Information on Result #700806
Linear OA(365, 80, F3, 40) (dual of [80, 15, 41]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3143, 156, F3, 81) (dual of [156, 13, 82]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(3142, 154, F3, 81) (dual of [154, 12, 82]-code) | [i] | ||
| 3 | Linear OA(3141, 152, F3, 81) (dual of [152, 11, 82]-code) | [i] | ||
| 4 | Linear OA(3140, 150, F3, 81) (dual of [150, 10, 82]-code) | [i] | ||
| 5 | Linear OA(3139, 148, F3, 81) (dual of [148, 9, 82]-code) | [i] | ||
| 6 | Linear OA(3138, 146, F3, 81) (dual of [146, 8, 82]-code) | [i] | ||
| 7 | Linear OA(3150, 163, F3, 85) (dual of [163, 13, 86]-code) | [i] | Juxtaposition | |
| 8 | Linear OA(381, 96, F3, 47) (dual of [96, 15, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(379, 94, F3, 46) (dual of [94, 15, 47]-code) | [i] | ✔ | |
| 10 | Linear OA(391, 106, F3, 51) (dual of [106, 15, 52]-code) | [i] | ✔ | |
| 11 | Linear OOA(365, 40, F3, 2, 40) (dual of [(40, 2), 15, 41]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(365, 20, F3, 4, 40) (dual of [(20, 4), 15, 41]-NRT-code) | [i] | ||