Information on Result #691682
Linear OA(16101, 1048616, F16, 20) (dual of [1048616, 1048515, 21]-code), using construction X applied to Ce(19) ⊂ Ce(12) based on
- linear OA(1691, 1048576, F16, 20) (dual of [1048576, 1048485, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1661, 1048576, F16, 13) (dual of [1048576, 1048515, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1610, 40, F16, 6) (dual of [40, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(1610, 85, F16, 6) (dual of [85, 75, 7]-code), 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(16101, 524308, F16, 2, 20) (dual of [(524308, 2), 1048515, 21]-NRT-code) | [i] | OOA Folding | |