Information on Result #1069230
Linear OOA(8167, 132861, F81, 4, 23) (dual of [(132861, 4), 531377, 24]-NRT-code), using OOA 4-folding based on linear OA(8167, 531444, F81, 23) (dual of [531444, 531377, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(8167, 531441, F81, 23) (dual of [531441, 531374, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(8164, 531441, F81, 22) (dual of [531441, 531377, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(8178, 132943, F81, 4, 23) (dual of [(132943, 4), 531694, 24]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8179, 132961, F81, 4, 23) (dual of [(132961, 4), 531765, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(8180, 132977, F81, 4, 23) (dual of [(132977, 4), 531828, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(8182, 133011, F81, 4, 23) (dual of [(133011, 4), 531962, 24]-NRT-code) | [i] | ||