Information on Result #1187766
Digital (132, 163, 1093)-net over F4, using net defined by OOA based on linear OOA(4163, 1093, F4, 31, 31) (dual of [(1093, 31), 33720, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(4163, 16396, F4, 31) (dual of [16396, 16233, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4163, 16399, F4, 31) (dual of [16399, 16236, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4148, 16384, F4, 29) (dual of [16384, 16236, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(41, 15, F4, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(4163, 16399, F4, 31) (dual of [16399, 16236, 32]-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.