Information on Result #812873
Linear OOA(3103, 2391500, F3, 2, 11) (dual of [(2391500, 2), 4782897, 12]-NRT-code), using OOA 2-folding based on linear OA(3103, 4783000, F3, 11) (dual of [4783000, 4782897, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3103, 4783001, F3, 11) (dual of [4783001, 4782898, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(399, 4782969, F3, 11) (dual of [4782969, 4782870, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(371, 4782969, F3, 8) (dual of [4782969, 4782898, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(34, 32, F3, 2) (dual of [32, 28, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [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(3103, 1987533, F3, 3, 11) (dual of [(1987533, 3), 5962496, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3103, 1987533, F3, 4, 11) (dual of [(1987533, 4), 7950029, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(3103, 1987533, F3, 5, 11) (dual of [(1987533, 5), 9937562, 12]-NRT-code) | [i] | ||
| 4 | Digital (92, 103, 1987533)-net over F3 | [i] | ||