MinT - Information on Result #2168346

Information on Result #2168346

There is no linear OA(5¹⁰⁰, 105, F₅, 81) (dual of [105, 5, 82]-code), because 1 times truncation would yield linear OA(5⁹⁹, 104, F₅, 80) (dual of [104, 5, 81]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(5⁹⁸, 101, F₅, 80) (dual of [101, 3, 81]-code), but
  - Griesmer bound [i]
2. linear OA(5⁵, 104, F₅, 3) (dual of [104, 99, 4]-code or 104-cap in PG(4,5)), but
  - discarding factors / shortening the dual code would yield linear OA(5⁵, 89, F₅, 3) (dual of [89, 84, 4]-code or 89-cap in PG(4,5)), but
    - a result by Edel, Storme, and Sziklai [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.