Information on Result #674729
Linear OA(393, 177173, F3, 13) (dual of [177173, 177080, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
- linear OA(389, 177147, F3, 13) (dual of [177147, 177058, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(367, 177147, F3, 10) (dual of [177147, 177080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(394, 177174, F3, 13) (dual of [177174, 177080, 14]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(393, 88586, F3, 2, 13) (dual of [(88586, 2), 177079, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(393, 59057, F3, 3, 13) (dual of [(59057, 3), 177078, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(393, 44293, F3, 4, 13) (dual of [(44293, 4), 177079, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(393, 35434, F3, 5, 13) (dual of [(35434, 5), 177077, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(393, 29528, F3, 13, 13) (dual of [(29528, 13), 383771, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |