MinT - Information on Result #1770043

Information on Result #1770043

Digital (202, 225, 1489243)-net over F₃, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3²²⁵, 1489243, F₃, 3, 23) (dual of [(1489243, 3), 4467504, 24]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²²⁵, 1594346, F₃, 3, 23) (dual of [(1594346, 3), 4782813, 24]-NRT-code), using
- 3¹ times duplication [i] based on linear OOA(3²²⁴, 1594346, F₃, 3, 23) (dual of [(1594346, 3), 4782814, 24]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(3²²⁴, 4783038, F₃, 23) (dual of [4783038, 4782814, 24]-code), using
    - constructionÂ X applied to C_e(22) âŠ‚ C_e(16) [i] based on
      1. 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]
      2. 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]
      3. linear OA(3¹³, 69, F₃, 5) (dual of [69, 56, 6]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹³, 80, F₃, 5) (dual of [80, 67, 6]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 80Â = 3⁴âˆ’1, defining interval IÂ =Â [0,4], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [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.