Information on Result #547709

There is no linear OA(2216, 353, F2, 94) (dual of [353, 137, 95]-code), because construction Y1 would yield
  1. OA(2215, 299, S2, 94), but
    • adding a parity check bit [i] would yield OA(2216, 300, S2, 95), but
      • the linear programming bound shows that M ≥ 872407 680551 113098 866799 953294 886066 311827 924058 628412 428016 149220 115296 187426 023936 653562 740736 / 5 938078 052347 021578 779474 608305 > 2216 [i]
  2. linear OA(2137, 353, F2, 54) (dual of [353, 216, 55]-code), but

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(2217, 354, F2, 95) (dual of [354, 137, 96]-code) [i]Truncation
2No linear OOA(2217, 353, F2, 2, 95) (dual of [(353, 2), 489, 96]-NRT-code) [i]m-Reduction for OOAs
3No linear OOA(2216, 353, F2, 2, 94) (dual of [(353, 2), 490, 95]-NRT-code) [i]Depth Reduction
4No linear OOA(2216, 353, F2, 3, 94) (dual of [(353, 3), 843, 95]-NRT-code) [i]
5No linear OOA(2216, 353, F2, 4, 94) (dual of [(353, 4), 1196, 95]-NRT-code) [i]
6No linear OOA(2216, 353, F2, 5, 94) (dual of [(353, 5), 1549, 95]-NRT-code) [i]
7No linear OOA(2216, 353, F2, 6, 94) (dual of [(353, 6), 1902, 95]-NRT-code) [i]
8No linear OOA(2216, 353, F2, 7, 94) (dual of [(353, 7), 2255, 95]-NRT-code) [i]
9No linear OOA(2216, 353, F2, 8, 94) (dual of [(353, 8), 2608, 95]-NRT-code) [i]
10No digital (122, 216, 353)-net over F2 [i]Extracting Embedded Orthogonal Array