorous computing

Solving schubert problems with Littlewood-Richardson homotopies

Complexity of creative telescoping for bivariate rational functions

Computing the radius of positive semidefiniteness of a multivariate real polynomial via a dual of Seidenberg's method

Computing loci of rank defects of linear matrices using Gröbner bases and applications to cryptology

Computing specified generators of structured matrix inverses

Solving recurrence relations using local invariants

An in-place truncated fourier transform and applications to polynomial multiplication

Symbolic integration at compile time in finite element methods

Theory of reals for verification and synthesis of hybrid dynamical systems

Transformation and factorization of partial differential systems: applications to stochastic systems

A new algorithm for computing comprehensive Gröbner systems

Consistency of finite difference approximations for linear PDE systems and its algorithmic verification

Parametric quantified SAT solving

Algorithms for Bernstein--Sato polynomials and multiplier ideals

Composition collisions and projective polynomials: statement of results

Blind image deconvolution via fast approximate GCD

Triangular decomposition of semi-algebraic systems

Partial denominator bounds for partial linear difference equations

Random polynomials and expected complexity of bisection methods for real solving

Output-sensitive decoding for redundant residue systems

Yet another block Lanczos algorithm: how to simplify the computation and reduce reliance on preconditioners in the small field case

On some decidable and undecidable problems related to q-difference equations with parameters

Randomized NP-completeness for p-adic rational roots of sparse polynomials in one variable

Fast multiplication of large permutations for disk, flash memory and RAM

Decomposition of generic multivariate polynomials

Polynomial integration on regions defined by a triangle and a conic

The DMM bound: multivariate (aggregate) separation bounds

Output-sensitive decoding for redundant residue systems

Content Provider	ACM Digital Library
Author	Khonji, Majid Roch, Jean-Louis Stalinski, Thomas Pernet, Clément Roche, Thomas
Abstract	We study algorithm based fault tolerance techniques for supporting malicious errors in distributed computations based on Chinese remainder theorem. The description holds for both computations with integers or with polynomials over a field. It unifies the approaches of redundant residue number systems and redundant polynomial systems through the Reed Solomon decoding algorithm proposed by Gao. We propose several variations on the application of the extended Euclid algorithm, where the error correction rate is adaptive. Several improvements are studied, including the use of various criterions for the termination of the Euclidean Algorithm, and an acceleration using the Half-GCD techniques. When there is some redundancy in the input, a gap in the quotient sequence is stated at the step matching the error correction, which enables early termination parallel computations. Experiments are shown to compare these approaches.
Starting Page	265
Ending Page	272
Page Count	8
File Format	PDF
ISBN	9781450301503
DOI	10.1145/1837934.1837985
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2010-07-25
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Redundant residue number system Fast extended euclidean algorithm Adaptive algorithms Early termination Algorithm based fault tolerance
Content Type	Text
Resource Type	Article

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in