Information on Result #1186610
Digital (164, 180, 2097150)-net over F4, using net defined by OOA based on linear OOA(4180, 2097150, F4, 18, 16) (dual of [(2097150, 18), 37748520, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4180, 8388601, F4, 2, 16) (dual of [(8388601, 2), 16777022, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4180, 8388602, F4, 2, 16) (dual of [(8388602, 2), 16777024, 17]-NRT-code), using
- trace code [i] based on linear OOA(1690, 4194301, F16, 2, 16) (dual of [(4194301, 2), 8388512, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1690, 8388602, F16, 16) (dual of [8388602, 8388512, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1690, large, F16, 16) (dual of [large, large−90, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(1690, large, F16, 16) (dual of [large, large−90, 17]-code), using
- OOA 2-folding [i] based on linear OA(1690, 8388602, F16, 16) (dual of [8388602, 8388512, 17]-code), using
- trace code [i] based on linear OOA(1690, 4194301, F16, 2, 16) (dual of [(4194301, 2), 8388512, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4180, 8388602, F4, 2, 16) (dual of [(8388602, 2), 16777024, 17]-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.