Information on Result #1323766
Linear OA(4172, 16447, F4, 30) (dual of [16447, 16275, 31]-code), using construction X applied to Ce(29) ⊂ Ce(20) based on
- linear OA(4155, 16384, F4, 30) (dual of [16384, 16229, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(417, 63, F4, 8) (dual of [63, 46, 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(4172, 16447, F4, 2, 30) (dual of [(16447, 2), 32722, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4172, 16447, F4, 3, 30) (dual of [(16447, 3), 49169, 31]-NRT-code) | [i] | ||
| 3 | Digital (142, 172, 16447)-net over F4 | [i] | ||
| 4 | Linear OOA(4172, 8223, F4, 2, 30) (dual of [(8223, 2), 16274, 31]-NRT-code) | [i] | OOA Folding | |