Information on Result #699089
Linear OA(6434, 318, F64, 19) (dual of [318, 284, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(6434, 316, F64, 19) (dual of [316, 282, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6432, 316, F64, 18) (dual of [316, 284, 19]-code), using an extension Ce(17) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-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(6434, 159, F64, 2, 19) (dual of [(159, 2), 284, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6434, 106, F64, 3, 19) (dual of [(106, 3), 284, 20]-NRT-code) | [i] | ||