Information on Result #673100
Linear OA(2202, 1050, F2, 41) (dual of [1050, 848, 42]-code), using construction X applied to Ce(40) ⊂ Ce(36) based on
- linear OA(2196, 1024, F2, 41) (dual of [1024, 828, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2176, 1024, F2, 37) (dual of [1024, 848, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(26, 26, F2, 3) (dual of [26, 20, 4]-code or 26-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on 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(2202, 210, F2, 5, 41) (dual of [(210, 5), 848, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2202, 175, F2, 6, 41) (dual of [(175, 6), 848, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(2202, 150, F2, 7, 41) (dual of [(150, 7), 848, 42]-NRT-code) | [i] | ||