Information on Result #2227044
Linear OA(2246, 32800, F2, 32) (dual of [32800, 32554, 33]-code), using 1 times truncation based on linear OA(2247, 32801, F2, 33) (dual of [32801, 32554, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- linear OA(2241, 32769, F2, 33) (dual of [32769, 32528, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2211, 32769, F2, 29) (dual of [32769, 32558, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, 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
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(2246, 16400, F2, 2, 32) (dual of [(16400, 2), 32554, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2246, 10933, F2, 3, 32) (dual of [(10933, 3), 32553, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(2246, 8200, F2, 4, 32) (dual of [(8200, 4), 32554, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(2246, 6560, F2, 5, 32) (dual of [(6560, 5), 32554, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(2246, 5466, F2, 6, 32) (dual of [(5466, 6), 32550, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(2246, 4685, F2, 7, 32) (dual of [(4685, 7), 32549, 33]-NRT-code) | [i] | ||
| 7 | Linear OOA(2246, 4100, F2, 8, 32) (dual of [(4100, 8), 32554, 33]-NRT-code) | [i] | ||
| 8 | Linear OOA(2246, 2050, F2, 32, 32) (dual of [(2050, 32), 65354, 33]-NRT-code) | [i] | OA Folding and Stacking | |