Information on Result #2486737
Linear OOA(3164, 29551, F3, 2, 23) (dual of [(29551, 2), 58938, 24]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3162, 29550, F3, 2, 23) (dual of [(29550, 2), 58938, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3162, 59100, F3, 23) (dual of [59100, 58938, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(3151, 59049, F3, 23) (dual of [59049, 58898, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3111, 59049, F3, 17) (dual of [59049, 58938, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(22) ⊂ Ce(16) [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(3165, 29551, F3, 2, 23) (dual of [(29551, 2), 58937, 24]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3164, 29551, F3, 3, 23) (dual of [(29551, 3), 88489, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3164, 29551, F3, 4, 23) (dual of [(29551, 4), 118040, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(3164, 29551, F3, 5, 23) (dual of [(29551, 5), 147591, 24]-NRT-code) | [i] | ||
| 5 | Digital (141, 164, 29551)-net over F3 | [i] | ||