MinT - Information on Result #1767647

Information on Result #1767647

Digital (173, 197, 176322)-net over F₃, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3¹⁹⁷, 176322, F₃, 3, 24) (dual of [(176322, 3), 528769, 25]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁹⁷, 177156, F₃, 3, 24) (dual of [(177156, 3), 531271, 25]-NRT-code), using
- strength reduction [i] based on linear OOA(3¹⁹⁷, 177156, F₃, 3, 25) (dual of [(177156, 3), 531271, 26]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(3¹⁹⁷, 531468, F₃, 25) (dual of [531468, 531271, 26]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹⁹⁷, 531469, F₃, 25) (dual of [531469, 531272, 26]-code), using
      - constructionÂ X applied to C_e(24) âŠ‚ C_e(21) [i] based on
        linear OA(3¹⁹³, 531441, F₃, 25) (dual of [531441, 531248, 26]-code), using an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 531440Â = 3¹²âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [i]
        linear OA(3¹⁶⁹, 531441, F₃, 22) (dual of [531441, 531272, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 531440Â = 3¹²âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [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, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.