Information on Result #1181940
Digital (103, 124, 411)-net over F2, using net defined by OOA based on linear OOA(2124, 411, F2, 21, 21) (dual of [(411, 21), 8507, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(2124, 4111, F2, 21) (dual of [4111, 3987, 22]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2122, 4109, F2, 21) (dual of [4109, 3987, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(2121, 4096, F2, 21) (dual of [4096, 3975, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2109, 4096, F2, 19) (dual of [4096, 3987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(21, 13, F2, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(2122, 4109, F2, 21) (dual of [4109, 3987, 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 (104, 124, 411)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (104, 125, 411)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (105, 126, 411)-net over F2 | [i] | ||