Information on Result #674892
Linear OA(3205, 59073, F3, 31) (dual of [59073, 58868, 32]-code), using construction X applied to Ce(30) ⊂ Ce(27) 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(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(3206, 59074, F3, 31) (dual of [59074, 58868, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3204, 59072, F3, 30) (dual of [59072, 58868, 31]-code) | [i] | Truncation | |
| 3 | Linear OOA(3205, 29536, F3, 2, 31) (dual of [(29536, 2), 58867, 32]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3205, 19691, F3, 3, 31) (dual of [(19691, 3), 58868, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(3205, 14768, F3, 4, 31) (dual of [(14768, 4), 58867, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(3205, 11814, F3, 5, 31) (dual of [(11814, 5), 58865, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(3205, 3938, F3, 31, 31) (dual of [(3938, 31), 121873, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |