Information on Result #683023
Linear OA(5135, 3144, F5, 33) (dual of [3144, 3009, 34]-code), using construction X applied to Ce(32) ⊂ Ce(28) based on
- linear OA(5131, 3125, F5, 33) (dual of [3125, 2994, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(5116, 3125, F5, 29) (dual of [3125, 3009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-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(5135, 1572, F5, 2, 33) (dual of [(1572, 2), 3009, 34]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5135, 1048, F5, 3, 33) (dual of [(1048, 3), 3009, 34]-NRT-code) | [i] | ||