Information on Result #2236812
Linear OA(447, 16409, F4, 8) (dual of [16409, 16362, 9]-code), using 1 times truncation based on linear OA(448, 16410, F4, 9) (dual of [16410, 16362, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(4) [i] based on
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(422, 16384, F4, 5) (dual of [16384, 16362, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(45, 26, F4, 3) (dual of [26, 21, 4]-code or 26-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
Mode: Constructive and 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(447, 16409, F4, 2, 8) (dual of [(16409, 2), 32771, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(447, 16409, F4, 3, 8) (dual of [(16409, 3), 49180, 9]-NRT-code) | [i] | ||
| 3 | Digital (39, 47, 16409)-net over F4 | [i] | ||
| 4 | Linear OOA(447, 8204, F4, 2, 8) (dual of [(8204, 2), 16361, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(447, 5469, F4, 3, 8) (dual of [(5469, 3), 16360, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(447, 4102, F4, 8, 8) (dual of [(4102, 8), 32769, 9]-NRT-code) | [i] | OA Folding and Stacking | |