Mathematical Properties of Sequences and Other Combinatorial Structures

Preface. Introduction; E. Berlekamp. Pairs of m sequences with a six-valued crosscorrelation; T. Helleseth. Permutation polynomials, Tuscan-k arrays and Costas sequences; Wensong Chu. Periods of piecewise-linear recurrences; B. Gordon. Trace representation of Hall's sextic residue sequences of period p= 7 (mod 8); Jeong-Heon Kim, Hong-Yeop Song, Guang Gong. Array correlation and sequences with equal magnitude correlation; Guang Gong. Singly periodic Costas arrays are equivalent to polygonal path Vatican squares; H. Taylor. Survey on Costas arrays and their generalizations; O. Moreno. On p-ary bent functions defined on finite fields; Young-Sik Kim, Ji-Woong Jang, Jong-Seong No, T. 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, Genxi Fang. On edit distance attack to alternating step generator; Shaoquan Jiang, Guang Gong. Polyomino number theory (II); U. Barbans, A. Cibulis, G. Lee, A. Liu, R. Wainwright. Achievement games for polyomines on Archimedean tessellations; J.-P. Bode, H. Harborth. What's new in polyomino puzzles and their design; S. Coffin, J. Slocum. Euler sums revisited; T.M. Apostol. Hardy-Littlewood constants; K. Conrad. On the parity of permutation; D. Singmaster. Irreducibles of tetranomial type; A.W. Hales, D.W. Newhart. A method of deterministically generating block substitution tables which meet a given standard of nonlinearity; L. Mittenthal. Tilings with generalized Lee spheres; T. Etzion. On the connections between RSA cryptosystem and the Fibonacci numbers; J. Dénes, T. Dénes. Removing autocorrelation sidelobesby overlaying orthogonal coding on any train of identical pulses; N. Levanon, E. Mozeson. An analytic performance model; J.J. Stiffler. PN signal acquisition and convolution via the characters of the additive group; L.R. Welch. Golomb's reminiscences; S.W. Golomb. Index.