Information on Result #953384
Linear OOA(3193, 177151, F3, 3, 24) (dual of [(177151, 3), 531260, 25]-NRT-code), using OOA 3-folding based on linear OA(3193, 531453, F3, 24) (dual of [531453, 531260, 25]-code), using
- 1 times truncation [i] based on linear OA(3194, 531454, F3, 25) (dual of [531454, 531260, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(3193, 531441, F3, 25) (dual of [531441, 531248, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3181, 531441, F3, 23) (dual of [531441, 531260, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
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(3193, 141537, F3, 4, 24) (dual of [(141537, 4), 565955, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3193, 141537, F3, 5, 24) (dual of [(141537, 5), 707492, 25]-NRT-code) | [i] | ||
| 3 | Digital (169, 193, 141537)-net over F3 | [i] | ||