Information on Result #547953

There is no linear OA(5117, 226, F5, 89) (dual of [226, 109, 90]-code), because construction Y1 would yield
  1. OA(5116, 143, S5, 89), but
    • the linear programming bound shows that M ≥ 2738 237588 593697 454668 762256 522048 887080 570758 264064 445890 203342 535984 543104 632393 806241 452693 939208 984375 / 2 228541 507840 976583 547528 > 5116 [i]
  2. OA(5109, 226, S5, 83), but
    • discarding factors would yield OA(5109, 147, S5, 83), but
      • the linear programming bound shows that M ≥ 97832 005097 623965 961965 091455 398251 491670 818930 622769 438002 739592 061328 226246 796901 932611 945085 227489 471435 546875 / 5 803319 642355 292721 815985 390811 721467 > 5109 [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

The following results depend on this result:

ResultThis
result
only		Method
1No linear OA(5118, 227, F5, 90) (dual of [227, 109, 91]-code) [i]Truncation
2No linear OOA(5118, 226, F5, 2, 90) (dual of [(226, 2), 334, 91]-NRT-code) [i]m-Reduction for OOAs
3No linear OOA(5117, 226, F5, 2, 89) (dual of [(226, 2), 335, 90]-NRT-code) [i]Depth Reduction
4No linear OOA(5117, 226, F5, 3, 89) (dual of [(226, 3), 561, 90]-NRT-code) [i]
5No digital (28, 117, 226)-net over F5 [i]Extracting Embedded Orthogonal Array
6No linear OA(5121, 238, F5, 92) (dual of [238, 117, 93]-code) [i]Construction Y1 (Bound)