In this paper, we introduce the generalized balancing sequence and its matrix. Then by using matrix, give a coding decoding method.

Programmable metasurfaces incorporating with tunable materials or components are emerging as an attractive option to realize reconfigurable manipulations of electromagnetic (EM) behaviors in real-time. Many efforts have been devoted the realization active EM metasurface and significant progress has achieved, showing their unprecedented ability arbitrarily manipulate wavefronts dynamic functions...

Lachaud, G., Artin-Schreier curves, exponential sums, and coding theory, Theoretical Computer Science 94 (1992) 295-310. This is a survey of some results recently obtained on the distribution of the weights of some classical linear codes on the one hand, such as the dual of the Melas code, and the geometric BCH codes discovered by Goppa (subfield subcodes of Goppa codes) on the other hand. Thes...