MinT - Information on Result #1621673

Information on Result #1621673

Linear OOA(3²⁰⁷, 14778, F₃, 5, 29) (dual of [(14778, 5), 73683, 30]-NRT-code), using OOA 2-folding based on linear OOA(3²⁰⁷, 29556, F₃, 3, 29) (dual of [(29556, 3), 88461, 30]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²⁰⁷, 29557, F₃, 3, 29) (dual of [(29557, 3), 88464, 30]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3²⁰⁷, 29557, F₃, 2, 29) (dual of [(29557, 2), 58907, 30]-NRT-code), using
  - 3¹ times duplication [i] based on linear OOA(3²⁰⁶, 29557, F₃, 2, 29) (dual of [(29557, 2), 58908, 30]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3²⁰⁶, 59114, F₃, 29) (dual of [59114, 58908, 30]-code), using
      - constructionÂ X applied to C_e(28) âŠ‚ C_e(21) [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(3¹⁴¹, 59049, F₃, 22) (dual of [59049, 58908, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]
        linear OA(3¹⁵, 65, F₃, 6) (dual of [65, 50, 7]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹⁵, 85, F₃, 6) (dual of [85, 70, 7]-code), using
        codes constructed by inverting constructionÂ Y₁ [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.