Information on Result #679731
Linear OA(466, 4119, F4, 14) (dual of [4119, 4053, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) based on
- linear OA(461, 4096, F4, 14) (dual of [4096, 4035, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(443, 4096, F4, 10) (dual of [4096, 4053, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-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(466, 3208, F4, 2, 14) (dual of [(3208, 2), 6350, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(466, 3208, F4, 3, 14) (dual of [(3208, 3), 9558, 15]-NRT-code) | [i] | ||
| 3 | Digital (52, 66, 3208)-net over F4 | [i] | ||
| 4 | Linear OOA(466, 2059, F4, 2, 14) (dual of [(2059, 2), 4052, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(466, 1373, F4, 3, 14) (dual of [(1373, 3), 4053, 15]-NRT-code) | [i] | ||