Information on Result #1323761
Linear OA(4201, 16451, F4, 35) (dual of [16451, 16250, 36]-code), using construction X applied to Ce(34) ⊂ Ce(25) based on
- linear OA(4183, 16384, F4, 35) (dual of [16384, 16201, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- 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(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(4201, 16451, F4, 2, 35) (dual of [(16451, 2), 32701, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4201, 16451, F4, 3, 35) (dual of [(16451, 3), 49152, 36]-NRT-code) | [i] | ||
| 3 | Digital (166, 201, 16451)-net over F4 | [i] | ||
| 4 | Linear OOA(4201, 8225, F4, 2, 35) (dual of [(8225, 2), 16249, 36]-NRT-code) | [i] | OOA Folding | |