MinT - Information on Result #2172175

Information on Result #2172175

There is no linear OA(16¹⁶, 77, F₁₆, 15) (dual of [77, 61, 16]-code), because 1 times truncation would yield linear OA(16¹⁵, 76, F₁₆, 14) (dual of [76, 61, 15]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(16¹⁴, 18, F₁₆, 14) (dual of [18, 4, 15]-code or 18-arc in PG(13,16)), but
  - bound for MDS codes [i]
2. OA(16⁶¹, 76, S₁₆, 58), but
  - discarding factors would yield OA(16⁶¹, 65, S₁₆, 58), but
    - the linear programming bound shows that MÂ â‰¥ 159214 122701 309768 707410 104386 945873 298246 228915 255775 554254 178010 880553 254912 / 5487 > 16⁶¹ [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.