Information on Result #674937
Linear OA(3107, 59085, F3, 15) (dual of [59085, 58978, 16]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
- 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(371, 59049, F3, 11) (dual of [59049, 58978, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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 OOA(3107, 29542, F3, 2, 15) (dual of [(29542, 2), 58977, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3107, 19695, F3, 3, 15) (dual of [(19695, 3), 58978, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(3107, 14771, F3, 4, 15) (dual of [(14771, 4), 58977, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(3107, 11817, F3, 5, 15) (dual of [(11817, 5), 58978, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(3107, 8440, F3, 15, 15) (dual of [(8440, 15), 126493, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |