Information on Result #1204862
Digital (28, 49, 6556)-net over F256, using net defined by OOA based on linear OOA(25649, 6556, F256, 21, 21) (dual of [(6556, 21), 137627, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(25649, 65561, F256, 21) (dual of [65561, 65512, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(25649, 65562, F256, 21) (dual of [65562, 65513, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(11) [i] based on
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2568, 26, F256, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,256)), using
- discarding factors / shortening the dual code based on linear OA(2568, 256, F256, 8) (dual of [256, 248, 9]-code or 256-arc in PG(7,256)), using
- Reed–Solomon code RS(248,256) [i]
- discarding factors / shortening the dual code based on linear OA(2568, 256, F256, 8) (dual of [256, 248, 9]-code or 256-arc in PG(7,256)), using
- construction X applied to Ce(20) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(25649, 65562, F256, 21) (dual of [65562, 65513, 22]-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, 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 (29, 50, 6556)-net over F256 | [i] | Net Duplication | |
| 2 | Digital (28, 48, 6556)-net over F256 | [i] | m-Reduction | |
| 3 | (35, 56, 6556)-net in base 128 | [i] | Base Change | |