Information on Result #682770
Linear OA(5136, 15682, F5, 25) (dual of [15682, 15546, 26]-code), using construction X applied to Ce(25) ⊂ Ce(16) based on
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(515, 57, F5, 7) (dual of [57, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(515, 62, F5, 7) (dual of [62, 47, 8]-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(5137, 15683, F5, 25) (dual of [15683, 15546, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5136, 7841, F5, 2, 25) (dual of [(7841, 2), 15546, 26]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5136, 5227, F5, 3, 25) (dual of [(5227, 3), 15545, 26]-NRT-code) | [i] | ||