Information on Result #3280298
(56, 78, 190651)-net in base 64, using 641 times duplication based on (55, 77, 190651)-net in base 64, using
- base change [i] based on digital (44, 66, 190651)-net over F128, using
- net defined by OOA [i] based on linear OOA(12866, 190651, F128, 22, 22) (dual of [(190651, 22), 4194256, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(12866, 2097161, F128, 22) (dual of [2097161, 2097095, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(12866, 2097163, F128, 22) (dual of [2097163, 2097097, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(12864, 2097152, F128, 22) (dual of [2097152, 2097088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(12855, 2097152, F128, 19) (dual of [2097152, 2097097, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1282, 11, F128, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(12866, 2097163, F128, 22) (dual of [2097163, 2097097, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(12866, 2097161, F128, 22) (dual of [2097161, 2097095, 23]-code), using
- net defined by OOA [i] based on linear OOA(12866, 190651, F128, 22, 22) (dual of [(190651, 22), 4194256, 23]-NRT-code), using
Mode: Constructive.
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 | (95, 117, 190651)-net in base 16 | [i] | Base Change | |