Information on Result #684129
Linear OA(584, 138, F5, 41) (dual of [138, 54, 42]-code), using construction X applied to Ce(41) ⊂ Ce(36) 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(571, 125, F5, 37) (dual of [125, 54, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-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(584, 138, F5, 40) (dual of [138, 54, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(583, 137, F5, 40) (dual of [137, 54, 41]-code) | [i] | Truncation | |
| 3 | Linear OOA(584, 69, F5, 2, 41) (dual of [(69, 2), 54, 42]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(584, 46, F5, 3, 41) (dual of [(46, 3), 54, 42]-NRT-code) | [i] | ||