Information on Result #719899
Linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27
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]
- 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(970, 666, F9, 2, 26) (dual of [(666, 2), 1262, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(970, 666, F9, 3, 26) (dual of [(666, 3), 1928, 27]-NRT-code) | [i] | ||
3 | Digital (44, 70, 666)-net over F9 | [i] | ||
4 | Linear OA(973, 734, F9, 27) (dual of [734, 661, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(9115, 787, F9, 35) (dual of [787, 672, 36]-code) | [i] | ✔ | |
6 | Linear OA(9115, 788, F9, 35) (dual of [788, 673, 36]-code) | [i] | ✔ | |
7 | Linear OA(9113, 783, F9, 35) (dual of [783, 670, 36]-code) | [i] | ✔ | |
8 | Linear OA(9112, 781, F9, 35) (dual of [781, 669, 36]-code) | [i] | ✔ | |
9 | Linear OA(9111, 777, F9, 35) (dual of [777, 666, 36]-code) | [i] | ✔ | |
10 | Linear OA(9110, 774, F9, 35) (dual of [774, 664, 36]-code) | [i] | ✔ | |
11 | Linear OA(9109, 772, F9, 35) (dual of [772, 663, 36]-code) | [i] | ✔ | |
12 | Linear OA(9108, 768, F9, 35) (dual of [768, 660, 36]-code) | [i] | ✔ | |
13 | Linear OA(985, 742, F9, 31) (dual of [742, 657, 32]-code) | [i] | ✔ | |
14 | Linear OA(990, 748, F9, 32) (dual of [748, 658, 33]-code) | [i] | ✔ | |
15 | Linear OA(999, 757, F9, 34) (dual of [757, 658, 35]-code) | [i] | ✔ | |
16 | Linear OA(989, 746, F9, 32) (dual of [746, 657, 33]-code) | [i] | ✔ | |
17 | Linear OA(994, 752, F9, 33) (dual of [752, 658, 34]-code) | [i] | ✔ | |
18 | Linear OA(9103, 761, F9, 35) (dual of [761, 658, 36]-code) | [i] | ✔ | |
19 | Linear OA(9109, 767, F9, 36) (dual of [767, 658, 37]-code) | [i] | ✔ | |
20 | Linear OA(9108, 764, F9, 36) (dual of [764, 656, 37]-code) | [i] | ✔ | |
21 | Linear OA(9108, 766, F9, 36) (dual of [766, 658, 37]-code) | [i] | ✔ |