Information on Result #698856
Linear OA(6445, 4110, F64, 21) (dual of [4110, 4065, 22]-code), using construction X applied to Ce(20) ⊂ Ce(15) based on
- linear OA(6441, 4096, F64, 21) (dual of [4096, 4055, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(6431, 4096, F64, 16) (dual of [4096, 4065, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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 OA(890, 8220, F8, 21) (dual of [8220, 8130, 22]-code) | [i] | Trace Code | |
| 2 | OA(3254, 4110, S32, 21) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(6445, 2055, F64, 2, 21) (dual of [(2055, 2), 4065, 22]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(6445, 1370, F64, 3, 21) (dual of [(1370, 3), 4065, 22]-NRT-code) | [i] | ||