Information on Result #720278
Linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(985, 691, F9, 2, 32) (dual of [(691, 2), 1297, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(985, 691, F9, 3, 32) (dual of [(691, 3), 1988, 33]-NRT-code) | [i] | ||
3 | Digital (53, 85, 691)-net over F9 | [i] | ||
4 | Linear OA(993, 742, F9, 34) (dual of [742, 649, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(988, 734, F9, 33) (dual of [734, 646, 34]-code) | [i] | ✔ | |
6 | Linear OA(997, 745, F9, 35) (dual of [745, 648, 36]-code) | [i] | ✔ | |
7 | Linear OA(992, 738, F9, 34) (dual of [738, 646, 35]-code) | [i] | ✔ | |
8 | Linear OA(9132, 790, F9, 41) (dual of [790, 658, 42]-code) | [i] | ✔ | |
9 | Linear OA(9102, 751, F9, 36) (dual of [751, 649, 37]-code) | [i] | ✔ | |
10 | Linear OA(996, 741, F9, 35) (dual of [741, 645, 36]-code) | [i] | ✔ | |
11 | Linear OA(9101, 747, F9, 36) (dual of [747, 646, 37]-code) | [i] | ✔ | |
12 | Linear OA(9125, 774, F9, 41) (dual of [774, 649, 42]-code) | [i] | ✔ | |
13 | Linear OA(9124, 772, F9, 41) (dual of [772, 648, 42]-code) | [i] | ✔ | |
14 | Linear OA(9123, 768, F9, 41) (dual of [768, 645, 42]-code) | [i] | ✔ | |
15 | Linear OA(9122, 765, F9, 41) (dual of [765, 643, 42]-code) | [i] | ✔ | |
16 | Linear OA(9121, 763, F9, 41) (dual of [763, 642, 42]-code) | [i] | ✔ | |
17 | Linear OA(991, 734, F9, 34) (dual of [734, 643, 35]-code) | [i] | ✔ | |
18 | Linear OA(995, 738, F9, 35) (dual of [738, 643, 36]-code) | [i] | ✔ | |
19 | Linear OA(999, 741, F9, 36) (dual of [741, 642, 37]-code) | [i] | ✔ | |
20 | Linear OA(999, 742, F9, 36) (dual of [742, 643, 37]-code) | [i] | ✔ | |
21 | Linear OA(9128, 765, F9, 43) (dual of [765, 637, 44]-code) | [i] | ✔ | |
22 | Linear OA(9127, 763, F9, 43) (dual of [763, 636, 44]-code) | [i] | ✔ | |
23 | Linear OA(9132, 768, F9, 44) (dual of [768, 636, 45]-code) | [i] | ✔ | |
24 | Linear OA(9138, 774, F9, 46) (dual of [774, 636, 47]-code) | [i] | ✔ | |
25 | Linear OA(9132, 775, F9, 44) (dual of [775, 643, 45]-code) | [i] | ✔ | |
26 | Linear OA(9137, 778, F9, 45) (dual of [778, 641, 46]-code) | [i] | ✔ | |
27 | Linear OA(9143, 780, F9, 47) (dual of [780, 637, 48]-code) | [i] | ✔ | |
28 | Linear OA(9142, 778, F9, 47) (dual of [778, 636, 48]-code) | [i] | ✔ | |
29 | Linear OA(9150, 790, F9, 48) (dual of [790, 640, 49]-code) | [i] | ✔ | |
30 | Linear OA(9148, 785, F9, 48) (dual of [785, 637, 49]-code) | [i] | ✔ | |
31 | Linear OA(9147, 783, F9, 48) (dual of [783, 636, 49]-code) | [i] | ✔ |