Information on Result #712471
Linear OA(740, 48, F7, 32) (dual of [48, 8, 33]-code), using the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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 Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive BCH-Codes (hidden) [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(786, 92, F7, 65) (dual of [92, 6, 66]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(785, 90, F7, 65) (dual of [90, 5, 66]-code) | [i] | ||
| 3 | Linear OA(797, 104, F7, 73) (dual of [104, 7, 74]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(755, 74, F7, 32) (dual of [74, 19, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OOA(740, 24, F7, 2, 32) (dual of [(24, 2), 8, 33]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(740, 16, F7, 3, 32) (dual of [(16, 3), 8, 33]-NRT-code) | [i] | ||