MinT - Information on Result #2160359

Information on Result #2160359

There is no linear OA(3¹³⁵, 142, F₃, 91) (dual of [142, 7, 92]-code), because 1 times truncation would yield linear OA(3¹³⁴, 141, F₃, 90) (dual of [141, 7, 91]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(3¹³³, 138, F₃, 90) (dual of [138, 5, 91]-code), but
  - Griesmer bound [i]
2. linear OA(3⁷, 141, F₃, 3) (dual of [141, 134, 4]-code or 141-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.