Information on Result #1203772
Digital (41, 59, 233020)-net over F128, using net defined by OOA based on linear OOA(12859, 233020, F128, 18, 18) (dual of [(233020, 18), 4194301, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(12859, 2097180, F128, 18) (dual of [2097180, 2097121, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(12859, 2097183, F128, 18) (dual of [2097183, 2097124, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(9) [i] based on
- linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1287, 31, F128, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- construction X applied to Ce(17) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(12859, 2097183, F128, 18) (dual of [2097183, 2097124, 19]-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 (42, 60, 233020)-net over F128 | [i] | Net Duplication | |