Information on Result #13661

There is no OA(39, 100, S3, 4), because the Rao or (dual) Hamming bound shows that M ≥ 20001 > 39

Mode: Bound.

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

The following results depend on this result:

ResultThis
result
only
Method
1No linear OA(394, 103, F3, 63) (dual of [103, 9, 64]-code) [i]Construction Y1 (Bound)
2No linear OA(391, 100, F3, 61) (dual of [100, 9, 62]-code) [i]
3No linear OA(3108, 117, F3, 72) (dual of [117, 9, 73]-code) [i]
4No linear OA(3162, 171, F3, 108) (dual of [171, 9, 109]-code) [i]
5No linear OA(3166, 175, F3, 111) (dual of [175, 9, 112]-code) [i]
6No linear OA(3170, 179, F3, 114) (dual of [179, 9, 115]-code) [i]
7No linear OA(3175, 184, F3, 117) (dual of [184, 9, 118]-code) [i]
8No linear OA(3179, 188, F3, 120) (dual of [188, 9, 121]-code) [i]