MinT - Information on Result #2169732

Information on Result #2169732

There is no linear OA(8¹⁵¹, 157, F₈, 133) (dual of [157, 6, 134]-code), because 5 times truncation would yield linear OA(8¹⁴⁶, 152, F₈, 128) (dual of [152, 6, 129]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(8¹⁴⁵, 148, F₈, 128) (dual of [148, 3, 129]-code), but
  - Griesmer bound [i]
2. OA(8⁶, 152, 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.