Information on Result #1152004
Linear OOA(2247, 74898, F2, 7, 26) (dual of [(74898, 7), 524039, 27]-NRT-code), using OOA 7-folding based on linear OA(2247, 524286, F2, 26) (dual of [524286, 524039, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2247, 524287, F2, 26) (dual of [524287, 524040, 27]-code), using
- 1 times truncation [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]
- 1 times truncation [i] based on linear OA(2248, 524288, F2, 27) (dual of [524288, 524040, 28]-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(2247, 74898, F2, 8, 26) (dual of [(74898, 8), 598937, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (221, 247, 74898)-net over F2 | [i] | ||