Information on Result #2224556
Linear OA(2125, 131103, F2, 14) (dual of [131103, 130978, 15]-code), using 1 times truncation based on linear OA(2126, 131104, F2, 15) (dual of [131104, 130978, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(2120, 131072, F2, 15) (dual of [131072, 130952, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(286, 131072, F2, 11) (dual of [131072, 130986, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(2125, 65551, F2, 2, 14) (dual of [(65551, 2), 130977, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2125, 43701, F2, 3, 14) (dual of [(43701, 3), 130978, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2125, 32775, F2, 4, 14) (dual of [(32775, 4), 130975, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(2125, 26220, F2, 5, 14) (dual of [(26220, 5), 130975, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(2125, 21850, F2, 6, 14) (dual of [(21850, 6), 130975, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(2125, 18729, F2, 7, 14) (dual of [(18729, 7), 130978, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(2125, 18729, F2, 8, 14) (dual of [(18729, 8), 149707, 15]-NRT-code) | [i] | OA Folding and Stacking | |
| 8 | Linear OOA(2125, 18729, F2, 14, 14) (dual of [(18729, 14), 262081, 15]-NRT-code) | [i] | ||