Information on Result #721293
Linear OA(1649, 90, F16, 30) (dual of [90, 41, 31]-code), using construction X applied to C([10,39]) ⊂ C([12,39]) based on
- linear OA(1648, 85, F16, 30) (dual of [85, 37, 31]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {10,11,…,39}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(1644, 85, F16, 28) (dual of [85, 41, 29]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {12,13,…,39}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 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(1649, 45, F16, 2, 30) (dual of [(45, 2), 41, 31]-NRT-code) | [i] | OOA Folding | |