Information on Result #1323771
Linear OA(4152, 16451, F4, 26) (dual of [16451, 16299, 27]-code), using construction X applied to Ce(25) ⊂ Ce(16) based on
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(418, 67, F4, 8) (dual of [67, 49, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 68, F4, 8) (dual of [68, 50, 9]-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(4152, 16451, F4, 2, 26) (dual of [(16451, 2), 32750, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4152, 16451, F4, 3, 26) (dual of [(16451, 3), 49201, 27]-NRT-code) | [i] | ||
| 3 | Digital (126, 152, 16451)-net over F4 | [i] | ||
| 4 | Linear OOA(4152, 8225, F4, 2, 26) (dual of [(8225, 2), 16298, 27]-NRT-code) | [i] | OOA Folding | |