Information on Result #674890
Linear OA(3215, 59073, F3, 32) (dual of [59073, 58858, 33]-code), using construction X applied to Ce(31) ⊂ Ce(28) based on
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3191, 59049, F3, 29) (dual of [59049, 58858, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(34, 24, F3, 2) (dual of [24, 20, 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(3216, 59074, F3, 32) (dual of [59074, 58858, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3215, 29536, F3, 2, 32) (dual of [(29536, 2), 58857, 33]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3215, 19691, F3, 3, 32) (dual of [(19691, 3), 58858, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3215, 14768, F3, 4, 32) (dual of [(14768, 4), 58857, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(3215, 11814, F3, 5, 32) (dual of [(11814, 5), 58855, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(3215, 3692, F3, 32, 32) (dual of [(3692, 32), 117929, 33]-NRT-code) | [i] | OA Folding and Stacking | |