Information on Result #679134
Linear OA(4118, 16410, F4, 22) (dual of [16410, 16292, 23]-code), using construction X applied to Ce(21) ⊂ Ce(17) based on
- linear OA(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(4118, 9194, F4, 2, 22) (dual of [(9194, 2), 18270, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4118, 9194, F4, 3, 22) (dual of [(9194, 3), 27464, 23]-NRT-code) | [i] | ||
| 3 | Digital (96, 118, 9194)-net over F4 | [i] | ||
| 4 | Linear OOA(4118, 8205, F4, 2, 22) (dual of [(8205, 2), 16292, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4118, 5470, F4, 3, 22) (dual of [(5470, 3), 16292, 23]-NRT-code) | [i] | ||