Information on Result #720034
Linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(973, 565, F9, 2, 28) (dual of [(565, 2), 1057, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(973, 565, F9, 3, 28) (dual of [(565, 3), 1622, 29]-NRT-code) | [i] | ||
| 3 | Digital (45, 73, 565)-net over F9 | [i] | ||
| 4 | Linear OA(9105, 775, F9, 34) (dual of [775, 670, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(986, 746, F9, 31) (dual of [746, 660, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(9110, 778, F9, 35) (dual of [778, 668, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(991, 752, F9, 32) (dual of [752, 661, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(985, 742, F9, 31) (dual of [742, 657, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(9118, 789, F9, 36) (dual of [789, 671, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(9120, 790, F9, 37) (dual of [790, 670, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(9118, 785, F9, 37) (dual of [785, 667, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(9117, 783, F9, 37) (dual of [783, 666, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(9102, 766, F9, 34) (dual of [766, 664, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(990, 748, F9, 32) (dual of [748, 658, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(9116, 784, F9, 36) (dual of [784, 668, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(9116, 780, F9, 37) (dual of [780, 664, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(9114, 778, F9, 36) (dual of [778, 664, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(9107, 769, F9, 35) (dual of [769, 662, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(9100, 761, F9, 34) (dual of [761, 661, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(9114, 774, F9, 37) (dual of [774, 660, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(9106, 767, F9, 35) (dual of [767, 661, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(9105, 764, F9, 35) (dual of [764, 659, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(999, 757, F9, 34) (dual of [757, 658, 35]-code) | [i] | ✔ | |
| 24 | Linear OA(9113, 775, F9, 36) (dual of [775, 662, 37]-code) | [i] | ✔ | |
| 25 | Linear OA(9113, 771, F9, 37) (dual of [771, 658, 38]-code) | [i] | ✔ | |
| 26 | Linear OA(9111, 769, F9, 36) (dual of [769, 658, 37]-code) | [i] | ✔ | |
| 27 | Linear OA(9111, 770, F9, 36) (dual of [770, 659, 37]-code) | [i] | ✔ | |
| 28 | Linear OA(979, 734, F9, 30) (dual of [734, 655, 31]-code) | [i] | ✔ | |
| 29 | Linear OA(983, 738, F9, 31) (dual of [738, 655, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(988, 743, F9, 32) (dual of [743, 655, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(987, 741, F9, 32) (dual of [741, 654, 33]-code) | [i] | ✔ | |
| 32 | Linear OA(992, 747, F9, 33) (dual of [747, 655, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(997, 752, F9, 34) (dual of [752, 655, 35]-code) | [i] | ✔ | |
| 34 | Linear OA(9101, 756, F9, 35) (dual of [756, 655, 36]-code) | [i] | ✔ | |
| 35 | Linear OA(9107, 762, F9, 36) (dual of [762, 655, 37]-code) | [i] | ✔ | |
| 36 | Linear OA(9106, 759, F9, 36) (dual of [759, 653, 37]-code) | [i] | ✔ | |
| 37 | Linear OA(987, 742, F9, 32) (dual of [742, 655, 33]-code) | [i] | ✔ | |
| 38 | Linear OA(991, 745, F9, 33) (dual of [745, 654, 34]-code) | [i] | ✔ | |
| 39 | Linear OA(996, 751, F9, 34) (dual of [751, 655, 35]-code) | [i] | ✔ | |
| 40 | Linear OA(9100, 751, F9, 35) (dual of [751, 651, 36]-code) | [i] | ✔ | |
| 41 | Linear OA(9105, 760, F9, 36) (dual of [760, 655, 37]-code) | [i] | ✔ | |
| 42 | Linear OA(9118, 770, F9, 39) (dual of [770, 652, 40]-code) | [i] | ✔ | |
| 43 | Linear OA(9116, 765, F9, 39) (dual of [765, 649, 40]-code) | [i] | ✔ | |
| 44 | Linear OA(9115, 763, F9, 39) (dual of [763, 648, 40]-code) | [i] | ✔ | |
| 45 | Linear OA(9121, 770, F9, 40) (dual of [770, 649, 41]-code) | [i] | ✔ | |
| 46 | Linear OA(9120, 768, F9, 40) (dual of [768, 648, 41]-code) | [i] | ✔ | |
| 47 | Linear OA(9125, 774, F9, 41) (dual of [774, 649, 42]-code) | [i] | ✔ | |
| 48 | Linear OA(9124, 772, F9, 41) (dual of [772, 648, 42]-code) | [i] | ✔ | |
| 49 | Linear OA(9129, 777, F9, 42) (dual of [777, 648, 43]-code) | [i] | ✔ | |
| 50 | Linear OA(9136, 788, F9, 43) (dual of [788, 652, 44]-code) | [i] | ✔ | |
| 51 | Linear OA(9134, 783, F9, 43) (dual of [783, 649, 44]-code) | [i] | ✔ | |
| 52 | Linear OA(9133, 781, F9, 43) (dual of [781, 648, 44]-code) | [i] | ✔ | |
| 53 | Linear OA(9139, 787, F9, 44) (dual of [787, 648, 45]-code) | [i] | ✔ | |
| 54 | Linear OOA(973, 364, F9, 2, 28) (dual of [(364, 2), 655, 29]-NRT-code) | [i] | OOA Folding | |