Information on Result #1083767
Linear OOA(25642, 2195071, F256, 4, 11) (dual of [(2195071, 4), 8780242, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25611, 97921, F256, 4, 5) (dual of [(97921, 4), 391673, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(25611, 195843, F256, 5) (dual of [195843, 195832, 6]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(2561, 65281, F256, 1) (dual of [65281, 65280, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(2563, 65281, F256, 2) (dual of [65281, 65278, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- Hamming code H(3,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- linear OA(2561, 65281, F256, 1) (dual of [65281, 65280, 2]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- OOA 2-folding and stacking with additional row [i] based on linear OA(25611, 195843, F256, 5) (dual of [195843, 195832, 6]-code), using
- linear OOA(25631, 2097150, F256, 4, 11) (dual of [(2097150, 4), 8388569, 12]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25631, 8388600, F256, 11) (dual of [8388600, 8388569, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-code), using
- OOA 4-folding [i] based on linear OA(25631, 8388600, F256, 11) (dual of [8388600, 8388569, 12]-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(12848, 2195071, S128, 4, 11) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25655, 4390142, F256, 4, 11) (dual of [(4390142, 4), 17560513, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |