Information on Result #1199156
Digital (51, 63, 1398114)-net over F32, using net defined by OOA based on linear OOA(3263, 1398114, F32, 14, 12) (dual of [(1398114, 14), 19573533, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3263, 4194343, F32, 2, 12) (dual of [(4194343, 2), 8388623, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3263, 4194345, F32, 2, 12) (dual of [(4194345, 2), 8388627, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(327, 44, F32, 2, 6) (dual of [(44, 2), 81, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,81P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3256, 4194301, F32, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3256, 8388602, F32, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3256, large, F32, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(3256, large, F32, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(3256, 8388602, F32, 12) (dual of [8388602, 8388546, 13]-code), using
- linear OOA(327, 44, F32, 2, 6) (dual of [(44, 2), 81, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3263, 4194345, F32, 2, 12) (dual of [(4194345, 2), 8388627, 13]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.