Information on Result #684033
Linear OA(582, 130, F5, 42) (dual of [130, 48, 43]-code), using construction X applied to Ce(41) ⊂ Ce(38) based on
- linear OA(580, 125, F5, 42) (dual of [125, 45, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(577, 125, F5, 39) (dual of [125, 48, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(581, 129, F5, 41) (dual of [129, 48, 42]-code) | [i] | Truncation | |
| 2 | Linear OOA(582, 65, F5, 2, 42) (dual of [(65, 2), 48, 43]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(582, 43, F5, 3, 42) (dual of [(43, 3), 47, 43]-NRT-code) | [i] | ||