Information on Result #698813
Linear OA(6413, 4104, F64, 6) (dual of [4104, 4091, 7]-code), using construction X applied to Ce(5) ⊂ Ce(2) based on
- linear OA(6411, 4096, F64, 6) (dual of [4096, 4085, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(645, 4096, F64, 3) (dual of [4096, 4091, 4]-code or 4096-cap in PG(4,64)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(642, 8, F64, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), 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(6413, 2052, F64, 2, 6) (dual of [(2052, 2), 4091, 7]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6413, 1368, F64, 3, 6) (dual of [(1368, 3), 4091, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(6413, 1368, F64, 6, 6) (dual of [(1368, 6), 8195, 7]-NRT-code) | [i] | OA Folding and Stacking | |