MinT - Information on Result #3143211

Information on Result #3143211

There is no digital (8, 36, 31)-net over F₃, because 10 times m-reduction would yield digital (8, 26, 31)-net over F₃, but

extracting embedded orthogonal array [i] would yield linear OA(3²⁶, 31, F₃, 18) (dual of [31, 5, 19]-code), but
- residual code [i] would yield linear OA(3⁸, 12, F₃, 6) (dual of [12, 4, 7]-code), but
  - residual code [i] would yield linear OA(3², 5, F₃, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,3)), but
    - improvement by Maruta on the Griesmer bound [i]

Mode: Bound (linear).

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