Information on Result #1199792
Digital (51, 72, 3285)-net over F32, using net defined by OOA based on linear OOA(3272, 3285, F32, 22, 21) (dual of [(3285, 22), 72198, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(3272, 16426, F32, 2, 21) (dual of [(16426, 2), 32780, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3272, 16429, F32, 2, 21) (dual of [(16429, 2), 32786, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3211, 44, F32, 2, 10) (dual of [(44, 2), 77, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,77P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3261, 16385, F32, 2, 21) (dual of [(16385, 2), 32709, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3261, 32770, F32, 21) (dual of [32770, 32709, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3261, 32771, F32, 21) (dual of [32771, 32710, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(3261, 32768, F32, 21) (dual of [32768, 32707, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3261, 32771, F32, 21) (dual of [32771, 32710, 22]-code), using
- OOA 2-folding [i] based on linear OA(3261, 32770, F32, 21) (dual of [32770, 32709, 22]-code), using
- linear OOA(3211, 44, F32, 2, 10) (dual of [(44, 2), 77, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3272, 16429, F32, 2, 21) (dual of [(16429, 2), 32786, 22]-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.