Information on Result #611659

Linear OA(331, 243, F3, 10) (dual of [243, 212, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10

Mode: Constructive and 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
1Linear OA(336, 248, F3, 11) (dual of [248, 212, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(332, 249, F3, 10) (dual of [249, 217, 11]-code) [i]✔
3Linear OA(342, 254, F3, 12) (dual of [254, 212, 13]-code) [i]✔
4Linear OA(344, 256, F3, 13) (dual of [256, 212, 14]-code) [i]✔
5Linear OA(334, 256, F3, 10) (dual of [256, 222, 11]-code) [i]✔
6Linear OA(351, 263, F3, 14) (dual of [263, 212, 15]-code) [i]✔
7Linear OA(343, 251, F3, 13) (dual of [251, 208, 14]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
8Linear OA(345, 259, F3, 12) (dual of [259, 214, 13]-code) [i]✔
9Linear OA(338, 251, F3, 11) (dual of [251, 213, 12]-code) [i]✔
10Linear OA(333, 251, F3, 10) (dual of [251, 218, 11]-code) [i]✔
11Linear OOA(331, 81, F3, 3, 10) (dual of [(81, 3), 212, 11]-NRT-code) [i]OOA Folding