Information on Result #684086
Linear OA(584, 135, F5, 42) (dual of [135, 51, 43]-code), using construction X applied to Ce(41) ⊂ Ce(37) 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(574, 125, F5, 38) (dual of [125, 51, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(54, 10, F5, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,5)), 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(583, 134, F5, 41) (dual of [134, 51, 42]-code) | [i] | Truncation | |
| 2 | Linear OOA(584, 67, F5, 2, 42) (dual of [(67, 2), 50, 43]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(584, 45, F5, 3, 42) (dual of [(45, 3), 51, 43]-NRT-code) | [i] | ||