Information on Result #961628
Linear OOA(4180, 4194301, F4, 3, 16) (dual of [(4194301, 3), 12582723, 17]-NRT-code), using OOA 2-folding based on linear OOA(4180, 8388602, F4, 2, 16) (dual of [(8388602, 2), 16777024, 17]-NRT-code), using
- trace code [i] based on linear OOA(1690, 4194301, F16, 2, 16) (dual of [(4194301, 2), 8388512, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1690, 8388602, F16, 16) (dual of [8388602, 8388512, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1690, large, F16, 16) (dual of [large, large−90, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(1690, large, F16, 16) (dual of [large, large−90, 17]-code), using
- OOA 2-folding [i] based on linear OA(1690, 8388602, F16, 16) (dual of [8388602, 8388512, 17]-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(4181, 4194301, F4, 3, 16) (dual of [(4194301, 3), 12582722, 17]-NRT-code) | [i] | OOA Duplication | |