Information on Result #717742
Linear OA(931, 80, F9, 19) (dual of [80, 49, 20]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(931, 80, F9, 18) (dual of [80, 49, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(937, 97, F9, 19) (dual of [97, 60, 20]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(962, 111, F9, 32) (dual of [111, 49, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(948, 97, F9, 26) (dual of [97, 49, 27]-code) | [i] | ✔ | |
| 5 | Linear OA(965, 114, F9, 33) (dual of [114, 49, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(951, 100, F9, 27) (dual of [100, 49, 28]-code) | [i] | ✔ | |
| 7 | Linear OOA(931, 40, F9, 2, 19) (dual of [(40, 2), 49, 20]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(931, 26, F9, 3, 19) (dual of [(26, 3), 47, 20]-NRT-code) | [i] | ||