Information on Result #895659
Linear OOA(4192, 4194311, F4, 2, 20) (dual of [(4194311, 2), 8388430, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(412, 10, F4, 2, 10) (dual of [(10, 2), 8, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F4 with g(F) = 2 and N(F) ≥ 10, using
- linear OOA(4180, 4194301, F4, 2, 20) (dual of [(4194301, 2), 8388422, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4180, 8388602, F4, 20) (dual of [8388602, 8388422, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- OOA 2-folding [i] based on linear OA(4180, 8388602, F4, 20) (dual of [8388602, 8388422, 21]-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(4192, 838862, F4, 22, 20) (dual of [(838862, 22), 18454772, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |