Information on Result #698993
Linear OA(6491, 4134, F64, 40) (dual of [4134, 4043, 41]-code), using construction X applied to Ce(39) ⊂ Ce(26) based on
- linear OA(6479, 4096, F64, 40) (dual of [4096, 4017, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(6453, 4096, F64, 27) (dual of [4096, 4043, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(6412, 38, F64, 12) (dual of [38, 26, 13]-code or 38-arc in PG(11,64)), using
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
- Reed–Solomon code RS(52,64) [i]
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), 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(32110, 4134, S32, 40) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6491, 2067, F64, 2, 40) (dual of [(2067, 2), 4043, 41]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6491, 1378, F64, 3, 40) (dual of [(1378, 3), 4043, 41]-NRT-code) | [i] | ||