Information on Result #691143

Linear OA(978, 81, F9, 71) (dual of [81, 3, 72]-code), using an extension Ce(70) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,70], and designed minimum distance d ≥ |I|+1 = 71

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(988, 96, F9, 71) (dual of [96, 8, 72]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(990, 99, F9, 71) (dual of [99, 9, 72]-code) [i]✔
3Linear OA(998, 109, F9, 71) (dual of [109, 11, 72]-code) [i]✔
4Linear OA(9102, 115, F9, 71) (dual of [115, 13, 72]-code) [i]✔
5Linear OA(9105, 120, F9, 71) (dual of [120, 15, 72]-code) [i]✔
6Linear OA(9106, 122, F9, 71) (dual of [122, 16, 72]-code) [i]✔
7Linear OA(989, 98, F9, 71) (dual of [98, 9, 72]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
8Linear OA(997, 107, F9, 71) (dual of [107, 10, 72]-code) [i]✔
9Linear OA(995, 105, F9, 70) (dual of [105, 10, 71]-code) [i]✔
10Linear OA(988, 98, F9, 64) (dual of [98, 10, 65]-code) [i]✔
11Linear OA(9104, 118, F9, 71) (dual of [118, 14, 72]-code) [i]✔
12Linear OA(9100, 112, F9, 71) (dual of [112, 12, 72]-code) [i]✔
13Linear OOA(978, 27, F9, 3, 71) (dual of [(27, 3), 3, 72]-NRT-code) [i]OOA Folding