Information on Result #1053794
Linear OOA(2230, 4104, F2, 4, 32) (dual of [(4104, 4), 16186, 33]-NRT-code), using OOA 4-folding based on linear OA(2230, 16416, F2, 32) (dual of [16416, 16186, 33]-code), using
- 1 times truncation [i] based on linear OA(2231, 16417, F2, 33) (dual of [16417, 16186, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- linear OA(2225, 16385, F2, 33) (dual of [16385, 16160, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2197, 16385, F2, 29) (dual of [16385, 16188, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
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(2230, 3576, F2, 5, 32) (dual of [(3576, 5), 17650, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2230, 3576, F2, 6, 32) (dual of [(3576, 6), 21226, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(2230, 3576, F2, 7, 32) (dual of [(3576, 7), 24802, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(2230, 3576, F2, 8, 32) (dual of [(3576, 8), 28378, 33]-NRT-code) | [i] | ||
| 5 | Digital (198, 230, 3576)-net over F2 | [i] | ||