Information on Result #737636
Linear OA(5133, 3153, F5, 32) (dual of [3153, 3020, 33]-code), using construction X applied to Ce(31) ⊂ Ce(25) based on
- linear OA(5126, 3125, F5, 32) (dual of [3125, 2999, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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(57, 28, F5, 5) (dual of [28, 21, 6]-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 OOA(5133, 1576, F5, 2, 32) (dual of [(1576, 2), 3019, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5133, 1051, F5, 3, 32) (dual of [(1051, 3), 3020, 33]-NRT-code) | [i] | ||