Bio-inspired neural computation attracts a lot of attention as a possible solution for the future challenges in designing computational resources. Dynamic neural fields (DNF) provide cortically inspired models of neural populations which computation can be applied to a wide variety of tasks, such as perception and sensorimotor control. DNFs are often derived from the continuous neural field theory (CNFT). In spite of the parallel structure and regularity of CNFT models, few studies of hardware implementations have been carried out targeting embedded real-time processing. In this paper, a hardware-friendly model adapted from the CNFT is introduced, namely the RSDNF model (randomly spiking dynamic neural fields). Thanks to their simplified 2D structure, RSDNFs achieve scalable parallel implementations on digital hardware while maintaining the behavioral properties of CNFT models. Spike-based computations within neurons in the field are introduced to reduce inter-neuron connection bandwidth. Additionally, local stochastic spike propagation ensures inhibition and excitation broadcast without a fully connected network. The behavioral soundness and robustness of the model in the presence of noise and distracters is fully validated through software and hardware. A field programmable gate array (FPGA) implementation shows how the RSDNF model ensures a level of density and scalability out of reach for previous hardware implementations of dynamic neural field models.