Information on Result #2219304
Linear OA(25664, large, F256, 20) (dual of [large, large−64, 21]-code), using strength reduction based on linear OA(25664, large, F256, 22) (dual of [large, large−64, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [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(25664, 7951138, F256, 2, 20) (dual of [(7951138, 2), 15902212, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25664, 7951138, F256, 3, 20) (dual of [(7951138, 3), 23853350, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(25664, 7951138, F256, 4, 20) (dual of [(7951138, 4), 31804488, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(25664, 7951138, F256, 5, 20) (dual of [(7951138, 5), 39755626, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(25664, 7951138, F256, 6, 20) (dual of [(7951138, 6), 47706764, 21]-NRT-code) | [i] | ||
| 6 | Digital (44, 64, 7951138)-net over F256 | [i] | ||