Information on Result #1083891
Linear OOA(25656, 2118995, F256, 4, 15) (dual of [(2118995, 4), 8475924, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25613, 21845, F256, 4, 7) (dual of [(21845, 4), 87367, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25613, 65536, F256, 7) (dual of [65536, 65523, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(25613, 65536, F256, 7) (dual of [65536, 65523, 8]-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(12864, 2118995, S128, 4, 15) | [i] | Discarding Parts of the Base for OOAs | |