MinT - Information on Result #2160483

Information on Result #2160483

There is no linear OA(3¹⁵⁶, 163, F₃, 106) (dual of [163, 7, 107]-code), because 1 times truncation would yield linear OA(3¹⁵⁵, 162, F₃, 105) (dual of [162, 7, 106]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(3¹⁵⁴, 159, F₃, 105) (dual of [159, 5, 106]-code), but
  - Griesmer bound [i]
2. linear OA(3⁷, 162, F₃, 3) (dual of [162, 155, 4]-code or 162-cap in PG(6,3)), but
  - discarding factors / shortening the dual code would yield linear OA(3⁷, 137, F₃, 3) (dual of [137, 130, 4]-code or 137-cap in PG(6,3)), but
    - a result by BarÃ¡t, Edel, Hill, and Storme [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.