Information on Result #674713
Linear OA(3214, 177173, F3, 29) (dual of [177173, 176959, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
- linear OA(3210, 177147, F3, 29) (dual of [177147, 176937, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(3215, 177174, F3, 29) (dual of [177174, 176959, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3214, 88586, F3, 2, 29) (dual of [(88586, 2), 176958, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3214, 59057, F3, 3, 29) (dual of [(59057, 3), 176957, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3214, 44293, F3, 4, 29) (dual of [(44293, 4), 176958, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(3214, 35434, F3, 5, 29) (dual of [(35434, 5), 176956, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(3214, 12655, F3, 29, 29) (dual of [(12655, 29), 366781, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |