Information on Result #2515487
Linear OOA(1640, large, F16, 2, 7), using 1 times NRT-code embedding in larger space based on linear OOA(1638, 8388602, F16, 2, 7) (dual of [(8388602, 2), 16777166, 8]-NRT-code), using
- trace code [i] based on linear OOA(25619, 4194301, F256, 2, 7) (dual of [(4194301, 2), 8388583, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25619, 8388602, F256, 7) (dual of [8388602, 8388583, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- OOA 2-folding [i] based on linear OA(25619, 8388602, F256, 7) (dual of [8388602, 8388583, 8]-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(1641, large, F16, 2, 7) | [i] | OOA Duplication | |
| 2 | Linear OOA(1640, 4194301, F16, 10, 7) (dual of [(4194301, 10), 41942970, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |