Information on Result #902230
Linear OOA(32106, 4194389, F32, 2, 19) (dual of [(4194389, 2), 8388672, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3215, 88, F32, 2, 9) (dual of [(88, 2), 161, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(325, 44, F32, 2, 4) (dual of [(44, 2), 83, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,83P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3210, 44, F32, 2, 9) (dual of [(44, 2), 78, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,78P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (see above)
- linear OOA(325, 44, F32, 2, 4) (dual of [(44, 2), 83, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3291, 4194301, F32, 2, 19) (dual of [(4194301, 2), 8388511, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3291, 8388602, F32, 19) (dual of [8388602, 8388511, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3291, large, F32, 19) (dual of [large, large−91, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, 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(3291, large, F32, 19) (dual of [large, large−91, 20]-code), using
- OOA 2-folding [i] based on linear OA(3291, 8388602, F32, 19) (dual of [8388602, 8388511, 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.