Information on Result #721268
Linear OA(1642, 90, F16, 25) (dual of [90, 48, 26]-code), using construction X applied to C([4,28]) ⊂ C([6,28]) based on
- linear OA(1641, 85, F16, 25) (dual of [85, 44, 26]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {4,5,…,28}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1637, 85, F16, 23) (dual of [85, 48, 24]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,28}, and designed minimum distance d ≥ |I|+1 = 24 [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(1642, 45, F16, 2, 25) (dual of [(45, 2), 48, 26]-NRT-code) | [i] | OOA Folding | |