Information on Result #679729
Linear OA(472, 4119, F4, 15) (dual of [4119, 4047, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(467, 4096, F4, 15) (dual of [4096, 4029, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(449, 4096, F4, 11) (dual of [4096, 4047, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(472, 3658, F4, 2, 15) (dual of [(3658, 2), 7244, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(472, 3658, F4, 3, 15) (dual of [(3658, 3), 10902, 16]-NRT-code) | [i] | ||
| 3 | Digital (57, 72, 3658)-net over F4 | [i] | ||
| 4 | Linear OOA(472, 2059, F4, 2, 15) (dual of [(2059, 2), 4046, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(472, 1373, F4, 3, 15) (dual of [(1373, 3), 4047, 16]-NRT-code) | [i] | ||