Information on Result #993788
Linear OOA(25661, 2796201, F256, 3, 21) (dual of [(2796201, 3), 8388542, 22]-NRT-code), using OOA 3-folding based on linear OA(25661, large, F256, 21) (dual of [large, large−61, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [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(25664, 2796202, F256, 3, 21) (dual of [(2796202, 3), 8388542, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25667, 2796203, F256, 3, 21) (dual of [(2796203, 3), 8388542, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(25662, 2796201, F256, 3, 21) (dual of [(2796201, 3), 8388541, 22]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(25663, 2796201, F256, 3, 21) (dual of [(2796201, 3), 8388540, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(25661, 2796201, F256, 4, 21) (dual of [(2796201, 4), 11184743, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(25661, 2796201, F256, 5, 21) (dual of [(2796201, 5), 13980944, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(25661, 2796201, F256, 6, 21) (dual of [(2796201, 6), 16777145, 22]-NRT-code) | [i] | ||
| 8 | Digital (40, 61, 2796201)-net over F256 | [i] | ||