Information on Result #677543
Linear OA(365, 80, F3, 40) (dual of [80, 15, 41]-code), using contraction based on linear OA(3145, 160, F3, 81) (dual of [160, 15, 82]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,79], and minimum distance d ≥ |{−1,0,…,79}|+1 = 82 (BCH-bound) [i]
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
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [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(371, 86, F3, 42) (dual of [86, 15, 43]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(374, 89, F3, 44) (dual of [89, 15, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(391, 106, F3, 50) (dual of [106, 15, 51]-code) | [i] | ✔ | |
| 11 | Linear OA(386, 101, F3, 49) (dual of [101, 15, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(382, 97, F3, 46) (dual of [97, 15, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(374, 90, F3, 44) (dual of [90, 16, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 14 | Linear OA(389, 104, F3, 50) (dual of [104, 15, 51]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 15 | Linear OA(387, 102, F3, 50) (dual of [102, 15, 51]-code) | [i] | ✔ | |
| 16 | Linear OA(383, 98, F3, 47) (dual of [98, 15, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(380, 95, F3, 45) (dual of [95, 15, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(372, 87, F3, 43) (dual of [87, 15, 44]-code) | [i] | ✔ | |
| 19 | Linear OOA(365, 40, F3, 2, 40) (dual of [(40, 2), 15, 41]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(365, 20, F3, 4, 40) (dual of [(20, 4), 15, 41]-NRT-code) | [i] | ||