MinT - Information on Result #1714464

Information on Result #1714464

Digital (122, 142, 14774)-net over F₃, using net defined by OOA based on linear OOA(3¹⁴², 14774, F₃, 25, 20) (dual of [(14774, 25), 369208, 21]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁴², 29549, F₃, 5, 20) (dual of [(29549, 5), 147603, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴², 29550, F₃, 5, 20) (dual of [(29550, 5), 147608, 21]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁴², 29550, F₃, 2, 20) (dual of [(29550, 2), 58958, 21]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁴², 59100, F₃, 20) (dual of [59100, 58958, 21]-code), using
      - constructionÂ X applied to C_e(19) âŠ‚ C_e(13) [i] based on
        linear OA(3¹³¹, 59049, F₃, 20) (dual of [59049, 58918, 21]-code), using an extension C_e(19) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [i]
        linear OA(3⁹¹, 59049, F₃, 14) (dual of [59049, 58958, 15]-code), using an extension C_e(13) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [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.