Information on Result #1203908
Digital (30, 51, 1664)-net over F128, using net defined by OOA based on linear OOA(12851, 1664, F128, 22, 21) (dual of [(1664, 22), 36557, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(12851, 8321, F128, 2, 21) (dual of [(8321, 2), 16591, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12851, 8322, F128, 2, 21) (dual of [(8322, 2), 16593, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12810, 129, F128, 2, 10) (dual of [(129, 2), 248, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;248,128) [i]
- linear OOA(12841, 8193, F128, 2, 21) (dual of [(8193, 2), 16345, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12841, 16386, F128, 21) (dual of [16386, 16345, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(12841, 16384, F128, 21) (dual of [16384, 16343, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(12841, 16386, F128, 21) (dual of [16386, 16345, 22]-code), using
- linear OOA(12810, 129, F128, 2, 10) (dual of [(129, 2), 248, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12851, 8322, F128, 2, 21) (dual of [(8322, 2), 16593, 22]-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.