Information on Result #698108
Linear OA(4919, 117649, F49, 7) (dual of [117649, 117630, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4919, 65961, F49, 2, 7) (dual of [(65961, 2), 131903, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4919, 65961, F49, 3, 7) (dual of [(65961, 3), 197864, 8]-NRT-code) | [i] | ||
| 3 | Digital (12, 19, 65961)-net over F49 | [i] | ||
| 4 | Linear OA(4922, 117652, F49, 8) (dual of [117652, 117630, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4919, 117652, F49, 7) (dual of [117652, 117633, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(4930, 117660, F49, 10) (dual of [117660, 117630, 11]-code) | [i] | ✔ | |
| 7 | Linear OA(4921, 117660, F49, 7) (dual of [117660, 117639, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(4938, 117668, F49, 12) (dual of [117668, 117630, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(4946, 117676, F49, 14) (dual of [117676, 117630, 15]-code) | [i] | ✔ | |