Information on Result #3267748
Digital (30, 54, 1367)-net over F128, using 1281 times duplication based on digital (29, 53, 1367)-net over F128, using
- net defined by OOA [i] based on linear OOA(12853, 1367, F128, 24, 24) (dual of [(1367, 24), 32755, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(12853, 16404, F128, 24) (dual of [16404, 16351, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(16) [i] based on
- linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1286, 20, F128, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,128)), using
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- Reed–Solomon code RS(122,128) [i]
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- construction X applied to Ce(23) ⊂ Ce(16) [i] based on
- OA 12-folding and stacking [i] based on linear OA(12853, 16404, F128, 24) (dual of [16404, 16351, 25]-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 | (39, 63, 1367)-net in base 64 | [i] | Base Change | |