MinT - Information on Result #599848

Information on Result #599848

There is no digital (21, 173, 179)-net over F₈, because extracting embedded orthogonal array would yield linear OA(8¹⁷³, 179, F₈, 152) (dual of [179, 6, 153]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(8¹⁷², 175, F₈, 152) (dual of [175, 3, 153]-code), but
  - Griesmer bound [i]
2. OA(8⁶, 179, S₈, 4), but
  - discarding factors would yield OA(8⁶, 104, S₈, 4), but
    - the Rao or (dual) Hamming bound shows that MÂ â‰¥ 263173 > 8⁶ [i]

Mode: Bound (linear).

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.