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Mathematical properties of sequences and other combinatorial structures

By: Contributor(s): Material type: TextTextLanguage: English Series: Kluwer international series in engineering and computer sciencePublication details: Boston Kluwer Academic Publishers 2003.Description: xiii, 248p. illISBN:
  • 1402074034 (HB)
Subject(s):
Contents:
Introduction / Elwyn Berlekamp Pairs of m-Sequences with a Six-Valued Crosscorrelation / Tor Helleseth Permutation Polynomials, Tuscan-k Arrays and Costas Sequences / Wensong Chu Periods of Piecewise-Linear Recurrences / Basil Gordon Trace Representation of Hall's Sextic Residue Sequences of Period p [actual symbol not reproducible] 7 (mod 8) / Jeong-Heon Kim, Hong-Yeop Song and Guang Gong Array Correlation and Sequences with Equal Magnitude Correlation / Guang Gong Singly Periodic Costas Arrays are Equivalent to Polygonal Path Vatican Squares / Herbert Taylor Survey on Costas Arrays and their Generalizations / Oscar Moreno On p-Ary Bent Functions Defined on Finite Fields / Young-Sik Kim, Ji-Woong Jang, Jong-Seon No and Tor Helleseth Distribution of r-Patterns in the Highest Level of p-Adic Expansion of Some Linear Recursion Sequences Over Galois Rings / Zongduo Dai, Dingfeng Ye, Ping Wang and Genxi Fang On Edit Distance Attack to Alternating Step Generator / Shaoquan Jiang and Guang Gong Polyomino Number Theory (II) / Uidis Barbans, Andris Cibulis, Gilbert Lee, Andy Liu and Bob Wainwright Achievement Games for Polyominoes on Archimedean Tessellations / Jens-P. Bode and Heiko Harborth What's New in Polyomino Puzzles and their Design / Stewart Coffin and Jerry Slocum Euler Sums Revisited / Tom M. Apostol Hardy-Littlewood Constants / Keith Conrad On the Parity of Permutation / David Singmaster Irreducibles of Tetranomial Type / Alfred W. Hales and Donald W. Newhart A Method of Deterministically Generating Block Substitution Tables Which Meet a Given Standard of Nonlinearity / Lothrop Mittenthal Tilings with Generalized Lee Spheres / Tuvi Etzion On the Connections between RSA Cryptosystem and the Fibonacci Numbers / Jozsef Denes and Tamas Denes Removing Autocorrelation Sidelobes by Overlaying Orthogonal Coding on Any Train of Identical Pulses / Nadav Levanon and Eli Mozeson. An Analytic Cache Performance Model / J.J. Stiffler PN Signal Acquisition and Convolution Via the Characters of the Additive Group / Lloyd R. Welch Golomb's Reminiscences / Solomon W. Golomb
Summary: Mathematical Properties of Sequences and Other Combinatorial Structures is an excellent reference for both professional and academic researchers working in telecommunications, cryptography, signal processing, discrete mathematics, and information theory.
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IMSc Library 519.7(082)“2003"NO (Browse shelf(Opens below)) Available 50538

Includes index.

Introduction / Elwyn Berlekamp
Pairs of m-Sequences with a Six-Valued Crosscorrelation / Tor Helleseth
Permutation Polynomials, Tuscan-k Arrays and Costas Sequences / Wensong Chu
Periods of Piecewise-Linear Recurrences / Basil Gordon
Trace Representation of Hall's Sextic Residue Sequences of Period p [actual symbol not reproducible] 7 (mod 8) / Jeong-Heon Kim, Hong-Yeop Song and Guang Gong
Array Correlation and Sequences with Equal Magnitude Correlation / Guang Gong
Singly Periodic Costas Arrays are Equivalent to Polygonal Path Vatican Squares / Herbert Taylor
Survey on Costas Arrays and their Generalizations / Oscar Moreno
On p-Ary Bent Functions Defined on Finite Fields / Young-Sik Kim, Ji-Woong Jang, Jong-Seon No and Tor Helleseth
Distribution of r-Patterns in the Highest Level of p-Adic Expansion of Some Linear Recursion Sequences Over Galois Rings / Zongduo Dai, Dingfeng Ye, Ping Wang and Genxi Fang
On Edit Distance Attack to Alternating Step Generator / Shaoquan Jiang and Guang Gong
Polyomino Number Theory (II) / Uidis Barbans, Andris Cibulis, Gilbert Lee, Andy Liu and Bob Wainwright
Achievement Games for Polyominoes on Archimedean Tessellations / Jens-P. Bode and Heiko Harborth
What's New in Polyomino Puzzles and their Design / Stewart Coffin and Jerry Slocum
Euler Sums Revisited / Tom M. Apostol
Hardy-Littlewood Constants / Keith Conrad
On the Parity of Permutation / David Singmaster
Irreducibles of Tetranomial Type / Alfred W. Hales and Donald W. Newhart
A Method of Deterministically Generating Block Substitution Tables Which Meet a Given Standard of Nonlinearity / Lothrop Mittenthal
Tilings with Generalized Lee Spheres / Tuvi Etzion
On the Connections between RSA Cryptosystem and the Fibonacci Numbers / Jozsef Denes and Tamas Denes
Removing Autocorrelation Sidelobes by Overlaying Orthogonal Coding on Any Train of Identical Pulses / Nadav Levanon and Eli Mozeson. An Analytic Cache Performance Model / J.J. Stiffler
PN Signal Acquisition and Convolution Via the Characters of the Additive Group / Lloyd R. Welch
Golomb's Reminiscences / Solomon W. Golomb

Mathematical Properties of Sequences and Other Combinatorial Structures is an excellent reference for both professional and academic researchers working in telecommunications, cryptography, signal processing, discrete mathematics, and information theory.

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The Institute of Mathematical Sciences, Chennai, India