Information on Result #1199632
Digital (44, 62, 3646)-net over F32, using net defined by OOA based on linear OOA(3262, 3646, F32, 18, 18) (dual of [(3646, 18), 65566, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(3262, 32814, F32, 18) (dual of [32814, 32752, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3262, 32815, F32, 18) (dual of [32815, 32753, 19]-code), using
- (u, u+v)-construction [i] based on
- linear OA(3210, 44, F32, 9) (dual of [44, 34, 10]-code), using
- extended algebraic-geometric code AGe(F,34P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3252, 32771, F32, 18) (dual of [32771, 32719, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(3252, 32768, F32, 18) (dual of [32768, 32716, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3249, 32768, F32, 17) (dual of [32768, 32719, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- linear OA(3210, 44, F32, 9) (dual of [44, 34, 10]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(3262, 32815, F32, 18) (dual of [32815, 32753, 19]-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.