Information on Result #698834
Linear OA(6489, 4110, F64, 43) (dual of [4110, 4021, 44]-code), using construction X applied to Ce(42) ⊂ Ce(37) based on
- linear OA(6485, 4096, F64, 43) (dual of [4096, 4011, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(6475, 4096, F64, 38) (dual of [4096, 4021, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(32107, 4110, S32, 43) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6489, 2055, F64, 2, 43) (dual of [(2055, 2), 4021, 44]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6489, 1370, F64, 3, 43) (dual of [(1370, 3), 4021, 44]-NRT-code) | [i] | ||