Information on Result #548216

There is no linear OA(341, 47, F3, 28) (dual of [47, 6, 29]-code), because “HJ” bound on codes from Brouwer’s database

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.

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(342, 48, F3, 29) (dual of [48, 6, 30]-code) [i]Truncation
2No linear OOA(341, 47, F3, 2, 28) (dual of [(47, 2), 53, 29]-NRT-code) [i]Depth Reduction
3No linear OOA(341, 47, F3, 3, 28) (dual of [(47, 3), 100, 29]-NRT-code) [i]
4No linear OOA(341, 47, F3, 4, 28) (dual of [(47, 4), 147, 29]-NRT-code) [i]
5No linear OOA(341, 47, F3, 5, 28) (dual of [(47, 5), 194, 29]-NRT-code) [i]
6No linear OA(3125, 132, F3, 84) (dual of [132, 7, 85]-code) [i]Residual Code
7No linear OA(342, 53, F3, 28) (dual of [53, 11, 29]-code) [i]Construction Y1 (Bound)