Information on Result #903862
Linear OOA(6487, 4194446, F64, 2, 19) (dual of [(4194446, 2), 8388805, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6414, 145, F64, 2, 9) (dual of [(145, 2), 276, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(644, 65, F64, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;126,64) [i]
- linear OOA(6410, 80, F64, 2, 9) (dual of [(80, 2), 150, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,150P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(644, 65, F64, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6473, 4194301, F64, 2, 19) (dual of [(4194301, 2), 8388529, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6473, 8388602, F64, 19) (dual of [8388602, 8388529, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- OOA 2-folding [i] based on linear OA(6473, 8388602, F64, 19) (dual of [8388602, 8388529, 20]-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
None.