Information on Result #2219323
Linear OA(25667, large, F256, 21) (dual of [large, large−67, 22]-code), using strength reduction based on linear OA(25667, large, F256, 23) (dual of [large, large−67, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(25667, 7213399, F256, 2, 21) (dual of [(7213399, 2), 14426731, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25667, 7213399, F256, 3, 21) (dual of [(7213399, 3), 21640130, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(25667, 7213399, F256, 4, 21) (dual of [(7213399, 4), 28853529, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(25667, 7213399, F256, 5, 21) (dual of [(7213399, 5), 36066928, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(25667, 7213399, F256, 6, 21) (dual of [(7213399, 6), 43280327, 22]-NRT-code) | [i] | ||
| 6 | Digital (46, 67, 7213399)-net over F256 | [i] | ||