Information on Result #962232
Linear OOA(4254, 4194301, F4, 3, 23) (dual of [(4194301, 3), 12582649, 24]-NRT-code), using OOA 2-folding based on linear OOA(4254, 8388602, F4, 2, 23) (dual of [(8388602, 2), 16776950, 24]-NRT-code), using
- trace code [i] based on linear OOA(16127, 4194301, F16, 2, 23) (dual of [(4194301, 2), 8388475, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16127, 8388602, F16, 23) (dual of [8388602, 8388475, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(16127, large, F16, 23) (dual of [large, large−127, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(16127, large, F16, 23) (dual of [large, large−127, 24]-code), using
- OOA 2-folding [i] based on linear OA(16127, 8388602, F16, 23) (dual of [8388602, 8388475, 24]-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(4257, 4194302, F4, 3, 23) (dual of [(4194302, 3), 12582649, 24]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4260, 4194303, F4, 3, 23) (dual of [(4194303, 3), 12582649, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(4255, 4194301, F4, 3, 23) (dual of [(4194301, 3), 12582648, 24]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4256, 4194301, F4, 3, 23) (dual of [(4194301, 3), 12582647, 24]-NRT-code) | [i] | ||