Information on Result #674568
Linear OA(377, 531469, F3, 10) (dual of [531469, 531392, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(373, 531441, F3, 10) (dual of [531441, 531368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(349, 531441, F3, 7) (dual of [531441, 531392, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(34, 28, F3, 2) (dual of [28, 24, 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(378, 531470, F3, 10) (dual of [531470, 531392, 11]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(377, 265734, F3, 2, 10) (dual of [(265734, 2), 531391, 11]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(377, 177156, F3, 3, 10) (dual of [(177156, 3), 531391, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(377, 132867, F3, 4, 10) (dual of [(132867, 4), 531391, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(377, 106293, F3, 5, 10) (dual of [(106293, 5), 531388, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(377, 106293, F3, 10, 10) (dual of [(106293, 10), 1062853, 11]-NRT-code) | [i] | OA Folding and Stacking | |