Information on Result #1323769
Linear OA(4158, 16447, F4, 27) (dual of [16447, 16289, 28]-code), using construction X applied to Ce(26) ⊂ Ce(17) based on
- linear OA(4141, 16384, F4, 27) (dual of [16384, 16243, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(4158, 16447, F4, 2, 27) (dual of [(16447, 2), 32736, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4158, 16447, F4, 3, 27) (dual of [(16447, 3), 49183, 28]-NRT-code) | [i] | ||
| 3 | Digital (131, 158, 16447)-net over F4 | [i] | ||
| 4 | Linear OOA(4158, 8223, F4, 2, 27) (dual of [(8223, 2), 16288, 28]-NRT-code) | [i] | OOA Folding | |