Information on Result #684071
Linear OA(5115, 145, F5, 63) (dual of [145, 30, 64]-code), using construction X applied to Ce(62) ⊂ Ce(48) based on
- linear OA(599, 125, F5, 63) (dual of [125, 26, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [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(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(5116, 146, F5, 63) (dual of [146, 30, 64]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5115, 72, F5, 2, 63) (dual of [(72, 2), 29, 64]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5115, 48, F5, 3, 63) (dual of [(48, 3), 29, 64]-NRT-code) | [i] | ||