Information on Result #1681141
Linear OOA(2133, 52435, F2, 7, 15) (dual of [(52435, 7), 366912, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2133, 52435, F2, 5, 15) (dual of [(52435, 5), 262042, 16]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2133, 262175, F2, 15) (dual of [262175, 262042, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2133, 262176, F2, 15) (dual of [262176, 262043, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(2127, 262144, F2, 15) (dual of [262144, 262017, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(291, 262144, F2, 11) (dual of [262144, 262053, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, 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
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(2133, 262176, F2, 15) (dual of [262176, 262043, 16]-code), using
Mode: 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(2133, 52434, F2, 8, 15) (dual of [(52434, 8), 419339, 16]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2133, 52434, F2, 21, 15) (dual of [(52434, 21), 1100981, 16]-NRT-code) | [i] | ||