Information on Result #690954
Linear OA(981, 82, F9, 81) (dual of [82, 1, 82]-code or 82-arc in PG(80,9)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,40], and minimum distance d ≥ |{−18,5,28,…,18}|+1 = 82 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(981, 82, F9, 80) (dual of [82, 1, 81]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(981, 82, F9, 79) (dual of [82, 1, 80]-code) | [i] | ||
| 3 | Linear OA(981, 82, F9, 78) (dual of [82, 1, 79]-code) | [i] | ||
| 4 | Linear OA(981, 82, F9, 77) (dual of [82, 1, 78]-code) | [i] | ||
| 5 | Linear OA(981, 82, F9, 76) (dual of [82, 1, 77]-code) | [i] | ||
| 6 | Linear OA(981, 82, F9, 75) (dual of [82, 1, 76]-code) | [i] | ||
| 7 | Linear OA(981, 82, F9, 74) (dual of [82, 1, 75]-code) | [i] | ||
| 8 | Linear OA(9121, 149, F9, 81) (dual of [149, 28, 82]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(9122, 152, F9, 81) (dual of [152, 30, 82]-code) | [i] | ||
| 10 | Linear OA(9123, 155, F9, 81) (dual of [155, 32, 82]-code) | [i] | ||
| 11 | Linear OA(9124, 158, F9, 81) (dual of [158, 34, 82]-code) | [i] | ||
| 12 | Linear OA(9104, 112, F9, 81) (dual of [112, 8, 82]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 13 | Linear OA(9105, 114, F9, 81) (dual of [114, 9, 82]-code) | [i] | ✔ | |
| 14 | Linear OA(9102, 110, F9, 80) (dual of [110, 8, 81]-code) | [i] | ✔ | |
| 15 | Linear OA(9103, 112, F9, 80) (dual of [112, 9, 81]-code) | [i] | ✔ | |
| 16 | Linear OA(9101, 110, F9, 79) (dual of [110, 9, 80]-code) | [i] | ✔ | |
| 17 | Linear OA(994, 102, F9, 73) (dual of [102, 8, 74]-code) | [i] | ✔ | |
| 18 | Linear OA(993, 102, F9, 72) (dual of [102, 9, 73]-code) | [i] | ✔ | |
| 19 | Linear OA(991, 100, F9, 71) (dual of [100, 9, 72]-code) | [i] | ✔ | |
| 20 | Linear OA(984, 92, F9, 65) (dual of [92, 8, 66]-code) | [i] | ✔ | |
| 21 | Linear OA(983, 92, F9, 64) (dual of [92, 9, 65]-code) | [i] | ✔ | |