Information on Result #548000

There is no linear OA(8121, 236, F8, 103) (dual of [236, 115, 104]-code), because construction Y1 would yield
  1. OA(8120, 138, S8, 103), but
    • the linear programming bound shows that M ≥ 111645 453241 746255 920862 684222 479803 153865 164146 020446 912158 451311 961713 255226 562612 641032 127218 234498 669820 214273 467205 287936 / 44751 440946 265625 > 8120 [i]
  2. OA(8115, 236, S8, 98), but
    • discarding factors would yield OA(8115, 147, S8, 98), but
      • the linear programming bound shows that M ≥ 599345 416299 388973 235507 022177 177118 046850 911577 140306 689015 460811 889080 427692 784047 046445 821063 607212 795117 279723 192210 808892 966020 579328 / 7743 507384 508665 125912 260586 578125 > 8115 [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 OOA(8121, 236, F8, 2, 103) (dual of [(236, 2), 351, 104]-NRT-code) [i]Depth Reduction
2No linear OOA(8121, 236, F8, 3, 103) (dual of [(236, 3), 587, 104]-NRT-code) [i]
3No digital (18, 121, 236)-net over F8 [i]Extracting Embedded Orthogonal Array
4No linear OA(8127, 248, F8, 108) (dual of [248, 121, 109]-code) [i]Construction Y1 (Bound)