Information on Result #812874
Linear OOA(3104, 2391501, F3, 2, 11) (dual of [(2391501, 2), 4782898, 12]-NRT-code), using OOA 2-folding based on linear OA(3104, 4783002, F3, 11) (dual of [4783002, 4782898, 12]-code), using
- 1 times code embedding in larger space [i] 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(3104, 2280104, F3, 3, 11) (dual of [(2280104, 3), 6840208, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3104, 2280104, F3, 4, 11) (dual of [(2280104, 4), 9120312, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(3104, 2280104, F3, 5, 11) (dual of [(2280104, 5), 11400416, 12]-NRT-code) | [i] | ||
| 4 | Digital (93, 104, 2280104)-net over F3 | [i] | ||