Information on Result #902268
Linear OOA(32107, 4194345, F32, 2, 20) (dual of [(4194345, 2), 8388583, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3211, 44, F32, 2, 10) (dual of [(44, 2), 77, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,77P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3296, 4194301, F32, 2, 20) (dual of [(4194301, 2), 8388506, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3296, 8388602, F32, 20) (dual of [8388602, 8388506, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3296, large, F32, 20) (dual of [large, large−96, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3296, large, F32, 20) (dual of [large, large−96, 21]-code), using
- OOA 2-folding [i] based on linear OA(3296, 8388602, F32, 20) (dual of [8388602, 8388506, 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(32108, 4194345, F32, 2, 20) (dual of [(4194345, 2), 8388582, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(32107, 838868, F32, 22, 20) (dual of [(838868, 22), 18454989, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |