Information on Result #674904
Linear OA(3115, 59073, F3, 17) (dual of [59073, 58958, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
- linear OA(3111, 59049, F3, 17) (dual of [59049, 58938, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(391, 59049, F3, 14) (dual of [59049, 58958, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(3116, 59074, F3, 17) (dual of [59074, 58958, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3115, 29536, F3, 2, 17) (dual of [(29536, 2), 58957, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3115, 19691, F3, 3, 17) (dual of [(19691, 3), 58958, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(3115, 14768, F3, 4, 17) (dual of [(14768, 4), 58957, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(3115, 11814, F3, 5, 17) (dual of [(11814, 5), 58955, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(3115, 7384, F3, 17, 17) (dual of [(7384, 17), 125413, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |