Information on Result #814273
Linear OOA(3114, 1097, F3, 2, 25) (dual of [(1097, 2), 2080, 26]-NRT-code), using OOA 2-folding based on linear OA(3114, 2194, F3, 25) (dual of [2194, 2080, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3114, 2195, F3, 25) (dual of [2195, 2081, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(3113, 2187, F3, 25) (dual of [2187, 2074, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3106, 2187, F3, 23) (dual of [2187, 2081, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 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(3114, 1097, F3, 3, 25) (dual of [(1097, 3), 3177, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3114, 1097, F3, 4, 25) (dual of [(1097, 4), 4274, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3114, 1097, F3, 5, 25) (dual of [(1097, 5), 5371, 26]-NRT-code) | [i] | ||
| 4 | Digital (89, 114, 1097)-net over F3 | [i] | ||