Information on Result #2520062
Linear OOA(3291, 4194345, F32, 2, 17) (dual of [(4194345, 2), 8388599, 18]-NRT-code), using 321 times duplication based on linear OOA(3290, 4194345, F32, 2, 17) (dual of [(4194345, 2), 8388600, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(329, 44, F32, 2, 8) (dual of [(44, 2), 79, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,79P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3281, 4194301, F32, 2, 17) (dual of [(4194301, 2), 8388521, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3281, 8388602, F32, 17) (dual of [8388602, 8388521, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3281, large, F32, 17) (dual of [large, large−81, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3281, large, F32, 17) (dual of [large, large−81, 18]-code), using
- OOA 2-folding [i] based on linear OA(3281, 8388602, F32, 17) (dual of [8388602, 8388521, 18]-code), using
- linear OOA(329, 44, F32, 2, 8) (dual of [(44, 2), 79, 9]-NRT-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.