Information on Result #1059626
Linear OOA(350, 548, F3, 4, 11) (dual of [(548, 4), 2142, 12]-NRT-code), using OOA 4-folding based on linear OA(350, 2192, F3, 11) (dual of [2192, 2142, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(350, 2194, F3, 11) (dual of [2194, 2144, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(350, 2187, F3, 11) (dual of [2187, 2137, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [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(351, 548, F3, 4, 11) (dual of [(548, 4), 2141, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(355, 552, F3, 4, 11) (dual of [(552, 4), 2153, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(356, 555, F3, 4, 11) (dual of [(555, 4), 2164, 12]-NRT-code) | [i] | ||