Information on Result #2247081
Linear OA(584, 3143, F5, 20) (dual of [3143, 3059, 21]-code), using 1 times truncation based on linear OA(585, 3144, F5, 21) (dual of [3144, 3059, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- linear OA(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(584, 3143, F5, 2, 20) (dual of [(3143, 2), 6202, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(584, 3143, F5, 3, 20) (dual of [(3143, 3), 9345, 21]-NRT-code) | [i] | ||
| 3 | Digital (64, 84, 3143)-net over F5 | [i] | ||
| 4 | Linear OOA(584, 1571, F5, 2, 20) (dual of [(1571, 2), 3058, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(584, 1047, F5, 3, 20) (dual of [(1047, 3), 3057, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(584, 314, F5, 20, 20) (dual of [(314, 20), 6196, 21]-NRT-code) | [i] | OA Folding and Stacking | |