Information on Result #736897
Linear OA(3206, 59114, F3, 29) (dual of [59114, 58908, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
- 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(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(315, 65, F3, 6) (dual of [65, 50, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-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(3208, 59116, F3, 29) (dual of [59116, 58908, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3209, 59117, F3, 29) (dual of [59117, 58908, 30]-code) | [i] | ||
| 3 | Linear OOA(3206, 29557, F3, 2, 29) (dual of [(29557, 2), 58908, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3206, 19704, F3, 3, 29) (dual of [(19704, 3), 58906, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(3206, 14778, F3, 4, 29) (dual of [(14778, 4), 58906, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(3206, 11822, F3, 5, 29) (dual of [(11822, 5), 58904, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(3206, 4222, F3, 29, 29) (dual of [(4222, 29), 122232, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |