Information on Result #3267703
Digital (28, 48, 1641)-net over F128, using 1281 times duplication based on digital (27, 47, 1641)-net over F128, using
- net defined by OOA [i] based on linear OOA(12847, 1641, F128, 20, 20) (dual of [(1641, 20), 32773, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(12847, 16410, F128, 20) (dual of [16410, 16363, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(10) [i] based on
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(12821, 16384, F128, 11) (dual of [16384, 16363, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(1288, 26, F128, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,128)), using
- discarding factors / shortening the dual code based on linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), using
- Reed–Solomon code RS(120,128) [i]
- discarding factors / shortening the dual code based on linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), using
- construction X applied to Ce(19) ⊂ Ce(10) [i] based on
- OA 10-folding and stacking [i] based on linear OA(12847, 16410, F128, 20) (dual of [16410, 16363, 21]-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 | (36, 56, 1641)-net in base 64 | [i] | Base Change | |