Information on Result #719201

Linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22

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(955, 501, F9, 2, 21) (dual of [(501, 2), 947, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(955, 501, F9, 3, 21) (dual of [(501, 3), 1448, 22]-NRT-code) [i]
3Digital (34, 55, 501)-net over F9 [i]
4Linear OA(966, 761, F9, 21) (dual of [761, 695, 22]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(987, 775, F9, 27) (dual of [775, 688, 28]-code) [i]✔
6Linear OA(963, 742, F9, 23) (dual of [742, 679, 24]-code) [i]✔
7Linear OA(958, 734, F9, 22) (dual of [734, 676, 23]-code) [i]✔
8Linear OA(967, 745, F9, 24) (dual of [745, 678, 25]-code) [i]✔
9Linear OA(962, 738, F9, 23) (dual of [738, 676, 24]-code) [i]✔
10Linear OA(9100, 785, F9, 30) (dual of [785, 685, 31]-code) [i]✔
11Linear OA(999, 783, F9, 30) (dual of [783, 684, 31]-code) [i]✔
12Linear OA(984, 766, F9, 27) (dual of [766, 682, 28]-code) [i]✔
13Linear OA(972, 751, F9, 25) (dual of [751, 679, 26]-code) [i]✔
14Linear OA(966, 741, F9, 24) (dual of [741, 675, 25]-code) [i]✔
15Linear OA(998, 780, F9, 30) (dual of [780, 682, 31]-code) [i]✔
16Linear OA(997, 778, F9, 30) (dual of [778, 681, 31]-code) [i]✔
17Linear OA(976, 751, F9, 26) (dual of [751, 675, 27]-code) [i]✔
18Linear OA(971, 747, F9, 25) (dual of [747, 676, 26]-code) [i]✔
19Linear OA(981, 760, F9, 27) (dual of [760, 679, 28]-code) [i]✔
20Linear OA(976, 752, F9, 26) (dual of [752, 676, 27]-code) [i]✔
21Linear OA(980, 756, F9, 27) (dual of [756, 676, 28]-code) [i]✔
22Linear OA(994, 770, F9, 30) (dual of [770, 676, 31]-code) [i]✔
23Linear OA(992, 765, F9, 30) (dual of [765, 673, 31]-code) [i]✔
24Linear OA(991, 763, F9, 30) (dual of [763, 672, 31]-code) [i]✔
25Linear OA(961, 734, F9, 23) (dual of [734, 673, 24]-code) [i]✔
26Linear OA(965, 738, F9, 24) (dual of [738, 673, 25]-code) [i]✔
27Linear OA(969, 741, F9, 25) (dual of [741, 672, 26]-code) [i]✔
28Linear OA(974, 747, F9, 26) (dual of [747, 673, 27]-code) [i]✔
29Linear OA(979, 752, F9, 27) (dual of [752, 673, 28]-code) [i]✔
30Linear OA(969, 742, F9, 25) (dual of [742, 673, 26]-code) [i]✔
31Linear OA(973, 745, F9, 26) (dual of [745, 672, 27]-code) [i]✔
32Linear OA(978, 751, F9, 27) (dual of [751, 673, 28]-code) [i]✔
33Linear OA(998, 765, F9, 32) (dual of [765, 667, 33]-code) [i]✔
34Linear OA(997, 763, F9, 32) (dual of [763, 666, 33]-code) [i]✔
35Linear OA(9102, 768, F9, 33) (dual of [768, 666, 34]-code) [i]✔
36Linear OA(9107, 774, F9, 34) (dual of [774, 667, 35]-code) [i]✔
37Linear OA(9106, 772, F9, 34) (dual of [772, 666, 35]-code) [i]✔
38Linear OA(9111, 777, F9, 35) (dual of [777, 666, 36]-code) [i]✔
39Linear OA(9118, 789, F9, 36) (dual of [789, 671, 37]-code) [i]✔
40Linear OA(9120, 790, F9, 37) (dual of [790, 670, 38]-code) [i]✔
41Linear OA(9118, 785, F9, 37) (dual of [785, 667, 38]-code) [i]✔
42Linear OA(9117, 783, F9, 37) (dual of [783, 666, 38]-code) [i]✔
43Linear OA(9123, 789, F9, 38) (dual of [789, 666, 39]-code) [i]✔