Information on Result #720218

Linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32

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(982, 659, F9, 2, 31) (dual of [(659, 2), 1236, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(982, 659, F9, 3, 31) (dual of [(659, 3), 1895, 32]-NRT-code) [i]
3Digital (51, 82, 659)-net over F9 [i]
4Linear OA(990, 742, F9, 33) (dual of [742, 652, 34]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(985, 734, F9, 32) (dual of [734, 649, 33]-code) [i]✔
6Linear OA(9129, 789, F9, 40) (dual of [789, 660, 41]-code) [i]✔
7Linear OA(994, 745, F9, 34) (dual of [745, 651, 35]-code) [i]✔
8Linear OA(989, 738, F9, 33) (dual of [738, 649, 34]-code) [i]✔
9Linear OA(9129, 790, F9, 40) (dual of [790, 661, 41]-code) [i]✔
10Linear OA(9127, 785, F9, 40) (dual of [785, 658, 41]-code) [i]✔
11Linear OA(9126, 783, F9, 40) (dual of [783, 657, 41]-code) [i]✔
12Linear OA(999, 751, F9, 35) (dual of [751, 652, 36]-code) [i]✔
13Linear OA(993, 741, F9, 34) (dual of [741, 648, 35]-code) [i]✔
14Linear OA(9103, 751, F9, 36) (dual of [751, 648, 37]-code) [i]✔
15Linear OA(998, 747, F9, 35) (dual of [747, 649, 36]-code) [i]✔
16Linear OA(9103, 752, F9, 36) (dual of [752, 649, 37]-code) [i]✔
17Linear OA(9121, 770, F9, 40) (dual of [770, 649, 41]-code) [i]✔
18Linear OA(9120, 768, F9, 40) (dual of [768, 648, 41]-code) [i]✔
19Linear OA(9119, 765, F9, 40) (dual of [765, 646, 41]-code) [i]✔
20Linear OA(9118, 763, F9, 40) (dual of [763, 645, 41]-code) [i]✔
21Linear OA(988, 734, F9, 33) (dual of [734, 646, 34]-code) [i]✔
22Linear OA(992, 738, F9, 34) (dual of [738, 646, 35]-code) [i]✔
23Linear OA(996, 741, F9, 35) (dual of [741, 645, 36]-code) [i]✔
24Linear OA(9101, 747, F9, 36) (dual of [747, 646, 37]-code) [i]✔
25Linear OA(996, 742, F9, 35) (dual of [742, 646, 36]-code) [i]✔
26Linear OA(9100, 745, F9, 36) (dual of [745, 645, 37]-code) [i]✔
27Linear OA(9125, 765, F9, 42) (dual of [765, 640, 43]-code) [i]✔
28Linear OA(9124, 763, F9, 42) (dual of [763, 639, 43]-code) [i]✔
29Linear OA(9129, 768, F9, 43) (dual of [768, 639, 44]-code) [i]✔
30Linear OA(9134, 774, F9, 44) (dual of [774, 640, 45]-code) [i]✔
31Linear OA(9133, 772, F9, 44) (dual of [772, 639, 45]-code) [i]✔
32Linear OA(9129, 775, F9, 43) (dual of [775, 646, 44]-code) [i]✔
33Linear OA(9134, 778, F9, 44) (dual of [778, 644, 45]-code) [i]✔
34Linear OA(9140, 784, F9, 45) (dual of [784, 644, 46]-code) [i]✔
35Linear OA(9140, 780, F9, 46) (dual of [780, 640, 47]-code) [i]✔
36Linear OA(9138, 778, F9, 45) (dual of [778, 640, 46]-code) [i]✔
37Linear OA(9139, 778, F9, 46) (dual of [778, 639, 47]-code) [i]✔
38Linear OA(9147, 790, F9, 47) (dual of [790, 643, 48]-code) [i]✔
39Linear OA(9145, 785, F9, 47) (dual of [785, 640, 48]-code) [i]✔
40Linear OA(9144, 783, F9, 47) (dual of [783, 639, 48]-code) [i]✔
41Linear OA(9150, 789, F9, 48) (dual of [789, 639, 49]-code) [i]✔