Information on Result #737718
Linear OA(5109, 145, F5, 56) (dual of [145, 36, 57]-code), using construction X applied to Ce(61) ⊂ Ce(46) 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(589, 125, F5, 47) (dual of [125, 36, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(511, 20, F5, 8) (dual of [20, 9, 9]-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(5107, 143, F5, 54) (dual of [143, 36, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(5109, 72, F5, 2, 56) (dual of [(72, 2), 35, 57]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5109, 48, F5, 3, 56) (dual of [(48, 3), 35, 57]-NRT-code) | [i] | ||