Information on Result #2687738
Linear OOA(4248, 4194303, F4, 3, 22) (dual of [(4194303, 3), 12582661, 23]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(4242, 4194301, F4, 3, 22) (dual of [(4194301, 3), 12582661, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(4242, 8388602, F4, 2, 22) (dual of [(8388602, 2), 16776962, 23]-NRT-code), using
- trace code [i] based on linear OOA(16121, 4194301, F16, 2, 22) (dual of [(4194301, 2), 8388481, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16121, 8388602, F16, 22) (dual of [8388602, 8388481, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(16121, large, F16, 22) (dual of [large, large−121, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(16121, large, F16, 22) (dual of [large, large−121, 23]-code), using
- OOA 2-folding [i] based on linear OA(16121, 8388602, F16, 22) (dual of [8388602, 8388481, 23]-code), using
- trace code [i] based on linear OOA(16121, 4194301, F16, 2, 22) (dual of [(4194301, 2), 8388481, 23]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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(4249, 4194303, F4, 3, 22) (dual of [(4194303, 3), 12582660, 23]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4250, 4194303, F4, 3, 22) (dual of [(4194303, 3), 12582659, 23]-NRT-code) | [i] | ||