Information on Result #737648
Linear OA(5112, 3161, F5, 26) (dual of [3161, 3049, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
- 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(576, 3125, F5, 19) (dual of [3125, 3049, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(511, 36, F5, 6) (dual of [36, 25, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-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(5114, 3163, F5, 26) (dual of [3163, 3049, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5112, 1580, F5, 2, 26) (dual of [(1580, 2), 3048, 27]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5112, 1053, F5, 3, 26) (dual of [(1053, 3), 3047, 27]-NRT-code) | [i] | ||