Information on Result #729871
Linear OA(6433, 459, F64, 18) (dual of [459, 426, 19]-code), using construction XX applied to C1 = C([57,73]), C2 = C([56,72]), C3 = C1 + C2 = C([57,72]), and C∩ = C1 ∩ C2 = C([56,73]) based on
- linear OA(6431, 455, F64, 17) (dual of [455, 424, 18]-code), using the BCH-code C(I) with length 455 | 642−1, defining interval I = {57,58,…,73}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6431, 455, F64, 17) (dual of [455, 424, 18]-code), using the BCH-code C(I) with length 455 | 642−1, defining interval I = {56,57,…,72}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6433, 455, F64, 18) (dual of [455, 422, 19]-code), using the BCH-code C(I) with length 455 | 642−1, defining interval I = {56,57,…,73}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6429, 455, F64, 16) (dual of [455, 426, 17]-code), using the BCH-code C(I) with length 455 | 642−1, defining interval I = {57,58,…,72}, and designed minimum distance d ≥ |I|+1 = 17 [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
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
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(6433, 229, F64, 2, 18) (dual of [(229, 2), 425, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6433, 153, F64, 3, 18) (dual of [(153, 3), 426, 19]-NRT-code) | [i] | ||