MinT - Information on Result #667756

Information on Result #667756

Linear OA(32⁹⁶, 1061, F₃₂, 34) (dual of [1061, 965, 35]-code), using generalized (u,Â u+v)-construction based on

linear OA(32⁶, 9, F₃₂, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(32⁶, 32, F₃₂, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
  - Reedâ€“Solomon code RS(26,32) [i]
linear OA(32⁸, 9, F₃₂, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,32)), using
- dual of repetition code with length 9 [i]
linear OA(32⁹, 9, F₃₂, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,32)), using
- complete OA / dual of code with only one code word [i]
linear OA(32⁹, 9, F₃₂, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,32)) (see above)
linear OA(32⁶⁴, 1025, F₃₂, 34) (dual of [1025, 961, 35]-code), using
- the BCH-code C(I) with length 1025Â | 32⁴âˆ’1, defining interval IÂ =Â {1,32,63,…,1024}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 35 [i]

Mode: Constructive and linear.

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