MinT - Information on Result #1713658

Information on Result #1713658

Digital (138, 154, 1333752)-net over F₃, using net defined by OOA based on linear OOA(3¹⁵⁴, 1333752, F₃, 20, 16) (dual of [(1333752, 20), 26674886, 17]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁵⁴, 2667505, F₃, 4, 16) (dual of [(2667505, 4), 10669866, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁵⁴, 2667506, F₃, 4, 16) (dual of [(2667506, 4), 10669870, 17]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁵⁴, 2667506, F₃, 3, 16) (dual of [(2667506, 3), 8002364, 17]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3¹⁵⁴, 2796202, F₃, 3, 16) (dual of [(2796202, 3), 8388452, 17]-NRT-code), using
      - 1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁵¹, 2796201, F₃, 3, 16) (dual of [(2796201, 3), 8388452, 17]-NRT-code), using
        OOA 3-folding [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 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [i]

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.