Information on Result #990960
Linear OOA(8116, 177148, F81, 3, 6) (dual of [(177148, 3), 531428, 7]-NRT-code), using OOA 3-folding based on linear OA(8116, 531444, F81, 6) (dual of [531444, 531428, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(8116, 531441, F81, 6) (dual of [531441, 531425, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(8113, 531441, F81, 5) (dual of [531441, 531428, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(8119, 177230, F81, 3, 6) (dual of [(177230, 3), 531671, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8120, 183710, F81, 3, 6) (dual of [(183710, 3), 551110, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(8161, 2973349, F81, 3, 12) (dual of [(2973349, 3), 8919986, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(8165, 2973349, F81, 3, 13) (dual of [(2973349, 3), 8919982, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(8180, large, F81, 3, 12) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8129, large, F81, 3, 6) | [i] | ||