# Group invariant weighing matrices

@article{Tan2018GroupIW, title={Group invariant weighing matrices}, author={Ming Ming Tan}, journal={Designs, Codes and Cryptography}, year={2018}, volume={86}, pages={2677-2702} }

We investigate the existence problem of group invariant matrices using algebraic approaches. We extend the usual concept of multipliers to group rings with cyclotomic integers as coefficients. This concept is combined with the field descent method and rational idempotents to develop new non-existence results.

#### 3 Citations

A feasibility approach for constructing combinatorial designs of circulant type

- Mathematics, Computer Science
- J. Comb. Optim.
- 2018

This work proposes an optimization approach for constructing various classes of circulant combinatorial designs that can be defined in terms of autocorrelation, and explicitly construct two newcirculant weighing matrices, whose existence was previously marked as unresolved in the most recent version of Strassler’s table. Expand

New nonexistence results on circulant weighing matrices

- Computer Science, Mathematics
- Cryptogr. Commun.
- 2021

Six cases are resolved, showing that there are no weight 81 CW matrices for n=110, $130, $143, or $154, and also no $CW(116,49)$ or $ CW(143,36)$. Expand

Recent Applications

- 2021

TorqSense transducers from Sensor Technology are playing a key role in the development of commercial-scale in-stream tidal turbines produced by Irish company, OpenHydro. They are being used to test… Expand

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