Information on Result #698857
Linear OA(6443, 4110, F64, 20) (dual of [4110, 4067, 21]-code), using construction X applied to Ce(19) ⊂ Ce(14) based on
- linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6429, 4096, F64, 15) (dual of [4096, 4067, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(644, 14, F64, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), 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 | OA(3252, 4110, S32, 20) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6443, 2055, F64, 2, 20) (dual of [(2055, 2), 4067, 21]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6443, 1370, F64, 3, 20) (dual of [(1370, 3), 4067, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(6443, 411, F64, 20, 20) (dual of [(411, 20), 8177, 21]-NRT-code) | [i] | OA Folding and Stacking | |