Information on Result #2486641
Linear OOA(3154, 29551, F3, 2, 22) (dual of [(29551, 2), 58948, 23]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3152, 29550, F3, 2, 22) (dual of [(29550, 2), 58948, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3152, 59100, F3, 22) (dual of [59100, 58948, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(311, 51, F3, 5) (dual of [51, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [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(3154, 25993, F3, 3, 22) (dual of [(25993, 3), 77825, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3154, 25993, F3, 4, 22) (dual of [(25993, 4), 103818, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(3154, 25993, F3, 5, 22) (dual of [(25993, 5), 129811, 23]-NRT-code) | [i] | ||
| 4 | Digital (132, 154, 25993)-net over F3 | [i] | ||