Information on Result #699070
Linear OA(6481, 825, F64, 42) (dual of [825, 744, 43]-code), using construction X applied to Ce(41) ⊂ Ce(39) based on
- linear OA(6480, 820, F64, 42) (dual of [820, 740, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 819 | 642−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(6476, 820, F64, 40) (dual of [820, 744, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 819 | 642−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(6481, 412, F64, 2, 42) (dual of [(412, 2), 743, 43]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6481, 275, F64, 3, 42) (dual of [(275, 3), 744, 43]-NRT-code) | [i] | ||