MinT - Information on Result #1715146

Information on Result #1715146

Digital (211, 234, 835316)-net over F₃, using net defined by OOA based on linear OOA(3²³⁴, 835316, F₃, 28, 23) (dual of [(835316, 28), 23388614, 24]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3²³⁴, 2505949, F₃, 4, 23) (dual of [(2505949, 4), 10023562, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²³⁴, 2505950, F₃, 4, 23) (dual of [(2505950, 4), 10023566, 24]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3²³⁴, 2505950, F₃, 3, 23) (dual of [(2505950, 3), 7517616, 24]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3²³⁴, 2796203, F₃, 3, 23) (dual of [(2796203, 3), 8388375, 24]-NRT-code), using
      - 3² times duplication [i] based on linear OOA(3²³², 2796203, F₃, 3, 23) (dual of [(2796203, 3), 8388377, 24]-NRT-code), using
        2 times NRT-code embedding in larger space [i] based on linear OOA(3²²⁶, 2796201, F₃, 3, 23) (dual of [(2796201, 3), 8388377, 24]-NRT-code), using
        OOA 3-folding [i] based on linear OA(3²²⁶, large, F₃, 23) (dual of [large, large−226, 24]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [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.