Information on Result #699059
Linear OA(6453, 822, F64, 28) (dual of [822, 769, 29]-code), using construction X applied to Ce(27) ⊂ Ce(26) based on
- linear OA(6453, 820, F64, 28) (dual of [820, 767, 29]-code), using an extension Ce(27) of the narrow-sense BCH-code C(I) with length 819 | 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(6451, 820, F64, 27) (dual of [820, 769, 28]-code), using an extension Ce(26) of the narrow-sense BCH-code C(I) with length 819 | 642−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(6453, 411, F64, 2, 28) (dual of [(411, 2), 769, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6453, 274, F64, 3, 28) (dual of [(274, 3), 769, 29]-NRT-code) | [i] | ||