Information on Result #718459

Linear OA(978, 80, F9, 71) (dual of [80, 2, 72]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,70], and designed minimum distance d ≥ |I|+1 = 72

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(9104, 120, F9, 71) (dual of [120, 16, 72]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(9103, 118, F9, 71) (dual of [118, 15, 72]-code) [i]✔
3Linear OA(9102, 116, F9, 71) (dual of [116, 14, 72]-code) [i]✔
4Linear OA(9101, 114, F9, 71) (dual of [114, 13, 72]-code) [i]✔
5Linear OA(9102, 117, F9, 71) (dual of [117, 15, 72]-code) [i]✔
6Linear OA(9101, 115, F9, 71) (dual of [115, 14, 72]-code) [i]✔
7Linear OA(9100, 113, F9, 71) (dual of [113, 13, 72]-code) [i]✔
8Linear OA(999, 111, F9, 71) (dual of [111, 12, 72]-code) [i]✔
9Linear OA(9100, 114, F9, 71) (dual of [114, 14, 72]-code) [i]✔
10Linear OA(999, 112, F9, 71) (dual of [112, 13, 72]-code) [i]✔
11Linear OA(998, 110, F9, 71) (dual of [110, 12, 72]-code) [i]✔