Information on Result #1200122
Digital (75, 104, 2351)-net over F32, using net defined by OOA based on linear OOA(32104, 2351, F32, 30, 29) (dual of [(2351, 30), 70426, 30]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(32104, 16458, F32, 2, 29) (dual of [(16458, 2), 32812, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(32104, 16461, F32, 2, 29) (dual of [(16461, 2), 32818, 30]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3219, 76, F32, 2, 14) (dual of [(76, 2), 133, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,137P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OOA(3285, 16385, F32, 2, 29) (dual of [(16385, 2), 32685, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3285, 32770, F32, 29) (dual of [32770, 32685, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3285, 32771, F32, 29) (dual of [32771, 32686, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(3285, 32768, F32, 29) (dual of [32768, 32683, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3282, 32768, F32, 28) (dual of [32768, 32686, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(28) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(3285, 32771, F32, 29) (dual of [32771, 32686, 30]-code), using
- OOA 2-folding [i] based on linear OA(3285, 32770, F32, 29) (dual of [32770, 32685, 30]-code), using
- linear OOA(3219, 76, F32, 2, 14) (dual of [(76, 2), 133, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(32104, 16461, F32, 2, 29) (dual of [(16461, 2), 32818, 30]-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.