Information on Result #719247

Linear OA(958, 728, F9, 22) (dual of [728, 670, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23

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(958, 534, F9, 2, 22) (dual of [(534, 2), 1010, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(958, 534, F9, 3, 22) (dual of [(534, 3), 1544, 23]-NRT-code) [i]
3Digital (36, 58, 534)-net over F9 [i]
4Linear OA(971, 766, F9, 22) (dual of [766, 695, 23]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(966, 742, F9, 24) (dual of [742, 676, 25]-code) [i]✔
6Linear OA(961, 734, F9, 23) (dual of [734, 673, 24]-code) [i]✔
7Linear OA(970, 745, F9, 25) (dual of [745, 675, 26]-code) [i]✔
8Linear OA(965, 738, F9, 24) (dual of [738, 673, 25]-code) [i]✔
9Linear OA(9103, 785, F9, 31) (dual of [785, 682, 32]-code) [i]✔
10Linear OA(9102, 783, F9, 31) (dual of [783, 681, 32]-code) [i]✔
11Linear OA(975, 751, F9, 26) (dual of [751, 676, 27]-code) [i]✔
12Linear OA(969, 741, F9, 25) (dual of [741, 672, 26]-code) [i]✔
13Linear OA(979, 751, F9, 27) (dual of [751, 672, 28]-code) [i]✔
14Linear OA(974, 747, F9, 26) (dual of [747, 673, 27]-code) [i]✔
15Linear OA(979, 752, F9, 27) (dual of [752, 673, 28]-code) [i]✔
16Linear OA(997, 770, F9, 31) (dual of [770, 673, 32]-code) [i]✔
17Linear OA(996, 768, F9, 31) (dual of [768, 672, 32]-code) [i]✔
18Linear OA(995, 765, F9, 31) (dual of [765, 670, 32]-code) [i]✔
19Linear OA(994, 763, F9, 31) (dual of [763, 669, 32]-code) [i]✔
20Linear OA(964, 734, F9, 24) (dual of [734, 670, 25]-code) [i]✔
21Linear OA(968, 738, F9, 25) (dual of [738, 670, 26]-code) [i]✔
22Linear OA(972, 741, F9, 26) (dual of [741, 669, 27]-code) [i]✔
23Linear OA(977, 747, F9, 27) (dual of [747, 670, 28]-code) [i]✔
24Linear OA(972, 742, F9, 26) (dual of [742, 670, 27]-code) [i]✔
25Linear OA(976, 745, F9, 27) (dual of [745, 669, 28]-code) [i]✔
26Linear OA(9101, 765, F9, 33) (dual of [765, 664, 34]-code) [i]✔
27Linear OA(9100, 763, F9, 33) (dual of [763, 663, 34]-code) [i]✔
28Linear OA(9105, 768, F9, 34) (dual of [768, 663, 35]-code) [i]✔
29Linear OA(9110, 774, F9, 35) (dual of [774, 664, 36]-code) [i]✔
30Linear OA(9109, 772, F9, 35) (dual of [772, 663, 36]-code) [i]✔
31Linear OA(9105, 775, F9, 34) (dual of [775, 670, 35]-code) [i]✔
32Linear OA(9110, 778, F9, 35) (dual of [778, 668, 36]-code) [i]✔
33Linear OA(9116, 784, F9, 36) (dual of [784, 668, 37]-code) [i]✔
34Linear OA(9116, 780, F9, 37) (dual of [780, 664, 38]-code) [i]✔
35Linear OA(9114, 778, F9, 36) (dual of [778, 664, 37]-code) [i]✔
36Linear OA(9123, 790, F9, 38) (dual of [790, 667, 39]-code) [i]✔
37Linear OA(9121, 785, F9, 38) (dual of [785, 664, 39]-code) [i]✔
38Linear OA(9120, 783, F9, 38) (dual of [783, 663, 39]-code) [i]✔