Information on Result #684022
Linear OA(5113, 143, F5, 62) (dual of [143, 30, 63]-code), using construction X applied to Ce(61) ⊂ Ce(48) based on
- linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(595, 125, F5, 49) (dual of [125, 30, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(515, 18, F5, 12) (dual of [18, 3, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(515, 19, F5, 12) (dual of [19, 4, 13]-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(5112, 142, F5, 61) (dual of [142, 30, 62]-code) | [i] | Truncation | |
| 2 | Linear OA(5110, 140, F5, 59) (dual of [140, 30, 60]-code) | [i] | ||
| 3 | Linear OOA(5113, 71, F5, 2, 62) (dual of [(71, 2), 29, 63]-NRT-code) | [i] | OOA Folding | |