Information on Result #1166001
Linear OOA(2249, 524292, F2, 8, 23) (dual of [(524292, 8), 4194087, 24]-NRT-code), using OOA 8-folding based on linear OA(2249, 4194336, F2, 23) (dual of [4194336, 4194087, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(2243, 4194304, F2, 23) (dual of [4194304, 4194061, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2199, 4194304, F2, 19) (dual of [4194304, 4194105, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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(2248, 524291, F2, 8, 22) (dual of [(524291, 8), 4194080, 23]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Digital (226, 249, 524292)-net over F2 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |