Information on Result #718908

Linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {81,82,…,92}, and designed minimum distance d ≥ |I|+1 = 13

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.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(931, 408, F9, 2, 12) (dual of [(408, 2), 785, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(931, 408, F9, 3, 12) (dual of [(408, 3), 1193, 13]-NRT-code) [i]
3Digital (19, 31, 408)-net over F9 [i]
4Linear OA(938, 753, F9, 12) (dual of [753, 715, 13]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(936, 747, F9, 12) (dual of [747, 711, 13]-code) [i]✔
6Linear OA(933, 739, F9, 12) (dual of [739, 706, 13]-code) [i]✔
7Linear OA(961, 768, F9, 18) (dual of [768, 707, 19]-code) [i]✔
8Linear OA(967, 771, F9, 20) (dual of [771, 704, 21]-code) [i]✔
9Linear OA(966, 769, F9, 20) (dual of [769, 703, 21]-code) [i]✔
10Linear OA(965, 766, F9, 20) (dual of [766, 701, 21]-code) [i]✔
11Linear OA(964, 764, F9, 20) (dual of [764, 700, 21]-code) [i]✔
12Linear OA(963, 761, F9, 20) (dual of [761, 698, 21]-code) [i]✔
13Linear OA(962, 759, F9, 20) (dual of [759, 697, 21]-code) [i]✔
14Linear OA(970, 765, F9, 22) (dual of [765, 695, 23]-code) [i]✔
15Linear OA(969, 763, F9, 22) (dual of [763, 694, 23]-code) [i]✔
16Linear OA(974, 768, F9, 23) (dual of [768, 694, 24]-code) [i]✔
17Linear OA(979, 774, F9, 24) (dual of [774, 695, 25]-code) [i]✔
18Linear OA(978, 772, F9, 24) (dual of [772, 694, 25]-code) [i]✔
19Linear OA(983, 777, F9, 25) (dual of [777, 694, 26]-code) [i]✔
20Linear OA(988, 783, F9, 26) (dual of [783, 695, 27]-code) [i]✔
21Linear OA(987, 781, F9, 26) (dual of [781, 694, 27]-code) [i]✔