Information on Result #2226733
Linear OA(2201, 32799, F2, 26) (dual of [32799, 32598, 27]-code), using 1 times truncation based on linear OA(2202, 32800, F2, 27) (dual of [32800, 32598, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- linear OA(2196, 32768, F2, 27) (dual of [32768, 32572, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2166, 32768, F2, 23) (dual of [32768, 32602, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(2201, 16399, F2, 2, 26) (dual of [(16399, 2), 32597, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2201, 10933, F2, 3, 26) (dual of [(10933, 3), 32598, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2201, 8199, F2, 4, 26) (dual of [(8199, 4), 32595, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(2201, 6559, F2, 5, 26) (dual of [(6559, 5), 32594, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(2201, 5466, F2, 6, 26) (dual of [(5466, 6), 32595, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(2201, 4685, F2, 7, 26) (dual of [(4685, 7), 32594, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(2201, 4099, F2, 8, 26) (dual of [(4099, 8), 32591, 27]-NRT-code) | [i] | ||
| 8 | Linear OOA(2201, 2523, F2, 26, 26) (dual of [(2523, 26), 65397, 27]-NRT-code) | [i] | OA Folding and Stacking | |