Information on Result #720167

Linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31

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(979, 628, F9, 2, 30) (dual of [(628, 2), 1177, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(979, 628, F9, 3, 30) (dual of [(628, 3), 1805, 31]-NRT-code) [i]
3Digital (49, 79, 628)-net over F9 [i]
4Linear OA(9111, 775, F9, 36) (dual of [775, 664, 37]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(987, 742, F9, 32) (dual of [742, 655, 33]-code) [i]✔
6Linear OA(982, 734, F9, 31) (dual of [734, 652, 32]-code) [i]✔
7Linear OA(991, 745, F9, 33) (dual of [745, 654, 34]-code) [i]✔
8Linear OA(986, 738, F9, 32) (dual of [738, 652, 33]-code) [i]✔
9Linear OA(9126, 790, F9, 39) (dual of [790, 664, 40]-code) [i]✔
10Linear OA(9124, 785, F9, 39) (dual of [785, 661, 40]-code) [i]✔
11Linear OA(9123, 783, F9, 39) (dual of [783, 660, 40]-code) [i]✔
12Linear OA(9108, 766, F9, 36) (dual of [766, 658, 37]-code) [i]✔
13Linear OA(996, 751, F9, 34) (dual of [751, 655, 35]-code) [i]✔
14Linear OA(990, 741, F9, 33) (dual of [741, 651, 34]-code) [i]✔
15Linear OA(9122, 780, F9, 39) (dual of [780, 658, 40]-code) [i]✔
16Linear OA(9100, 751, F9, 35) (dual of [751, 651, 36]-code) [i]✔
17Linear OA(995, 747, F9, 34) (dual of [747, 652, 35]-code) [i]✔
18Linear OA(9105, 760, F9, 36) (dual of [760, 655, 37]-code) [i]✔
19Linear OA(9100, 752, F9, 35) (dual of [752, 652, 36]-code) [i]✔
20Linear OA(9104, 756, F9, 36) (dual of [756, 652, 37]-code) [i]✔
21Linear OA(9118, 770, F9, 39) (dual of [770, 652, 40]-code) [i]✔
22Linear OA(9116, 765, F9, 39) (dual of [765, 649, 40]-code) [i]✔
23Linear OA(9115, 763, F9, 39) (dual of [763, 648, 40]-code) [i]✔
24Linear OA(985, 734, F9, 32) (dual of [734, 649, 33]-code) [i]✔
25Linear OA(989, 738, F9, 33) (dual of [738, 649, 34]-code) [i]✔
26Linear OA(993, 741, F9, 34) (dual of [741, 648, 35]-code) [i]✔
27Linear OA(998, 747, F9, 35) (dual of [747, 649, 36]-code) [i]✔
28Linear OA(9103, 752, F9, 36) (dual of [752, 649, 37]-code) [i]✔
29Linear OA(993, 742, F9, 34) (dual of [742, 649, 35]-code) [i]✔
30Linear OA(997, 745, F9, 35) (dual of [745, 648, 36]-code) [i]✔
31Linear OA(9102, 751, F9, 36) (dual of [751, 649, 37]-code) [i]✔
32Linear OA(9122, 765, F9, 41) (dual of [765, 643, 42]-code) [i]✔
33Linear OA(9121, 763, F9, 41) (dual of [763, 642, 42]-code) [i]✔
34Linear OA(9126, 768, F9, 42) (dual of [768, 642, 43]-code) [i]✔
35Linear OA(9131, 774, F9, 43) (dual of [774, 643, 44]-code) [i]✔
36Linear OA(9130, 772, F9, 43) (dual of [772, 642, 44]-code) [i]✔
37Linear OA(9135, 777, F9, 44) (dual of [777, 642, 45]-code) [i]✔
38Linear OA(9142, 789, F9, 45) (dual of [789, 647, 46]-code) [i]✔
39Linear OA(9144, 790, F9, 46) (dual of [790, 646, 47]-code) [i]✔
40Linear OA(9142, 785, F9, 46) (dual of [785, 643, 47]-code) [i]✔
41Linear OA(9141, 783, F9, 46) (dual of [783, 642, 47]-code) [i]✔
42Linear OA(9147, 789, F9, 47) (dual of [789, 642, 48]-code) [i]✔