Information on Result #698952
Linear OA(6443, 4122, F64, 18) (dual of [4122, 4079, 19]-code), using construction X applied to Ce(17) ⊂ Ce(8) based on
- linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6417, 4096, F64, 9) (dual of [4096, 4079, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(648, 26, F64, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,64)), using
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- Reed–Solomon code RS(56,64) [i]
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), 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(6443, 2061, F64, 2, 18) (dual of [(2061, 2), 4079, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6443, 1374, F64, 3, 18) (dual of [(1374, 3), 4079, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(6443, 458, F64, 18, 18) (dual of [(458, 18), 8201, 19]-NRT-code) | [i] | OA Folding and Stacking | |