Information on Result #685888
Linear OA(745, 48, F7, 40) (dual of [48, 3, 41]-code), using contraction based on linear OA(793, 96, F7, 81) (dual of [96, 3, 82]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,81], and designed minimum distance d ≥ |I|+1 = 82 [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 Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(755, 64, F7, 40) (dual of [64, 9, 41]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(756, 65, F7, 41) (dual of [65, 9, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(755, 63, F7, 41) (dual of [63, 8, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(761, 72, F7, 40) (dual of [72, 11, 41]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 5 | Linear OOA(745, 24, F7, 2, 40) (dual of [(24, 2), 3, 41]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(745, 16, F7, 3, 40) (dual of [(16, 3), 3, 41]-NRT-code) | [i] | ||