Information on Result #1200082
Digital (69, 97, 2346)-net over F32, using net defined by OOA based on linear OOA(3297, 2346, F32, 30, 28) (dual of [(2346, 30), 70283, 29]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(3297, 16423, F32, 2, 28) (dual of [(16423, 2), 32749, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3297, 16429, F32, 2, 28) (dual of [(16429, 2), 32761, 29]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3215, 44, F32, 2, 14) (dual of [(44, 2), 73, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,73P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3282, 16385, F32, 2, 28) (dual of [(16385, 2), 32688, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3282, 32770, F32, 28) (dual of [32770, 32688, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3282, 32771, F32, 28) (dual of [32771, 32689, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- 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(3279, 32768, F32, 27) (dual of [32768, 32689, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(27) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(3282, 32771, F32, 28) (dual of [32771, 32689, 29]-code), using
- OOA 2-folding [i] based on linear OA(3282, 32770, F32, 28) (dual of [32770, 32688, 29]-code), using
- linear OOA(3215, 44, F32, 2, 14) (dual of [(44, 2), 73, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3297, 16429, F32, 2, 28) (dual of [(16429, 2), 32761, 29]-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.