Information on Result #1182502
Digital (222, 249, 40331)-net over F2, using net defined by OOA based on linear OOA(2249, 40331, F2, 27, 27) (dual of [(40331, 27), 1088688, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2249, 524304, F2, 27) (dual of [524304, 524055, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2249, 524308, F2, 27) (dual of [524308, 524059, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(2248, 524288, F2, 27) (dual of [524288, 524040, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2229, 524288, F2, 25) (dual of [524288, 524059, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(21, 20, F2, 1) (dual of [20, 19, 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(26) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(2249, 524308, F2, 27) (dual of [524308, 524059, 28]-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 (223, 249, 40331)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (223, 250, 40331)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (224, 251, 40331)-net over F2 | [i] | ||
| 4 | Digital (225, 252, 40331)-net over F2 | [i] | ||
| 5 | Digital (226, 253, 40331)-net over F2 | [i] | ||