Ebook: Mathematical Properties of Sequences and Other Combinatorial Structures
- Tags: Electrical Engineering, Signal Image and Speech Processing, Computer Science general, Discrete Mathematics in Computer Science
- Series: The Springer International Series in Engineering and Computer Science 726
- Year: 2003
- Publisher: Springer US
- Edition: 1
- Language: English
- pdf
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.
The work represents a collection of contributions from leading experts in the field. Contributors have individually and collectively dedicated their work as a tribute to the outstanding work of Solomon W. Golomb.
Mathematical Properties of Sequences and Other Combinatorial Structures covers the latest advances in the widely used and rapidly developing field of information and communication technology.
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.
The work represents a collection of contributions from leading experts in the field. Contributors have individually and collectively dedicated their work as a tribute to the outstanding work of Solomon W. Golomb.
Mathematical Properties of Sequences and Other Combinatorial Structures covers the latest advances in the widely used and rapidly developing field of information and communication technology.
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.
The work represents a collection of contributions from leading experts in the field. Contributors have individually and collectively dedicated their work as a tribute to the outstanding work of Solomon W. Golomb.
Mathematical Properties of Sequences and Other Combinatorial Structures covers the latest advances in the widely used and rapidly developing field of information and communication technology.
Content:
Front Matter....Pages i-xiii
Pairs of M-Sequences with a Six-Valued Crosscorrelation....Pages 1-6
Permutation Polynomials, Tuscan-K Arrays and Costas Sequences....Pages 7-16
Periods of Piecewise-Linear Recurrences....Pages 17-22
Trace Representation of Hall’s Sextic Residue Sequences of Period P ? 7 (mod 8)....Pages 23-32
Array Correlation and Sequences with Equal Magnitude Correlation....Pages 33-43
Singly Periodic Costas Arrays are Equivalent to Polygonal Path Vatican Squares....Pages 45-53
Survey on Costas Arrays and Their Generalizations....Pages 55-64
On P-Ary Bent Functions Defined on Finite Fields....Pages 65-76
Distribution of R-Patterns in the Highest Level of P-Adic Expansion of Some Linear Recursion Sequences Over Galois Rings....Pages 77-83
On Edit Distance Attack to Alternating Step Generator....Pages 85-92
Polyomino Number Theory (II)....Pages 93-100
Achievement Games for Polyominoes on Archimedean Tessellations....Pages 101-112
What’s New in Polyomino Puzzles and Their Design....Pages 113-119
Euler Sums Revisited....Pages 121-132
Hardy-Littlewood Constants....Pages 133-154
On the Parity of a Permutation....Pages 155-157
Irreducibles of Tetranomial Type....Pages 159-168
A Method of Deterministically Generating Block Substitution Tables which Meet a Given Standard of Nonlinearity....Pages 169-180
Tilings with Generalized Lee Spheres....Pages 181-198
On the Connections Between RSA Cryptosystem and the Fibonacci Numbers....Pages 199-206
Removing Autocorrelation Sidelobes by Overlaying Orthogonal Coding on any Train of Identical Pulses....Pages 207-220
An Analytic Cache Performance Model....Pages 221-230
PN Signal Acquisition and Convolution Via the Characters of the Additive Group....Pages 231-234
Golomb’s Reminiscences....Pages 235-245
Back Matter....Pages 247-248
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.
The work represents a collection of contributions from leading experts in the field. Contributors have individually and collectively dedicated their work as a tribute to the outstanding work of Solomon W. Golomb.
Mathematical Properties of Sequences and Other Combinatorial Structures covers the latest advances in the widely used and rapidly developing field of information and communication technology.
Content:
Front Matter....Pages i-xiii
Pairs of M-Sequences with a Six-Valued Crosscorrelation....Pages 1-6
Permutation Polynomials, Tuscan-K Arrays and Costas Sequences....Pages 7-16
Periods of Piecewise-Linear Recurrences....Pages 17-22
Trace Representation of Hall’s Sextic Residue Sequences of Period P ? 7 (mod 8)....Pages 23-32
Array Correlation and Sequences with Equal Magnitude Correlation....Pages 33-43
Singly Periodic Costas Arrays are Equivalent to Polygonal Path Vatican Squares....Pages 45-53
Survey on Costas Arrays and Their Generalizations....Pages 55-64
On P-Ary Bent Functions Defined on Finite Fields....Pages 65-76
Distribution of R-Patterns in the Highest Level of P-Adic Expansion of Some Linear Recursion Sequences Over Galois Rings....Pages 77-83
On Edit Distance Attack to Alternating Step Generator....Pages 85-92
Polyomino Number Theory (II)....Pages 93-100
Achievement Games for Polyominoes on Archimedean Tessellations....Pages 101-112
What’s New in Polyomino Puzzles and Their Design....Pages 113-119
Euler Sums Revisited....Pages 121-132
Hardy-Littlewood Constants....Pages 133-154
On the Parity of a Permutation....Pages 155-157
Irreducibles of Tetranomial Type....Pages 159-168
A Method of Deterministically Generating Block Substitution Tables which Meet a Given Standard of Nonlinearity....Pages 169-180
Tilings with Generalized Lee Spheres....Pages 181-198
On the Connections Between RSA Cryptosystem and the Fibonacci Numbers....Pages 199-206
Removing Autocorrelation Sidelobes by Overlaying Orthogonal Coding on any Train of Identical Pulses....Pages 207-220
An Analytic Cache Performance Model....Pages 221-230
PN Signal Acquisition and Convolution Via the Characters of the Additive Group....Pages 231-234
Golomb’s Reminiscences....Pages 235-245
Back Matter....Pages 247-248
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