Information on Result #2226563
Linear OA(2186, 32800, F2, 24) (dual of [32800, 32614, 25]-code), using 1 times truncation based on linear OA(2187, 32801, F2, 25) (dual of [32801, 32614, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2181, 32769, F2, 25) (dual of [32769, 32588, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2151, 32769, F2, 21) (dual of [32769, 32618, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [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(2186, 16400, F2, 2, 24) (dual of [(16400, 2), 32614, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2186, 10933, F2, 3, 24) (dual of [(10933, 3), 32613, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(2186, 8200, F2, 4, 24) (dual of [(8200, 4), 32614, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(2186, 6560, F2, 5, 24) (dual of [(6560, 5), 32614, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(2186, 5466, F2, 6, 24) (dual of [(5466, 6), 32610, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(2186, 4685, F2, 7, 24) (dual of [(4685, 7), 32609, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(2186, 4100, F2, 8, 24) (dual of [(4100, 8), 32614, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(2186, 2733, F2, 24, 24) (dual of [(2733, 24), 65406, 25]-NRT-code) | [i] | OA Folding and Stacking | |