Information on Result #674889
Linear OA(3225, 59073, F3, 34) (dual of [59073, 58848, 35]-code), using construction X applied to Ce(33) ⊂ Ce(30) based on
- linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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(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(3226, 59074, F3, 34) (dual of [59074, 58848, 35]-code) | [i] | Code Embedding in Larger Space | |
2 | Linear OA(3227, 59075, F3, 34) (dual of [59075, 58848, 35]-code) | [i] | ||
3 | Linear OA(3228, 59076, F3, 34) (dual of [59076, 58848, 35]-code) | [i] | ||
4 | Linear OOA(3225, 29536, F3, 2, 34) (dual of [(29536, 2), 58847, 35]-NRT-code) | [i] | OOA Folding | |
5 | Linear OOA(3225, 19691, F3, 3, 34) (dual of [(19691, 3), 58848, 35]-NRT-code) | [i] | ||
6 | Linear OOA(3225, 14768, F3, 4, 34) (dual of [(14768, 4), 58847, 35]-NRT-code) | [i] | ||
7 | Linear OOA(3225, 11814, F3, 5, 34) (dual of [(11814, 5), 58845, 35]-NRT-code) | [i] |