This paper proposes a new way to realize a maximum-SINR beamformer for block-based cyclically prefixed single-carrier modulation. Here, SINR stands for 'signal to interference plus noise' ratio, at the beamformer output. This spatial beamformer will 'blindly' pass the signal-of-interest; and this beamformer will 'blindly' null any co-channel interference, any adjacent-channel interference, any out-of-system interference, and/or any spatio-temporally correlated additive noises. This proposed scheme is made possible by zero-padding an insufficient guard interval, which may be shorter than the temporally spreading channel's order. The proposed receiver will first undergo frequency-domain equalization, to 'clear' the data of any signal-of-interest's energy in the zero-padded guard interval, in order to facilitate the estimation of the interference and noise. This interference-and-noise estimate will then be eigen-subtracted from the signal-and-interferenceand- noise dataset by the aforementioned 'blind' beamformer in the spatial dimension.