Information on Result #1085137
Linear OOA(25667, 4194557, F256, 4, 15) (dual of [(4194557, 4), 16778161, 16]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(2565, 257, F256, 4, 5) (dual of [(257, 4), 1023, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1023,256) [i]
- linear OOA(25619, 2097150, F256, 4, 7) (dual of [(2097150, 4), 8388581, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25619, 2796200, F256, 4, 7) (dual of [(2796200, 4), 11184781, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25619, 8388601, F256, 7) (dual of [8388601, 8388582, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25619, 8388601, F256, 7) (dual of [8388601, 8388582, 8]-code), using
- discarding factors / shortening the dual code based on linear OOA(25619, 2796200, F256, 4, 7) (dual of [(2796200, 4), 11184781, 8]-NRT-code), using
- linear OOA(25643, 2097150, F256, 4, 15) (dual of [(2097150, 4), 8388557, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25643, 8388600, F256, 15) (dual of [8388600, 8388557, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- OOA 4-folding [i] based on linear OA(25643, 8388600, F256, 15) (dual of [8388600, 8388557, 16]-code), using
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 | OOA(12877, 4194557, S128, 4, 15) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25667, 2097278, F256, 20, 15) (dual of [(2097278, 20), 41945493, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |