Information on Result #1151642
Linear OOA(2220, 149796, F2, 7, 22) (dual of [(149796, 7), 1048352, 23]-NRT-code), using OOA 7-folding based on linear OA(2220, 1048572, F2, 22) (dual of [1048572, 1048352, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2220, 1048575, F2, 22) (dual of [1048575, 1048355, 23]-code), using
- 1 times truncation [i] based on linear OA(2221, 1048576, F2, 23) (dual of [1048576, 1048355, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 1 times truncation [i] based on linear OA(2221, 1048576, F2, 23) (dual of [1048576, 1048355, 24]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(2220, 149796, F2, 8, 22) (dual of [(149796, 8), 1198148, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Digital (198, 220, 149796)-net over F2 | [i] |