Information on Result #717583
Linear OA(979, 80, F9, 79) (dual of [80, 1, 80]-code or 80-arc in PG(78,9)), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80
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
- Repetition Code [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(979, 80, F9, 78) (dual of [80, 1, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(979, 80, F9, 77) (dual of [80, 1, 78]-code) | [i] | ||
| 3 | Linear OA(979, 80, F9, 76) (dual of [80, 1, 77]-code) | [i] | ||
| 4 | Linear OA(979, 80, F9, 75) (dual of [80, 1, 76]-code) | [i] | ||
| 5 | Linear OA(979, 80, F9, 74) (dual of [80, 1, 75]-code) | [i] | ||
| 6 | Linear OA(979, 80, F9, 73) (dual of [80, 1, 74]-code) | [i] | ||
| 7 | Linear OA(979, 80, F9, 72) (dual of [80, 1, 73]-code) | [i] | ||
| 8 | Linear OA(9136, 213, F9, 79) (dual of [213, 77, 80]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(999, 106, F9, 79) (dual of [106, 7, 80]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(993, 100, F9, 74) (dual of [100, 7, 75]-code) | [i] | ✔ | |
| 11 | Linear OA(9108, 122, F9, 73) (dual of [122, 14, 74]-code) | [i] | ✔ | |
| 12 | Linear OA(9113, 129, F9, 75) (dual of [129, 16, 76]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 13 | Linear OA(9111, 127, F9, 74) (dual of [127, 16, 75]-code) | [i] | ✔ | |
| 14 | Linear OA(9109, 125, F9, 73) (dual of [125, 16, 74]-code) | [i] | ✔ | |
| 15 | Linear OA(9117, 132, F9, 78) (dual of [132, 15, 79]-code) | [i] | ✔ | |
| 16 | Linear OA(9115, 130, F9, 77) (dual of [130, 15, 78]-code) | [i] | ✔ | |
| 17 | Linear OA(9111, 126, F9, 75) (dual of [126, 15, 76]-code) | [i] | ✔ | |
| 18 | Linear OA(9109, 124, F9, 74) (dual of [124, 15, 75]-code) | [i] | ✔ | |
| 19 | Linear OA(9113, 127, F9, 77) (dual of [127, 14, 78]-code) | [i] | ✔ | |
| 20 | Linear OA(9111, 125, F9, 76) (dual of [125, 14, 77]-code) | [i] | ✔ | |
| 21 | Linear OA(9109, 123, F9, 75) (dual of [123, 14, 76]-code) | [i] | ✔ | |
| 22 | Linear OA(9113, 126, F9, 78) (dual of [126, 13, 79]-code) | [i] | ✔ | |
| 23 | Linear OA(9111, 124, F9, 77) (dual of [124, 13, 78]-code) | [i] | ✔ | |
| 24 | Linear OA(9109, 122, F9, 76) (dual of [122, 13, 77]-code) | [i] | ✔ | |
| 25 | Linear OA(9105, 118, F9, 73) (dual of [118, 13, 74]-code) | [i] | ✔ | |
| 26 | Linear OA(996, 105, F9, 75) (dual of [105, 9, 76]-code) | [i] | ✔ | |
| 27 | Linear OA(996, 104, F9, 76) (dual of [104, 8, 77]-code) | [i] | ✔ | |
| 28 | Linear OA(992, 100, F9, 73) (dual of [100, 8, 74]-code) | [i] | ✔ | |
| 29 | Linear OA(996, 103, F9, 77) (dual of [103, 7, 78]-code) | [i] | ✔ | |
| 30 | Linear OA(993, 100, F9, 75) (dual of [100, 7, 76]-code) | [i] | ✔ | |
| 31 | Linear OA(997, 105, F9, 77) (dual of [105, 8, 78]-code) | [i] | ✔ | |
| 32 | Linear OA(997, 104, F9, 78) (dual of [104, 7, 79]-code) | [i] | ✔ | |