Information on Result #674900
Linear OA(3135, 59073, F3, 20) (dual of [59073, 58938, 21]-code), using construction X applied to Ce(19) ⊂ Ce(16) based on
- linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- 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(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(3136, 59074, F3, 20) (dual of [59074, 58938, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3135, 29536, F3, 2, 20) (dual of [(29536, 2), 58937, 21]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3135, 19691, F3, 3, 20) (dual of [(19691, 3), 58938, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3135, 14768, F3, 4, 20) (dual of [(14768, 4), 58937, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(3135, 11814, F3, 5, 20) (dual of [(11814, 5), 58935, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(3135, 5907, F3, 20, 20) (dual of [(5907, 20), 118005, 21]-NRT-code) | [i] | OA Folding and Stacking | |