MinT - Information on Result #1769862

Information on Result #1769862

Digital (200, 223, 1326605)-net over F₃, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3²²³, 1326605, F₃, 3, 23) (dual of [(1326605, 3), 3979592, 24]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²²³, 1594345, F₃, 3, 23) (dual of [(1594345, 3), 4782812, 24]-NRT-code), using
- 3¹ times duplication [i] based on linear OOA(3²²², 1594345, F₃, 3, 23) (dual of [(1594345, 3), 4782813, 24]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(3²²², 4783035, F₃, 23) (dual of [4783035, 4782813, 24]-code), using
    - discarding factors / shortening the dual code based on linear OA(3²²², 4783036, F₃, 23) (dual of [4783036, 4782814, 24]-code), using
      - constructionÂ X applied to C_e(22) âŠ‚ C_e(16) [i] based on
        linear OA(3²¹¹, 4782969, F₃, 23) (dual of [4782969, 4782758, 24]-code), using an extension C_e(22) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 3¹⁴âˆ’1, defining interval IÂ =Â [1,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]
        linear OA(3¹⁵⁵, 4782969, F₃, 17) (dual of [4782969, 4782814, 18]-code), using an extension C_e(16) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 3¹⁴âˆ’1, defining interval IÂ =Â [1,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [i]
        linear OA(3¹¹, 67, F₃, 5) (dual of [67, 56, 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.