Information on Result #737675
Linear OA(5107, 3166, F5, 24) (dual of [3166, 3059, 25]-code), using construction X applied to Ce(23) ⊂ Ce(16) based on
- linear OA(596, 3125, F5, 24) (dual of [3125, 3029, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(511, 41, F5, 6) (dual of [41, 30, 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(5109, 3168, F5, 24) (dual of [3168, 3059, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5107, 1583, F5, 2, 24) (dual of [(1583, 2), 3059, 25]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5107, 1055, F5, 3, 24) (dual of [(1055, 3), 3058, 25]-NRT-code) | [i] | ||