MinT - Information on Result #1645840

Information on Result #1645840

Linear OOA(3¹⁶⁹, 58423, F₃, 5, 23) (dual of [(58423, 5), 291946, 24]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3¹⁶⁹, 58423, F₃, 3, 23) (dual of [(58423, 3), 175100, 24]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁶⁹, 59053, F₃, 3, 23) (dual of [(59053, 3), 176990, 24]-NRT-code), using
- 3² times duplication [i] based on linear OOA(3¹⁶⁷, 59053, F₃, 3, 23) (dual of [(59053, 3), 176992, 24]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(3¹⁶⁷, 177159, F₃, 23) (dual of [177159, 176992, 24]-code), using
    - 1 times code embedding in larger space [i] based on linear OA(3¹⁶⁶, 177158, F₃, 23) (dual of [177158, 176992, 24]-code), using
      - constructionÂ X applied to C_e(22) âŠ‚ C_e(21) [i] based on
        linear OA(3¹⁶⁶, 177147, F₃, 23) (dual of [177147, 176981, 24]-code), using an extension C_e(22) of the primitive narrow-sense BCH-code C(I) with length 177146Â = 3¹¹âˆ’1, defining interval IÂ =Â [1,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]
        linear OA(3¹⁵⁵, 177147, F₃, 22) (dual of [177147, 176992, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 177146Â = 3¹¹âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]
        linear OA(3⁰, 11, F₃, 0) (dual of [11, 11, 1]-code), using
        discarding factors / shortening the dual code based on linear OA(3⁰, s, F₃, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
        OA with only one run / dual of code without redundancy [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.