Information on Result #1204384
Digital (29, 39, 1775640)-net over F256, using net defined by OOA based on linear OOA(25639, 1775640, F256, 15, 10) (dual of [(1775640, 15), 26634561, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(25639, 1775641, F256, 5, 10) (dual of [(1775641, 5), 8878166, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25611, 97921, F256, 5, 5) (dual of [(97921, 5), 489594, 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(25628, 1677720, F256, 5, 10) (dual of [(1677720, 5), 8388572, 11]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25628, 8388600, F256, 10) (dual of [8388600, 8388572, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(25628, large, F256, 10) (dual of [large, large−28, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(25628, large, F256, 10) (dual of [large, large−28, 11]-code), using
- OOA 5-folding [i] based on linear OA(25628, 8388600, F256, 10) (dual of [8388600, 8388572, 11]-code), using
- linear OOA(25611, 97921, F256, 5, 5) (dual of [(97921, 5), 489594, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (146, 156, 7102560)-net over F4 | [i] | Trace Code for Nets | |
| 2 | Digital (68, 78, 3551280)-net over F16 | [i] | ||