Information on Result #2515435
Linear OOA(1682, large, F16, 2, 6), using 25 times NRT-code embedding in larger space based on linear OOA(1632, 8388602, F16, 2, 6) (dual of [(8388602, 2), 16777172, 7]-NRT-code), using
- trace code [i] based on linear OOA(25616, 4194301, F256, 2, 6) (dual of [(4194301, 2), 8388586, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25616, 8388602, F256, 6) (dual of [8388602, 8388586, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- OOA 2-folding [i] based on linear OA(25616, 8388602, F256, 6) (dual of [8388602, 8388586, 7]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(1683, large, F16, 2, 6) | [i] | OOA Duplication | |