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Applied algebra, algebraic algorithms and error-correcting codes : 14th international symposium, AAECC-14, Melbourne, Australia, November 26-30, 2001 : proceedings / Serdar Boztaș, Igor E. Shparlinski (eds.).

By: AAECC-14 (2001 : Melbourne, Vic.)Contributor(s): Boztaș, Serdar | Shparlinski, Igor EMaterial type: TextTextSeries: Serienbezeichnung | Lecture notes in computer science ; 2227.Publication details: Berlin ; New York : Springer, 2001. Description: 1 online resource (xii, 398 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540456247; 3540456244Other title: AAECC-14Subject(s): Error-correcting codes (Information theory) -- Congresses | Algebra -- Data processing -- Congresses | Algorithms -- Congresses | Algebra -- Data processing | Algorithms | Error-correcting codes (Information theory)Genre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Applied algebra, algebraic algorithms and error-correcting codes.DDC classification: 005.72 LOC classification: QA268 | .A35 2001Other classification: 54.10 Online resources: Click here to access online
Contents:
Invited Contributions -- The Ubiquity of Reed-Muller Codes -- Self-dual Codes-Theme and Variations -- Design of Differential Space-Time Codes Using Group Theory -- Ideal Error-Correcting Codes: Unifying Algebraic and Number-Theoretic Algorithms -- Block Codes -- Self-dual Codes Using Image Restoration Techniques -- Low Complexity Tail-Biting Trellises of Self-dual codes of Length 24, 32 and 40 over GF(2) and Z4 of Large Minimum Distance -- F q -Linear Cyclic Codes over F q m: DFT Characterization -- Code Constructions -- Cyclic Projective Reed-Muller Codes -- Codes Identifying Sets of Vertices -- Duality and Greedy Weights of Linear Codes and Projective Multisets -- Codes and Algebra:Rings and Fields -- Type II Codes over IF2r -- On Senary Simplex Codes -- Optimal Double Circulant Z4-Codes -- Constructions of Codes from Number Fields -- On Generalized Hamming Weights for Codes over Finite Chain Rings -- Information Rates and Weights of Codes in Structural Matrix Rings -- Codes and Algebra:Algebraic Geometry Codes -- On Hyperbolic Codes -- On Fast Interpolation Method for Guruswami-Sudan List Decoding of One-Point Algebraic-Geometry Codes -- Computing the Genus of a Class of Curves -- Sequences -- Iterations of Multivariate Polynomials and Discrepancy of Pseudorandom Numbers -- Even Length Binary Sequence Families with Low Negaperiodic Autocorrelation -- On the Non-existence of (Almost- )Perfect Quaternary Sequences -- Maximal Periods of x2 + c in Fq -- On the Aperiodic Correlation Function of Galois Ring m-Sequences -- Euclidean Modules and Multisequence Synthesis -- Cryptography -- On Homogeneous Bent Functions -- Partially Identifying Codes for Copyright Protection -- On the Generalised Hidden Number Problem and Bit Security of XTR -- CRYPTIM: Graphs as Tools for Symmetric Encryption -- Algorithms -- An Algorithm for Computing Cocyclic Matrices Developed over Some Semidirect Products -- Algorithms for Large Integer Matrix Problems -- On the Identification of Vertices and Edges Using Cycles -- Algorithms:Decoding -- On Algebraic Soft Decision Decoding of Cyclic Binary Codes -- Lifting Decoding Schemes over a Galois Ring -- Sufficient Conditions on Most Likely Local Sub-codewords in Recursive Maximum Likelihood Decoding Algorithms -- A Unifying System-Theoretic Framework for Errors-and-Erasures Reed-Solomon Decoding -- An Algorithm for Computing Rejection Probability of MLD with Threshold Test over BSC -- Algebraic Constructions -- Cartan's Characters and Stairs of Characteristic Sets -- On the Invariants of the Quotients of the Jacobian of a Curve of Genus 2 -- Algebraic Constructions for PSK Space-Time Coded Modulation.
Summary: This book constitutes the refereed proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-14, held in Melbourne, Australia in November 2001. The 36 revised full papers presented together with four invited papers were carefully reviewed and selected from 61 submissions. The papers are organized in topical sections on block codes, code constructions, codes and algebra - rings and fields, codes and algebra - algebraic geometry codes, sequences, cryptography, algorithms, algorithms - decoding, and algebraic constructions.
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This book constitutes the refereed proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-14, held in Melbourne, Australia in November 2001. The 36 revised full papers presented together with four invited papers were carefully reviewed and selected from 61 submissions. The papers are organized in topical sections on block codes, code constructions, codes and algebra - rings and fields, codes and algebra - algebraic geometry codes, sequences, cryptography, algorithms, algorithms - decoding, and algebraic constructions.

Invited Contributions -- The Ubiquity of Reed-Muller Codes -- Self-dual Codes-Theme and Variations -- Design of Differential Space-Time Codes Using Group Theory -- Ideal Error-Correcting Codes: Unifying Algebraic and Number-Theoretic Algorithms -- Block Codes -- Self-dual Codes Using Image Restoration Techniques -- Low Complexity Tail-Biting Trellises of Self-dual codes of Length 24, 32 and 40 over GF(2) and Z4 of Large Minimum Distance -- F q -Linear Cyclic Codes over F q m: DFT Characterization -- Code Constructions -- Cyclic Projective Reed-Muller Codes -- Codes Identifying Sets of Vertices -- Duality and Greedy Weights of Linear Codes and Projective Multisets -- Codes and Algebra:Rings and Fields -- Type II Codes over IF2r -- On Senary Simplex Codes -- Optimal Double Circulant Z4-Codes -- Constructions of Codes from Number Fields -- On Generalized Hamming Weights for Codes over Finite Chain Rings -- Information Rates and Weights of Codes in Structural Matrix Rings -- Codes and Algebra:Algebraic Geometry Codes -- On Hyperbolic Codes -- On Fast Interpolation Method for Guruswami-Sudan List Decoding of One-Point Algebraic-Geometry Codes -- Computing the Genus of a Class of Curves -- Sequences -- Iterations of Multivariate Polynomials and Discrepancy of Pseudorandom Numbers -- Even Length Binary Sequence Families with Low Negaperiodic Autocorrelation -- On the Non-existence of (Almost- )Perfect Quaternary Sequences -- Maximal Periods of x2 + c in Fq -- On the Aperiodic Correlation Function of Galois Ring m-Sequences -- Euclidean Modules and Multisequence Synthesis -- Cryptography -- On Homogeneous Bent Functions -- Partially Identifying Codes for Copyright Protection -- On the Generalised Hidden Number Problem and Bit Security of XTR -- CRYPTIM: Graphs as Tools for Symmetric Encryption -- Algorithms -- An Algorithm for Computing Cocyclic Matrices Developed over Some Semidirect Products -- Algorithms for Large Integer Matrix Problems -- On the Identification of Vertices and Edges Using Cycles -- Algorithms:Decoding -- On Algebraic Soft Decision Decoding of Cyclic Binary Codes -- Lifting Decoding Schemes over a Galois Ring -- Sufficient Conditions on Most Likely Local Sub-codewords in Recursive Maximum Likelihood Decoding Algorithms -- A Unifying System-Theoretic Framework for Errors-and-Erasures Reed-Solomon Decoding -- An Algorithm for Computing Rejection Probability of MLD with Threshold Test over BSC -- Algebraic Constructions -- Cartan's Characters and Stairs of Characteristic Sets -- On the Invariants of the Quotients of the Jacobian of a Curve of Genus 2 -- Algebraic Constructions for PSK Space-Time Coded Modulation.

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