Information on Result #2788777
Linear OOA(2134, 4104, F2, 4, 19) (dual of [(4104, 4), 16282, 20]-NRT-code), using 21 times duplication based on linear OOA(2133, 4104, F2, 4, 19) (dual of [(4104, 4), 16283, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2133, 16416, F2, 19) (dual of [16416, 16283, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(2127, 16384, F2, 19) (dual of [16384, 16257, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(299, 16384, F2, 15) (dual of [16384, 16285, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(18) ⊂ Ce(14) [i] based on
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(2134, 3753, F2, 5, 19) (dual of [(3753, 5), 18631, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2134, 3753, F2, 6, 19) (dual of [(3753, 6), 22384, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(2134, 3753, F2, 7, 19) (dual of [(3753, 7), 26137, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(2134, 3753, F2, 8, 19) (dual of [(3753, 8), 29890, 20]-NRT-code) | [i] | ||
| 5 | Digital (115, 134, 3753)-net over F2 | [i] | ||