Information on Result #1323765
Linear OA(4179, 16447, F4, 31) (dual of [16447, 16268, 32]-code), using construction X applied to Ce(30) ⊂ Ce(21) based on
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(4179, 16447, F4, 2, 31) (dual of [(16447, 2), 32715, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4179, 16447, F4, 3, 31) (dual of [(16447, 3), 49162, 32]-NRT-code) | [i] | ||
| 3 | Digital (148, 179, 16447)-net over F4 | [i] | ||
| 4 | Linear OOA(4179, 8223, F4, 2, 31) (dual of [(8223, 2), 16267, 32]-NRT-code) | [i] | OOA Folding | |