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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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Cover of 'Applied Algebra, Algebraic Algorithms and Error-Correcting Codes'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 On Bent and Highly Nonlinear Balanced/Resilient Functions and Their Algebraic Immunities
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    Chapter 2 On Generalized Parity Checks
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    Chapter 3 Cryptography Based on Bilinear Maps
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    Chapter 4 The Merit Factor Problem for Binary Sequences
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    Chapter 5 Quantum Period Reconstruction of Binary Sequences
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    Chapter 6 The Vector Key Equation and Multisequence Shift Register Synthesis
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    Chapter 7 A General Framework for Applying FGLM Techniques to Linear Codes
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    Chapter 8 A Theory of Highly Nonlinear Functions
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    Chapter 9 The Solutions of the Third Power Sum Equation for Niho Type Decimations
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    Chapter 10 On Constructing AG Codes Without Basis Functions for Riemann-Roch Spaces
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    Chapter 11 Computing Gröbner Bases for Vanishing Ideals of Finite Sets of Points
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    Chapter 12 A Class of Fermat Curves for which Weil-Serre’s Bound Can Be Improved
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    Chapter 13 Nonbinary Quantum Codes from Hermitian Curves
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    Chapter 14 A Genetic Algorithm for Cocyclic Hadamard Matrices
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    Chapter 15 Unconditionally Secure Chaffing-and-Winnowing: A Relationship Between Encryption and Authentication
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    Chapter 16 A Fast Calculus for the Linearizing Attack and Its Application to an Attack on KASUMI
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    Chapter 17 On Achieving Chosen Ciphertext Security with Decryption Errors
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    Chapter 18 Applying Fujisaki-Okamoto to Identity-Based Encryption
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    Chapter 19 A Short Random Fingerprinting Code Against a Small Number of Pirates
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    Chapter 20 A General Formulation of Algebraic and Fast Correlation Attacks Based on Dedicated Sample Decimation
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    Chapter 21 Traitor Tracing Against Powerful Attacks Using Combinatorial Designs
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    Chapter 22 New Bounds on the Capacity of Multi-dimensional RLL-Constrained Systems
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    Chapter 23 LDPC Codes for Fading Channels: Two Strategies
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    Chapter 24 Low-Floor Tanner Codes Via Hamming-Node or RSCC-Node Doping
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    Chapter 25 Algebraic Constructions of Quasi-cyclic LDPC Codes – Part I: For AWGN and Binary Random Erasure Channels
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    Chapter 26 Algebraic Construction of Quasi-cyclic LDPC Codes – Part II: For AWGN and Binary Random and Burst Erasure Channels
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    Chapter 27 New Constructions of Quasi-cyclic LDPC Codes Based on Two Classes of Balanced Incomplete Block Designs: For AWGN and Binary Erasure Channels
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    Chapter 28 Long Extended BCH Codes Are Spanned by Minimum Weight Words
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    Chapter 29 On the Feng-Rao Bound for Generalized Hamming Weights
  31. Altmetric Badge
    Chapter 30 Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
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    Chapter 31 Complementary Sets and Reed-Muller Codes for Peak-to-Average Power Ratio Reduction in OFDM
  33. Altmetric Badge
    Chapter 32 Hadamard Codes of Length 2 t s ( s Odd). Rank and Kernel
Attention for Chapter 7: A General Framework for Applying FGLM Techniques to Linear Codes
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Chapter title
A General Framework for Applying FGLM Techniques to Linear Codes
Chapter number 7
Book title
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Published in
Lecture notes in computer science, February 2006
DOI 10.1007/11617983_7
Book ISBNs
978-3-54-031423-3, 978-3-54-031424-0
Authors

M. Borges-Quintana, M. A. Borges-Trenard, E. Martínez-Moro

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Italy 1 33%
Unknown 2 67%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 33%
Professor > Associate Professor 1 33%
Unknown 1 33%
Readers by discipline Count As %
Mathematics 2 67%
Unknown 1 33%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 3. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 25 March 2017.
All research outputs
#7,523,962
of 22,961,203 outputs
Outputs from Lecture notes in computer science
#2,489
of 8,137 outputs
Outputs of similar age
#24,495
of 70,862 outputs
Outputs of similar age from Lecture notes in computer science
#3
of 9 outputs
Altmetric has tracked 22,961,203 research outputs across all sources so far. This one is in the 44th percentile – i.e., 44% of other outputs scored the same or lower than it.
So far Altmetric has tracked 8,137 research outputs from this source. They receive a mean Attention Score of 5.0. This one has gotten more attention than average, scoring higher than 54% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 70,862 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 13th percentile – i.e., 13% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 9 others from the same source and published within six weeks on either side of this one. This one has scored higher than 6 of them.