Information on Result #2246794
Linear OA(564, 3143, F5, 15) (dual of [3143, 3079, 16]-code), using 1 times truncation based on linear OA(565, 3144, F5, 16) (dual of [3144, 3079, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(546, 3125, F5, 12) (dual of [3125, 3079, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-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 OOA(564, 1571, F5, 2, 15) (dual of [(1571, 2), 3078, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(564, 1047, F5, 3, 15) (dual of [(1047, 3), 3077, 16]-NRT-code) | [i] | ||