Information on Result #718353
Linear OA(976, 80, F9, 69) (dual of [80, 4, 70]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−19,−18,…,49}, and designed minimum distance d ≥ |I|+1 = 70
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
- Primitive Narrow-Sense BCH-Codes [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 OA(976, 80, F9, 68) (dual of [80, 4, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(976, 80, F9, 67) (dual of [80, 4, 68]-code) | [i] | ||
| 3 | Linear OA(976, 80, F9, 66) (dual of [80, 4, 67]-code) | [i] | ||
| 4 | Linear OA(976, 80, F9, 65) (dual of [80, 4, 66]-code) | [i] | ||
| 5 | Linear OA(9103, 125, F9, 63) (dual of [125, 22, 64]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(9107, 128, F9, 66) (dual of [128, 21, 67]-code) | [i] | ✔ | |
| 7 | Linear OA(9105, 126, F9, 65) (dual of [126, 21, 66]-code) | [i] | ✔ | |
| 8 | Linear OA(9103, 124, F9, 64) (dual of [124, 21, 65]-code) | [i] | ✔ | |
| 9 | Linear OA(9105, 125, F9, 66) (dual of [125, 20, 67]-code) | [i] | ✔ | |
| 10 | Linear OA(9103, 123, F9, 65) (dual of [123, 20, 66]-code) | [i] | ✔ | |
| 11 | Linear OA(9106, 125, F9, 67) (dual of [125, 19, 68]-code) | [i] | ✔ | |
| 12 | Linear OA(9104, 123, F9, 66) (dual of [123, 19, 67]-code) | [i] | ✔ | |
| 13 | Linear OA(9102, 121, F9, 65) (dual of [121, 19, 66]-code) | [i] | ✔ | |
| 14 | Linear OA(999, 118, F9, 63) (dual of [118, 19, 64]-code) | [i] | ✔ | |
| 15 | Linear OA(9103, 121, F9, 66) (dual of [121, 18, 67]-code) | [i] | ✔ | |
| 16 | Linear OA(9100, 118, F9, 64) (dual of [118, 18, 65]-code) | [i] | ✔ | |
| 17 | Linear OA(9104, 121, F9, 67) (dual of [121, 17, 68]-code) | [i] | ✔ | |
| 18 | Linear OA(9101, 118, F9, 65) (dual of [118, 17, 66]-code) | [i] | ✔ | |
| 19 | Linear OA(9102, 119, F9, 66) (dual of [119, 17, 67]-code) | [i] | ✔ | |
| 20 | Linear OA(9100, 117, F9, 65) (dual of [117, 17, 66]-code) | [i] | ✔ | |
| 21 | Linear OA(9118, 133, F9, 79) (dual of [133, 15, 80]-code) | [i] | ✔ | |
| 22 | Linear OA(9116, 131, F9, 78) (dual of [131, 15, 79]-code) | [i] | ✔ | |
| 23 | Linear OA(9114, 129, F9, 77) (dual of [129, 15, 78]-code) | [i] | ✔ | |
| 24 | Linear OA(9112, 127, F9, 76) (dual of [127, 15, 77]-code) | [i] | ✔ | |
| 25 | Linear OA(9110, 125, F9, 75) (dual of [125, 15, 76]-code) | [i] | ✔ | |
| 26 | Linear OA(9114, 128, F9, 78) (dual of [128, 14, 79]-code) | [i] | ✔ | |
| 27 | Linear OA(9112, 126, F9, 77) (dual of [126, 14, 78]-code) | [i] | ✔ | |
| 28 | Linear OA(9110, 124, F9, 76) (dual of [124, 14, 77]-code) | [i] | ✔ | |
| 29 | Linear OA(9114, 127, F9, 79) (dual of [127, 13, 80]-code) | [i] | ✔ | |
| 30 | Linear OA(9112, 125, F9, 78) (dual of [125, 13, 79]-code) | [i] | ✔ | |
| 31 | Linear OA(9110, 123, F9, 77) (dual of [123, 13, 78]-code) | [i] | ✔ | |
| 32 | Linear OOA(976, 40, F9, 2, 69) (dual of [(40, 2), 4, 70]-NRT-code) | [i] | OOA Folding | |
| 33 | Linear OOA(976, 26, F9, 3, 69) (dual of [(26, 3), 2, 70]-NRT-code) | [i] | ||