Information on Result #902042
Linear OOA(3279, 4194345, F32, 2, 15) (dual of [(4194345, 2), 8388611, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(328, 44, F32, 2, 7) (dual of [(44, 2), 80, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,80P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3271, 4194301, F32, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3271, 8388602, F32, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3271, large, F32, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3271, large, F32, 15) (dual of [large, large−71, 16]-code), using
- OOA 2-folding [i] based on linear OA(3271, 8388602, F32, 15) (dual of [8388602, 8388531, 16]-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(3280, 4194345, F32, 2, 15) (dual of [(4194345, 2), 8388610, 16]-NRT-code) | [i] | OOA Duplication | |