Information on Result #1060954
Linear OOA(3206, 1195755, F3, 4, 22) (dual of [(1195755, 4), 4782814, 23]-NRT-code), using OOA 4-folding based on linear OA(3206, 4783020, F3, 22) (dual of [4783020, 4782814, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(3197, 4782969, F3, 22) (dual of [4782969, 4782772, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3155, 4782969, F3, 17) (dual of [4782969, 4782814, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(3207, 1195755, F3, 4, 22) (dual of [(1195755, 4), 4782813, 23]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3205, 1195754, F3, 4, 21) (dual of [(1195754, 4), 4782811, 22]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3206, 1195755, F3, 5, 22) (dual of [(1195755, 5), 5978569, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (184, 206, 1195755)-net over F3 | [i] | ||