Information on Result #674902
Linear OA(3125, 59073, F3, 19) (dual of [59073, 58948, 20]-code), using construction X applied to Ce(18) ⊂ Ce(15) based on
- linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3126, 59074, F3, 19) (dual of [59074, 58948, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3125, 29536, F3, 2, 19) (dual of [(29536, 2), 58947, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3125, 19691, F3, 3, 19) (dual of [(19691, 3), 58948, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3125, 14768, F3, 4, 19) (dual of [(14768, 4), 58947, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(3125, 11814, F3, 5, 19) (dual of [(11814, 5), 58945, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(3125, 6563, F3, 19, 19) (dual of [(6563, 19), 124572, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |