Information on Result #615625

Linear OA(930, 81, F9, 17) (dual of [81, 51, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(934, 85, F9, 20) (dual of [85, 51, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(930, 83, F9, 17) (dual of [83, 53, 18]-code) [i]✔
3Linear OA(936, 87, F9, 21) (dual of [87, 51, 22]-code) [i]✔
4Linear OA(931, 86, F9, 17) (dual of [86, 55, 18]-code) [i]✔
5Linear OA(939, 90, F9, 22) (dual of [90, 51, 23]-code) [i]✔
6Linear OA(932, 89, F9, 17) (dual of [89, 57, 18]-code) [i]✔
7Linear OA(943, 94, F9, 23) (dual of [94, 51, 24]-code) [i]✔
8Linear OA(933, 91, F9, 17) (dual of [91, 58, 18]-code) [i]✔
9Linear OA(946, 97, F9, 24) (dual of [97, 51, 25]-code) [i]✔
10Linear OA(949, 99, F9, 25) (dual of [99, 50, 26]-code) [i]✔
11Linear OA(942, 92, F9, 23) (dual of [92, 50, 24]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(940, 92, F9, 22) (dual of [92, 52, 23]-code) [i]✔