MinT - Information on Result #1609457

Information on Result #1609457

Linear OOA(3²¹⁰, 139648, F₃, 4, 26) (dual of [(139648, 4), 558382, 27]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3²¹⁰, 139648, F₃, 3, 26) (dual of [(139648, 3), 418734, 27]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²¹⁰, 177156, F₃, 3, 26) (dual of [(177156, 3), 531258, 27]-NRT-code), using
- 3¹ times duplication [i] based on linear OOA(3²⁰⁹, 177156, F₃, 3, 26) (dual of [(177156, 3), 531259, 27]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(3²⁰⁹, 531468, F₃, 26) (dual of [531468, 531259, 27]-code), using
    - discarding factors / shortening the dual code based on linear OA(3²⁰⁹, 531469, F₃, 26) (dual of [531469, 531260, 27]-code), using
      - constructionÂ X applied to C_e(25) âŠ‚ C_e(22) [i] based on
        linear OA(3²⁰⁵, 531441, F₃, 26) (dual of [531441, 531236, 27]-code), using an extension C_e(25) of the primitive narrow-sense BCH-code C(I) with length 531440Â = 3¹²âˆ’1, defining interval IÂ =Â [1,25], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 26 [i]
        linear OA(3¹⁸¹, 531441, F₃, 23) (dual of [531441, 531260, 24]-code), using an extension C_e(22) of the primitive narrow-sense BCH-code C(I) with length 531440Â = 3¹²âˆ’1, defining interval IÂ =Â [1,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]
        linear OA(3⁴, 28, F₃, 2) (dual of [28, 24, 3]-code), using
        discarding factors / shortening the dual code based on linear OA(3⁴, 40, F₃, 2) (dual of [40, 36, 3]-code), using
        Hamming code H(4,3) [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.