Information on Result #2160129

There is no linear OA(318, 22, F3, 13) (dual of [22, 4, 14]-code), because 1 times truncation would yield linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-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.

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(357, 62, F3, 39) (dual of [62, 5, 40]-code) [i]Residual Code
2No linear OA(319, 31, F3, 13) (dual of [31, 12, 14]-code) [i]Construction Y1 (Bound)
3Linear OA(38, 27, F3, 5) (dual of [27, 19, 6]-code) [i]Dual Code (with Bound on d by Construction Y1)