Mathematical Properties of Sequences and Other Combinatorial Structures

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