Information on Result #1713724
Digital (173, 189, 3858813)-net over F3, using net defined by OOA based on linear OOA(3189, 3858813, F3, 20, 16) (dual of [(3858813, 20), 77176071, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3189, 7717627, F3, 4, 16) (dual of [(7717627, 4), 30870319, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3189, 7717628, F3, 4, 16) (dual of [(7717628, 4), 30870323, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3189, 7717628, F3, 16) (dual of [7717628, 7717439, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3189, large, F3, 16) (dual of [large, large−189, 17]-code), using
- 38 times code embedding in larger space [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 38 times code embedding in larger space [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3189, large, F3, 16) (dual of [large, large−189, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3189, 7717628, F3, 16) (dual of [7717628, 7717439, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(3189, 7717628, F3, 4, 16) (dual of [(7717628, 4), 30870323, 17]-NRT-code), using
Mode: 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.