Ternary parallelogram scales are MOS substitution: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
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as φ is a homomorphism. Hence corresponding elements of any two ''m'' × ''n'' windows get the same {{nowrap|ℤ/''mn''ℤ}} labeling under φ modulo a shift.
as φ is a homomorphism. Hence corresponding elements of any two ''m'' × ''n'' windows get the same {{nowrap|ℤ/''mn''ℤ}} labeling under φ modulo a shift.


=== Step 3: By ternarity, exactly one of the 1-step vectors is parallel to a coordinate axis ===
=== Step 3: By ternarity, one of the 1-step vectors is parallel to a coordinate axis ===
Consider the following four "quadrants":
Consider the following four "quadrants":
# ''Q''<sub>1</sub> = [0 : ''m''] × [0 : ''n'']
# ''Q''<sub>1</sub> = [0 : ''m''] × [0 : ''n'']