MinT - Information on Result #577545

Information on Result #577545

There is no linear OOA(8¹⁷³, 170, F₈, 3, 153) (dual of [(170, 3), 337, 154]-NRT-code), because 1 times depth reduction would yield linear OOA(8¹⁷³, 170, F₈, 2, 153) (dual of [(170, 2), 167, 154]-NRT-code), but

9 step m-reduction [i] would yield linear OA(8¹⁶⁴, 170, F₈, 144) (dual of [170, 6, 145]-code), but
- constructionÂ Y1 [i] would yield
  1. linear OA(8¹⁶³, 166, F₈, 144) (dual of [166, 3, 145]-code), but
    - Griesmer bound [i]
  2. OA(8⁶, 170, 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.