Information on Result #1061283
Linear OOA(3234, 1195755, F3, 4, 25) (dual of [(1195755, 4), 4782786, 26]-NRT-code), using OOA 4-folding based on linear OA(3234, 4783020, F3, 25) (dual of [4783020, 4782786, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- linear OA(3225, 4782969, F3, 25) (dual of [4782969, 4782744, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3183, 4782969, F3, 20) (dual of [4782969, 4782786, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(39, 51, F3, 4) (dual of [51, 42, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
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(3235, 1195755, F3, 4, 25) (dual of [(1195755, 4), 4782785, 26]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3233, 1195754, F3, 4, 24) (dual of [(1195754, 4), 4782783, 25]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3234, 1195755, F3, 5, 25) (dual of [(1195755, 5), 5978541, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (209, 234, 1195755)-net over F3 | [i] | ||