Information on Result #616122
Linear OA(988, 91, F9, 80) (dual of [91, 3, 81]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,56], and minimum distance d ≥ |{−23,−22,…,56}|+1 = 81 (BCH-bound)
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(989, 92, F9, 80) (dual of [92, 3, 81]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(987, 90, F9, 79) (dual of [90, 3, 80]-code) | [i] | Truncation | |
| 3 | Linear OA(986, 89, F9, 78) (dual of [89, 3, 79]-code) | [i] | ||
| 4 | Linear OA(985, 88, F9, 77) (dual of [88, 3, 78]-code) | [i] | ||
| 5 | Linear OA(984, 87, F9, 76) (dual of [87, 3, 77]-code) | [i] | ||
| 6 | Linear OA(983, 86, F9, 75) (dual of [86, 3, 76]-code) | [i] | ||
| 7 | Linear OA(982, 85, F9, 74) (dual of [85, 3, 75]-code) | [i] | ||
| 8 | Linear OA(981, 84, F9, 73) (dual of [84, 3, 74]-code) | [i] | ||
| 9 | Linear OA(980, 83, F9, 72) (dual of [83, 3, 73]-code) | [i] | ||
| 10 | Linear OA(996, 100, F9, 80) (dual of [100, 4, 81]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 11 | Linear OA(9111, 121, F9, 80) (dual of [121, 10, 81]-code) | [i] | ✔ | |
| 12 | Linear OA(9112, 123, F9, 80) (dual of [123, 11, 81]-code) | [i] | ✔ | |
| 13 | Linear OA(9113, 125, F9, 80) (dual of [125, 12, 81]-code) | [i] | ✔ | |
| 14 | Linear OA(9109, 119, F9, 79) (dual of [119, 10, 80]-code) | [i] | ✔ | |
| 15 | Linear OA(9110, 121, F9, 79) (dual of [121, 11, 80]-code) | [i] | ✔ | |
| 16 | Linear OA(9111, 123, F9, 79) (dual of [123, 12, 80]-code) | [i] | ✔ | |
| 17 | Linear OA(9108, 119, F9, 78) (dual of [119, 11, 79]-code) | [i] | ✔ | |
| 18 | Linear OA(9109, 121, F9, 78) (dual of [121, 12, 79]-code) | [i] | ✔ | |
| 19 | Linear OA(9107, 119, F9, 77) (dual of [119, 12, 78]-code) | [i] | ✔ | |
| 20 | Linear OA(9101, 111, F9, 72) (dual of [111, 10, 73]-code) | [i] | ✔ | |
| 21 | Linear OA(9100, 111, F9, 71) (dual of [111, 11, 72]-code) | [i] | ✔ | |
| 22 | Linear OA(998, 110, F9, 70) (dual of [110, 12, 71]-code) | [i] | ✔ | |
| 23 | Linear OA(990, 101, F9, 63) (dual of [101, 11, 64]-code) | [i] | ✔ | |
| 24 | Linear OA(9110, 120, F9, 80) (dual of [120, 10, 81]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 25 | Linear OA(9102, 112, F9, 73) (dual of [112, 10, 74]-code) | [i] | ✔ | |
| 26 | Linear OA(999, 109, F9, 71) (dual of [109, 10, 72]-code) | [i] | ✔ | |
| 27 | Linear OOA(988, 45, F9, 2, 80) (dual of [(45, 2), 2, 81]-NRT-code) | [i] | OOA Folding | |
| 28 | Linear OOA(988, 30, F9, 3, 80) (dual of [(30, 3), 2, 81]-NRT-code) | [i] | ||