Information on Result #677700

Linear OA(333, 82, F3, 13) (dual of [82, 49, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 38−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)

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(342, 91, F3, 15) (dual of [91, 49, 16]-code) [i]Construction X with Cyclic Codes
2Linear OA(337, 92, F3, 13) (dual of [92, 55, 14]-code) [i]
3Linear OA(338, 95, F3, 13) (dual of [95, 57, 14]-code) [i]
4Linear OA(335, 86, F3, 12) (dual of [86, 51, 13]-code) [i]
5Linear OA(336, 93, F3, 12) (dual of [93, 57, 13]-code) [i]
6Linear OA(338, 96, F3, 12) (dual of [96, 58, 13]-code) [i]Construction XX with a Chain of Cyclic Codes