Information on Result #1182672
Digital (208, 239, 2188)-net over F2, using net defined by OOA based on linear OOA(2239, 2188, F2, 31, 31) (dual of [(2188, 31), 67589, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(2239, 32821, F2, 31) (dual of [32821, 32582, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2239, 32826, F2, 31) (dual of [32826, 32587, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(24) [i] based on
- linear OA(2226, 32768, F2, 31) (dual of [32768, 32542, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2181, 32768, F2, 25) (dual of [32768, 32587, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(213, 58, F2, 5) (dual of [58, 45, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- construction X applied to Ce(30) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(2239, 32826, F2, 31) (dual of [32826, 32587, 32]-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 (209, 239, 2188)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (209, 240, 2188)-net over F2 | [i] | Net Duplication | |