MinT - Information on Result #1716036

Information on Result #1716036

Digital (175, 204, 8945)-net over F₃, using net defined by OOA based on linear OOA(3²⁰⁴, 8945, F₃, 35, 29) (dual of [(8945, 35), 312871, 30]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3²⁰⁴, 26836, F₃, 5, 29) (dual of [(26836, 5), 133976, 30]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3²⁰⁴, 26836, F₃, 2, 29) (dual of [(26836, 2), 53468, 30]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3²⁰⁴, 29551, F₃, 2, 29) (dual of [(29551, 2), 58898, 30]-NRT-code), using
    - 1 times NRT-code embedding in larger space [i] based on linear OOA(3²⁰², 29550, F₃, 2, 29) (dual of [(29550, 2), 58898, 30]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(3²⁰², 59100, F₃, 29) (dual of [59100, 58898, 30]-code), using
        constructionÂ X applied to C_e(28) âŠ‚ C_e(22) [i] based on
        linear OA(3¹⁹¹, 59049, F₃, 29) (dual of [59049, 58858, 30]-code), using an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [i]
        linear OA(3¹⁵¹, 59049, F₃, 23) (dual of [59049, 58898, 24]-code), using an extension C_e(22) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]
        linear OA(3¹¹, 51, F₃, 5) (dual of [51, 40, 6]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹¹, 85, F₃, 5) (dual of [85, 74, 6]-code), using
        codes constructed by inverting constructionÂ Y₁ [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.