Information on Result #2495811
Linear OOA(4258, large, F4, 2, 20), using 20 times NRT-code embedding in larger space based on linear OOA(4218, 8388602, F4, 2, 20) (dual of [(8388602, 2), 16776986, 21]-NRT-code), using
- trace code [i] based on linear OOA(16109, 4194301, F16, 2, 20) (dual of [(4194301, 2), 8388493, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16109, 8388602, F16, 20) (dual of [8388602, 8388493, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(16109, large, F16, 20) (dual of [large, large−109, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(16109, large, F16, 20) (dual of [large, large−109, 21]-code), using
- OOA 2-folding [i] based on linear OA(16109, 8388602, F16, 20) (dual of [8388602, 8388493, 21]-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(4259, large, F4, 2, 20) | [i] | OOA Duplication | |