Information on Result #1071600
Linear OOA(25649, 2097150, F256, 4, 17) (dual of [(2097150, 4), 8388551, 18]-NRT-code), using OOA 4-folding based on linear OA(25649, 8388600, F256, 17) (dual of [8388600, 8388551, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(25650, 2097150, F256, 4, 17) (dual of [(2097150, 4), 8388550, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(25657, 2097407, F256, 4, 17) (dual of [(2097407, 4), 8389571, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(25658, 2097408, F256, 4, 17) (dual of [(2097408, 4), 8389574, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(25659, 2097409, F256, 4, 17) (dual of [(2097409, 4), 8389577, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(25660, 2097410, F256, 4, 17) (dual of [(2097410, 4), 8389580, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(25661, 2097664, F256, 4, 17) (dual of [(2097664, 4), 8390595, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(25662, 2097665, F256, 4, 17) (dual of [(2097665, 4), 8390598, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(25663, 2097666, F256, 4, 17) (dual of [(2097666, 4), 8390601, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(25668, 2113791, F256, 4, 17) (dual of [(2113791, 4), 8455096, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(25663, 2097921, F256, 4, 17) (dual of [(2097921, 4), 8391621, 18]-NRT-code) | [i] | ||