Information on Result #684073
Linear OA(5114, 145, F5, 62) (dual of [145, 31, 63]-code), using construction X applied to Ce(61) ⊂ Ce(47) 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(592, 125, F5, 48) (dual of [125, 33, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(516, 20, F5, 13) (dual of [20, 4, 14]-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(5113, 144, F5, 61) (dual of [144, 31, 62]-code) | [i] | Truncation | |
| 2 | Linear OA(5112, 143, F5, 60) (dual of [143, 31, 61]-code) | [i] | ||
| 3 | Linear OA(5111, 142, F5, 59) (dual of [142, 31, 60]-code) | [i] | ||
| 4 | Linear OOA(5114, 72, F5, 2, 62) (dual of [(72, 2), 30, 63]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5114, 48, F5, 3, 62) (dual of [(48, 3), 30, 63]-NRT-code) | [i] | ||