Information on Result #1704552
Linear OOA(2230, 3576, F2, 8, 32) (dual of [(3576, 8), 28378, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2230, 3576, F2, 4, 32) (dual of [(3576, 4), 14074, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2230, 4104, F2, 4, 32) (dual of [(4104, 4), 16186, 33]-NRT-code), using
- OOA 4-folding [i] 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
- 1 times truncation [i] based on linear OA(2231, 16417, F2, 33) (dual of [16417, 16186, 34]-code), using
- OOA 4-folding [i] based on linear OA(2230, 16416, F2, 32) (dual of [16416, 16186, 33]-code), using
Mode: 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, 1787, F2, 40, 32) (dual of [(1787, 40), 71250, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |