MinT - Information on Result #667796

Information on Result #667796

Linear OA(32⁹², 1055, F₃₂, 34) (dual of [1055, 963, 35]-code), using generalized (u,Â u+v)-construction based on

linear OA(32⁸, 10, F₃₂, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,32)), using
- discarding factors / shortening the dual code based on linear OA(32⁸, 32, F₃₂, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
  - Reedâ€“Solomon code RS(24,32) [i]
linear OA(32¹⁰, 10, F₃₂, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,32)), using
- complete OA / dual of code with only one code word [i]
linear OA(32¹⁰, 10, F₃₂, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,32)) (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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