Information on Result #683055
Linear OA(5125, 3149, F5, 30) (dual of [3149, 3024, 31]-code), using construction X applied to Ce(30) ⊂ Ce(25) based on
- linear OA(5121, 3125, F5, 31) (dual of [3125, 3004, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(54, 24, F5, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,5)), 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 OOA(5125, 1574, F5, 2, 30) (dual of [(1574, 2), 3023, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5125, 1049, F5, 3, 30) (dual of [(1049, 3), 3022, 31]-NRT-code) | [i] | ||