Information on Result #698846
Linear OA(6465, 4110, F64, 31) (dual of [4110, 4045, 32]-code), using construction X applied to Ce(30) ⊂ Ce(25) based on
- linear OA(6461, 4096, F64, 31) (dual of [4096, 4035, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(8130, 8220, F8, 31) (dual of [8220, 8090, 32]-code) | [i] | Trace Code | |
| 2 | OA(3278, 4110, S32, 31) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(6465, 2055, F64, 2, 31) (dual of [(2055, 2), 4045, 32]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(6465, 1370, F64, 3, 31) (dual of [(1370, 3), 4045, 32]-NRT-code) | [i] | ||