Information on Result #964594
Linear OOA(4204, 1373, F4, 3, 45) (dual of [(1373, 3), 3915, 46]-NRT-code), using OOA 3-folding based on linear OA(4204, 4119, F4, 45) (dual of [4119, 3915, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(40) [i] based on
- linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4181, 4096, F4, 41) (dual of [4096, 3915, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(4205, 1373, F4, 3, 45) (dual of [(1373, 3), 3914, 46]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4203, 1372, F4, 3, 44) (dual of [(1372, 3), 3913, 45]-NRT-code) | [i] | Truncation for OOAs | |