Information on Result #679110
Linear OA(4244, 16410, F4, 46) (dual of [16410, 16166, 47]-code), using construction X applied to Ce(45) ⊂ Ce(41) based on
- linear OA(4239, 16384, F4, 46) (dual of [16384, 16145, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4218, 16384, F4, 42) (dual of [16384, 16166, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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(4244, 12121, F4, 2, 46) (dual of [(12121, 2), 23998, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4244, 12121, F4, 3, 46) (dual of [(12121, 3), 36119, 47]-NRT-code) | [i] | ||
| 3 | Digital (198, 244, 12121)-net over F4 | [i] | ||
| 4 | Linear OOA(4244, 8205, F4, 2, 46) (dual of [(8205, 2), 16166, 47]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4244, 5470, F4, 3, 46) (dual of [(5470, 3), 16166, 47]-NRT-code) | [i] | ||