Information on Result #2486746
Linear OOA(3178, 88601, F3, 2, 23) (dual of [(88601, 2), 177024, 24]-NRT-code), using 31 times duplication based on linear OOA(3177, 88601, F3, 2, 23) (dual of [(88601, 2), 177025, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3177, 177202, F3, 23) (dual of [177202, 177025, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(3166, 177147, F3, 23) (dual of [177147, 176981, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3122, 177147, F3, 17) (dual of [177147, 177025, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 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(3178, 65587, F3, 3, 23) (dual of [(65587, 3), 196583, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3178, 65587, F3, 4, 23) (dual of [(65587, 4), 262170, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3178, 65587, F3, 5, 23) (dual of [(65587, 5), 327757, 24]-NRT-code) | [i] | ||
| 4 | Digital (155, 178, 65587)-net over F3 | [i] | ||