Information on Result #903833
Linear OOA(6484, 4194461, F64, 2, 18) (dual of [(4194461, 2), 8388838, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6415, 160, F64, 2, 9) (dual of [(160, 2), 305, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(645, 80, F64, 2, 4) (dual of [(80, 2), 155, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,155P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- 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 (see above)
- linear OOA(645, 80, F64, 2, 4) (dual of [(80, 2), 155, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6469, 4194301, F64, 2, 18) (dual of [(4194301, 2), 8388533, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6469, 8388602, F64, 18) (dual of [8388602, 8388533, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- OOA 2-folding [i] based on linear OA(6469, 8388602, F64, 18) (dual of [8388602, 8388533, 19]-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.