Information on Result #674727
Linear OA(3104, 177173, F3, 14) (dual of [177173, 177069, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
- linear OA(3100, 177147, F3, 14) (dual of [177147, 177047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(378, 177147, F3, 11) (dual of [177147, 177069, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(34, 26, F3, 2) (dual of [26, 22, 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
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 OA(3105, 177174, F3, 14) (dual of [177174, 177069, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3104, 88586, F3, 2, 14) (dual of [(88586, 2), 177068, 15]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3104, 59057, F3, 3, 14) (dual of [(59057, 3), 177067, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3104, 44293, F3, 4, 14) (dual of [(44293, 4), 177068, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(3104, 35434, F3, 5, 14) (dual of [(35434, 5), 177066, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(3104, 25310, F3, 14, 14) (dual of [(25310, 14), 354236, 15]-NRT-code) | [i] | OA Folding and Stacking | |