Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
On the classification of all self-dual additive codes over GF(4) of length up to 12
Journal of Combinatorial Theory Series A
There are no Barker arrays having more than two dimensions
Designs, Codes and Cryptography
The finite Heisenberg-Weyl groups in radar and communications
EURASIP Journal on Applied Signal Processing
Golay complementary array pairs
Designs, Codes and Cryptography
A multi-dimensional approach to the construction and enumeration of Golay complementary sequences
Journal of Combinatorial Theory Series A
Equiangular lines, mutually unbiased bases, and spin models
European Journal of Combinatorics
Aperiodic propagation criteria for Boolean functions
Information and Computation
Univariate and multivariate merit factors
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
Quantum error correction via codes over GF(4)
IEEE Transactions on Information Theory
Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes
IEEE Transactions on Information Theory
On cosets of the generalized first-order reed-muller code with low PMEPR
IEEE Transactions on Information Theory
Generalized Bent Criteria for Boolean Functions (I)
IEEE Transactions on Information Theory
Generalised complementary arrays
IMACC'11 Proceedings of the 13th IMA international conference on Cryptography and Coding
| Hi-index | 0.01 |
Complex arrays with good aperiodic properties are characterised and it is shown how the joining of dimensions can generate sequences which retain the aperiodic properties of the parent array. For the case of 2 ×2 ×...×2 arrays we define two new notions of aperiodicity by exploiting a unitary matrix represention. In particular, we apply unitary rotations by members of a size-3 cyclic subgroup of the local Clifford group to the aperiodic description. It is shown how the three notions of aperiodicity relate naturally to the autocorrelations described by the action of the Heisenberg-Weyl group. Finally, after providing some cryptographic motivation for two of the three aperiodic descriptions, we devise new constructions for complementary pairs of Boolean functions of three different kinds, and give explicit examples for each.