Information on Result #730005
Linear OA(6479, 589, F64, 42) (dual of [589, 510, 43]-code), using construction XX applied to C1 = C([44,84]), C2 = C([43,83]), C3 = C1 + C2 = C([44,83]), and C∩ = C1 ∩ C2 = C([43,84]) based on
- linear OA(6477, 585, F64, 41) (dual of [585, 508, 42]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {44,45,…,84}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(6477, 585, F64, 41) (dual of [585, 508, 42]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {43,44,…,83}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(6479, 585, F64, 42) (dual of [585, 506, 43]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {43,44,…,84}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(6475, 585, F64, 40) (dual of [585, 510, 41]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {44,45,…,83}, and designed minimum distance d ≥ |I|+1 = 41 [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(6479, 294, F64, 2, 42) (dual of [(294, 2), 509, 43]-NRT-code) | [i] | OOA Folding | |