Information on Result #674895
Linear OA(3175, 59073, F3, 26) (dual of [59073, 58898, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(3171, 59049, F3, 26) (dual of [59049, 58878, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(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(3176, 59074, F3, 26) (dual of [59074, 58898, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3175, 29536, F3, 2, 26) (dual of [(29536, 2), 58897, 27]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3175, 19691, F3, 3, 26) (dual of [(19691, 3), 58898, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3175, 14768, F3, 4, 26) (dual of [(14768, 4), 58897, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(3175, 11814, F3, 5, 26) (dual of [(11814, 5), 58895, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(3175, 4544, F3, 26, 26) (dual of [(4544, 26), 117969, 27]-NRT-code) | [i] | OA Folding and Stacking | |