MinT - Information on Result #1196881

Information on Result #1196881

Linear OOA(25⁹⁵, 35514, F₂₅, 23, 23) (dual of [(35514, 23), 816727, 24]-NRT-code), using OOA 11-folding and stacking with additional row based on linear OA(25⁹⁵, 390655, F₂₅, 23) (dual of [390655, 390560, 24]-code), using

constructionÂ X applied to C([0,11]) âŠ‚ C([0,8]) [i] based on
1. linear OA(25⁸⁹, 390626, F₂₅, 23) (dual of [390626, 390537, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626Â | 25⁸âˆ’1, defining interval IÂ =Â [0,11], and minimum distance dÂ â‰¥ |{−11,−10,…,11}|+1Â =Â 24 (BCH-bound) [i]
2. linear OA(25⁶⁵, 390626, F₂₅, 17) (dual of [390626, 390561, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626Â | 25⁸âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (BCH-bound) [i]
3. linear OA(25⁶, 29, F₂₅, 5) (dual of [29, 23, 6]-code), using
  - construction for [s,Â sâˆ’6,Â 6]-code from [s,Â 3,Â sâˆ’3]-code [i] based on linear OA(25²⁶, 29, F₂₅, 25) (dual of [29, 3, 26]-code), using
    - constructionÂ X applied to C₁ âŠ‚ C₀ [i] based on
      1. linear OA(25²⁵, 26, F₂₅, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,25)), using code C₁ for uÂ =Â 2 by de Boer and Brouwer [i]
      2. linear OA(25²³, 26, F₂₅, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)), using code C₀ for uÂ =Â 2 by de Boer and Brouwer [i]
      3. linear OA(25¹, 3, F₂₅, 1) (dual of [3, 2, 2]-code), using
        discarding factors / shortening the dual code based on linear OA(25¹, s, F₂₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (72, 95, 35514)-net over F₂₅	[i]		Net Defined by OOA