Information on Result #1757999
Digital (209, 235, 37451)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2235, 37451, F2, 7, 26) (dual of [(37451, 7), 261922, 27]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2235, 262157, F2, 26) (dual of [262157, 261922, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2235, 262162, F2, 26) (dual of [262162, 261927, 27]-code), using
- 1 times truncation [i] based on linear OA(2236, 262163, F2, 27) (dual of [262163, 261927, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(2235, 262144, F2, 27) (dual of [262144, 261909, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2217, 262144, F2, 25) (dual of [262144, 261927, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(21, 19, F2, 1) (dual of [19, 18, 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
- 1 times truncation [i] based on linear OA(2236, 262163, F2, 27) (dual of [262163, 261927, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2235, 262162, F2, 26) (dual of [262162, 261927, 27]-code), using
Mode: 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 (210, 236, 37451)-net over F2 | [i] | Net Duplication | |