Information on Result #1200084
Digital (70, 98, 2347)-net over F32, using net defined by OOA based on linear OOA(3298, 2347, F32, 30, 28) (dual of [(2347, 30), 70312, 29]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(3298, 16430, F32, 2, 28) (dual of [(16430, 2), 32762, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3298, 16431, F32, 2, 28) (dual of [(16431, 2), 32764, 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(3283, 16387, F32, 2, 28) (dual of [(16387, 2), 32691, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3283, 32774, F32, 28) (dual of [32774, 32691, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3283, 32775, F32, 28) (dual of [32775, 32692, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [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(3276, 32768, F32, 26) (dual of [32768, 32692, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(3283, 32775, F32, 28) (dual of [32775, 32692, 29]-code), using
- OOA 2-folding [i] based on linear OA(3283, 32774, F32, 28) (dual of [32774, 32691, 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(3298, 16431, F32, 2, 28) (dual of [(16431, 2), 32764, 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.