Information on Result #953386
Linear OOA(3195, 177156, F3, 3, 24) (dual of [(177156, 3), 531273, 25]-NRT-code), using OOA 3-folding based on linear OA(3195, 531468, F3, 24) (dual of [531468, 531273, 25]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3194, 531467, F3, 24) (dual of [531467, 531273, 25]-code), using
- construction X4 applied to Ce(24) ⊂ Ce(21) [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(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(325, 26, F3, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)), using
- dual of repetition code with length 26 [i]
- linear OA(31, 26, F3, 1) (dual of [26, 25, 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 X4 applied to Ce(24) ⊂ Ce(21) [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(3198, 177157, F3, 3, 24) (dual of [(177157, 3), 531273, 25]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3196, 177156, F3, 3, 24) (dual of [(177156, 3), 531272, 25]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3195, 157975, F3, 4, 24) (dual of [(157975, 4), 631705, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3195, 157975, F3, 5, 24) (dual of [(157975, 5), 789680, 25]-NRT-code) | [i] | ||
| 5 | Digital (171, 195, 157975)-net over F3 | [i] | ||