Information on Result #698867
Linear OA(6423, 4110, F64, 10) (dual of [4110, 4087, 11]-code), using construction X applied to Ce(9) ⊂ Ce(4) based on
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(649, 4096, F64, 5) (dual of [4096, 4087, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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 | Linear OOA(6423, 2055, F64, 2, 10) (dual of [(2055, 2), 4087, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6423, 1370, F64, 3, 10) (dual of [(1370, 3), 4087, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(6423, 822, F64, 10, 10) (dual of [(822, 10), 8197, 11]-NRT-code) | [i] | OA Folding and Stacking | |