Information on Result #719050

Linear OA(937, 728, F9, 14) (dual of [728, 691, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15

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.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(937, 476, F9, 2, 14) (dual of [(476, 2), 915, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(937, 476, F9, 3, 14) (dual of [(476, 3), 1391, 15]-NRT-code) [i]
3Digital (23, 37, 476)-net over F9 [i]
4Linear OA(944, 754, F9, 14) (dual of [754, 710, 15]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(945, 742, F9, 16) (dual of [742, 697, 17]-code) [i]✔
6Linear OA(940, 734, F9, 15) (dual of [734, 694, 16]-code) [i]✔
7Linear OA(949, 745, F9, 17) (dual of [745, 696, 18]-code) [i]✔
8Linear OA(944, 738, F9, 16) (dual of [738, 694, 17]-code) [i]✔
9Linear OA(954, 751, F9, 18) (dual of [751, 697, 19]-code) [i]✔
10Linear OA(948, 741, F9, 17) (dual of [741, 693, 18]-code) [i]✔
11Linear OA(953, 747, F9, 18) (dual of [747, 694, 19]-code) [i]✔
12Linear OA(976, 772, F9, 23) (dual of [772, 696, 24]-code) [i]✔
13Linear OA(975, 768, F9, 23) (dual of [768, 693, 24]-code) [i]✔
14Linear OA(974, 765, F9, 23) (dual of [765, 691, 24]-code) [i]✔
15Linear OA(973, 763, F9, 23) (dual of [763, 690, 24]-code) [i]✔
16Linear OA(943, 734, F9, 16) (dual of [734, 691, 17]-code) [i]✔
17Linear OA(947, 738, F9, 17) (dual of [738, 691, 18]-code) [i]✔
18Linear OA(951, 741, F9, 18) (dual of [741, 690, 19]-code) [i]✔
19Linear OA(951, 742, F9, 18) (dual of [742, 691, 19]-code) [i]✔
20Linear OA(980, 765, F9, 25) (dual of [765, 685, 26]-code) [i]✔
21Linear OA(979, 763, F9, 25) (dual of [763, 684, 26]-code) [i]✔
22Linear OA(984, 768, F9, 26) (dual of [768, 684, 27]-code) [i]✔
23Linear OA(990, 774, F9, 28) (dual of [774, 684, 29]-code) [i]✔
24Linear OA(984, 775, F9, 26) (dual of [775, 691, 27]-code) [i]✔
25Linear OA(989, 778, F9, 27) (dual of [778, 689, 28]-code) [i]✔
26Linear OA(995, 780, F9, 29) (dual of [780, 685, 30]-code) [i]✔
27Linear OA(994, 778, F9, 29) (dual of [778, 684, 30]-code) [i]✔
28Linear OA(9100, 785, F9, 30) (dual of [785, 685, 31]-code) [i]✔
29Linear OA(999, 783, F9, 30) (dual of [783, 684, 31]-code) [i]✔