Information on Result #1106829
Linear OOA(25655, 1677720, F256, 5, 19) (dual of [(1677720, 5), 8388545, 20]-NRT-code), using OOA 5-folding based on linear OA(25655, 8388600, F256, 19) (dual of [8388600, 8388545, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(25655, 1677720, F256, 5, 18) (dual of [(1677720, 5), 8388545, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(25660, 1677721, F256, 5, 19) (dual of [(1677721, 5), 8388545, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(25656, 1677720, F256, 5, 19) (dual of [(1677720, 5), 8388544, 20]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(25657, 1677720, F256, 5, 19) (dual of [(1677720, 5), 8388543, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(25659, 1677720, F256, 5, 19) (dual of [(1677720, 5), 8388541, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(25664, 1677977, F256, 5, 19) (dual of [(1677977, 5), 8389821, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(25665, 1677978, F256, 5, 19) (dual of [(1677978, 5), 8389825, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(25666, 1677979, F256, 5, 19) (dual of [(1677979, 5), 8389829, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(25667, 1677980, F256, 5, 19) (dual of [(1677980, 5), 8389833, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(25668, 1678234, F256, 5, 19) (dual of [(1678234, 5), 8391102, 20]-NRT-code) | [i] | ||