Information on Result #2238550
Linear OA(468, 16409, F4, 12) (dual of [16409, 16341, 13]-code), using 1 times truncation based on linear OA(469, 16410, F4, 13) (dual of [16410, 16341, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 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(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(468, 16310, F4, 2, 12) (dual of [(16310, 2), 32552, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(468, 16310, F4, 3, 12) (dual of [(16310, 3), 48862, 13]-NRT-code) | [i] | ||
| 3 | Digital (56, 68, 16310)-net over F4 | [i] | ||
| 4 | Linear OA(469, 16411, F4, 12) (dual of [16411, 16342, 13]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(470, 16413, F4, 12) (dual of [16413, 16343, 13]-code) | [i] | ||
| 6 | Linear OOA(468, 8204, F4, 2, 12) (dual of [(8204, 2), 16340, 13]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(468, 5469, F4, 3, 12) (dual of [(5469, 3), 16339, 13]-NRT-code) | [i] | ||