Information on Result #720333

Linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34

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(988, 723, F9, 2, 33) (dual of [(723, 2), 1358, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(988, 723, F9, 3, 33) (dual of [(723, 3), 2081, 34]-NRT-code) [i]
3Digital (55, 88, 723)-net over F9 [i]
4Linear OA(996, 742, F9, 35) (dual of [742, 646, 36]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(991, 734, F9, 34) (dual of [734, 643, 35]-code) [i]✔
6Linear OA(9100, 745, F9, 36) (dual of [745, 645, 37]-code) [i]✔
7Linear OA(995, 738, F9, 35) (dual of [738, 643, 36]-code) [i]✔
8Linear OA(999, 741, F9, 36) (dual of [741, 642, 37]-code) [i]✔
9Linear OA(9129, 777, F9, 42) (dual of [777, 648, 43]-code) [i]✔
10Linear OA(9128, 774, F9, 42) (dual of [774, 646, 43]-code) [i]✔
11Linear OA(9127, 772, F9, 42) (dual of [772, 645, 43]-code) [i]✔
12Linear OA(9126, 768, F9, 42) (dual of [768, 642, 43]-code) [i]✔
13Linear OA(9125, 765, F9, 42) (dual of [765, 640, 43]-code) [i]✔
14Linear OA(9124, 763, F9, 42) (dual of [763, 639, 43]-code) [i]✔
15Linear OA(994, 734, F9, 35) (dual of [734, 640, 36]-code) [i]✔
16Linear OA(998, 738, F9, 36) (dual of [738, 640, 37]-code) [i]✔
17Linear OA(9126, 766, F9, 43) (dual of [766, 640, 44]-code) [i]✔
18Linear OA(9131, 769, F9, 44) (dual of [769, 638, 45]-code) [i]✔
19Linear OA(9137, 775, F9, 45) (dual of [775, 638, 46]-code) [i]✔
20Linear OA(9137, 771, F9, 46) (dual of [771, 634, 47]-code) [i]✔
21Linear OA(9135, 769, F9, 45) (dual of [769, 634, 46]-code) [i]✔
22Linear OA(9136, 769, F9, 46) (dual of [769, 633, 47]-code) [i]✔
23Linear OA(9141, 774, F9, 47) (dual of [774, 633, 48]-code) [i]✔
24Linear OA(9135, 775, F9, 45) (dual of [775, 640, 46]-code) [i]✔
25Linear OA(9146, 780, F9, 48) (dual of [780, 634, 49]-code) [i]✔
26Linear OA(9145, 778, F9, 48) (dual of [778, 633, 49]-code) [i]✔
27Linear OA(9150, 783, F9, 49) (dual of [783, 633, 50]-code) [i]✔