Information on Result #699072
Linear OA(6477, 824, F64, 40) (dual of [824, 747, 41]-code), using construction X applied to Ce(39) ⊂ Ce(37) based on
- 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(6473, 820, F64, 38) (dual of [820, 747, 39]-code), using an extension Ce(37) of the narrow-sense BCH-code C(I) with length 819 | 642−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(641, 4, F64, 1) (dual of [4, 3, 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(6477, 412, F64, 2, 40) (dual of [(412, 2), 747, 41]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6477, 274, F64, 3, 40) (dual of [(274, 3), 745, 41]-NRT-code) | [i] | ||