Information on Result #1200168
Digital (76, 108, 2051)-net over F32, using net defined by OOA based on linear OOA(32108, 2051, F32, 32, 32) (dual of [(2051, 32), 65524, 33]-NRT-code), using
- OA 16-folding and stacking [i] based on linear OA(32108, 32816, F32, 32) (dual of [32816, 32708, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(32108, 32818, F32, 32) (dual of [32818, 32710, 33]-code), using
- 1 times truncation [i] based on linear OA(32109, 32819, F32, 33) (dual of [32819, 32710, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(19) [i] based on
- linear OA(3294, 32768, F32, 33) (dual of [32768, 32674, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(3215, 51, F32, 12) (dual of [51, 36, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3215, 63, F32, 12) (dual of [63, 48, 13]-code), using
- algebraic-geometric code AG(F,50P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(3215, 63, F32, 12) (dual of [63, 48, 13]-code), using
- construction X applied to Ce(32) ⊂ Ce(19) [i] based on
- 1 times truncation [i] based on linear OA(32109, 32819, F32, 33) (dual of [32819, 32710, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(32108, 32818, F32, 32) (dual of [32818, 32710, 33]-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.