Information on Result #611658

Linear OA(325, 81, F3, 10) (dual of [81, 56, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, 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(3250, 6643, F3, 42) (dual of [6643, 6393, 43]-code) [i]Construction X with Cyclic Codes
2Linear OA(3250, 2269, F3, 48) (dual of [2269, 2019, 49]-code) [i]
3Linear OA(3250, 6642, F3, 43) (dual of [6642, 6392, 44]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(327, 83, F3, 11) (dual of [83, 56, 12]-code) [i]✔
5Linear OA(326, 86, F3, 10) (dual of [86, 60, 11]-code) [i]✔
6Linear OA(332, 88, F3, 12) (dual of [88, 56, 13]-code) [i]✔
7Linear OA(334, 90, F3, 13) (dual of [90, 56, 14]-code) [i]✔
8Linear OA(328, 92, F3, 10) (dual of [92, 64, 11]-code) [i]✔
9Linear OA(340, 96, F3, 14) (dual of [96, 56, 15]-code) [i]✔
10Linear OA(339, 94, F3, 14) (dual of [94, 55, 15]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
11Linear OA(342, 99, F3, 14) (dual of [99, 57, 15]-code) [i]✔
12Linear OA(333, 88, F3, 13) (dual of [88, 55, 14]-code) [i]✔
13Linear OA(335, 93, F3, 12) (dual of [93, 58, 13]-code) [i]✔
14Linear OA(336, 93, F3, 13) (dual of [93, 57, 14]-code) [i]✔
15Linear OA(334, 91, F3, 12) (dual of [91, 57, 13]-code) [i]✔
16Linear OA(329, 86, F3, 11) (dual of [86, 57, 12]-code) [i]✔
17Linear OA(327, 88, F3, 10) (dual of [88, 61, 11]-code) [i]✔
18Linear OA(328, 93, F3, 10) (dual of [93, 65, 11]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
19Linear OOA(325, 27, F3, 3, 10) (dual of [(27, 3), 56, 11]-NRT-code) [i]OOA Folding