Information on Result #993764
Linear OOA(25658, 2796201, F256, 3, 20) (dual of [(2796201, 3), 8388545, 21]-NRT-code), using OOA 3-folding based on linear OA(25658, large, F256, 20) (dual of [large, large−58, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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(25661, 2796202, F256, 3, 20) (dual of [(2796202, 3), 8388545, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25664, 2796203, F256, 3, 20) (dual of [(2796203, 3), 8388545, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(25667, 2796204, F256, 3, 20) (dual of [(2796204, 3), 8388545, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(25659, 2796201, F256, 3, 20) (dual of [(2796201, 3), 8388544, 21]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(25660, 2796201, F256, 3, 20) (dual of [(2796201, 3), 8388543, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(25668, 2796458, F256, 3, 20) (dual of [(2796458, 3), 8389306, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(25658, 2796201, F256, 4, 20) (dual of [(2796201, 4), 11184746, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Linear OOA(25658, 2796201, F256, 5, 20) (dual of [(2796201, 5), 13980947, 21]-NRT-code) | [i] | ||
| 9 | Linear OOA(25658, 2796201, F256, 6, 20) (dual of [(2796201, 6), 16777148, 21]-NRT-code) | [i] | ||
| 10 | Digital (38, 58, 2796201)-net over F256 | [i] | ||