Information on Result #736896
Linear OA(3217, 59115, F3, 31) (dual of [59115, 58898, 32]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
- linear OA(3201, 59049, F3, 31) (dual of [59049, 58848, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3151, 59049, F3, 23) (dual of [59049, 58898, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(316, 66, F3, 7) (dual of [66, 50, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-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(3219, 59117, F3, 31) (dual of [59117, 58898, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3220, 59118, F3, 31) (dual of [59118, 58898, 32]-code) | [i] | ||
| 3 | Linear OA(3216, 59114, F3, 30) (dual of [59114, 58898, 31]-code) | [i] | Truncation | |
| 4 | Linear OOA(3217, 29557, F3, 2, 31) (dual of [(29557, 2), 58897, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3217, 19705, F3, 3, 31) (dual of [(19705, 3), 58898, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(3217, 14778, F3, 4, 31) (dual of [(14778, 4), 58895, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(3217, 11823, F3, 5, 31) (dual of [(11823, 5), 58898, 32]-NRT-code) | [i] | ||