MinT - Information on Result #1713492

Information on Result #1713492

Digital (141, 156, 1755319)-net over F₃, using net defined by OOA based on linear OOA(3¹⁵⁶, 1755319, F₃, 20, 15) (dual of [(1755319, 20), 35106224, 16]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁵⁶, 3510639, F₃, 4, 15) (dual of [(3510639, 4), 14042400, 16]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁵⁶, 3510639, F₃, 2, 15) (dual of [(3510639, 2), 7021122, 16]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁵⁶, 4194304, F₃, 2, 15) (dual of [(4194304, 2), 8388452, 16]-NRT-code), using
    - 3 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁵⁰, 4194301, F₃, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(3¹⁵⁰, 8388602, F₃, 15) (dual of [8388602, 8388452, 16]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹⁵⁰, large, F₃, 15) (dual of [large, large−150, 16]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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.