Abstract
We characterize one-dimensional subspaces of three-dimensional space over a finite field of odd prime order, containing a vector whose coordinates are constrained to half of the nonzero residue classes.
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Kresch, A. On the spaces generated by vectors with coordinates in incomplete residue systems. Res Math Sci 5, 36 (2018). https://doi.org/10.1007/s40687-018-0154-0
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DOI: https://doi.org/10.1007/s40687-018-0154-0