MinT - Information on Result #667785

Information on Result #667785

Linear OA(32¹⁰⁷, 1067, F₃₂, 38) (dual of [1067, 960, 39]-code), using generalized (u,Â u+v)-construction based on

linear OA(32⁹, 14, F₃₂, 9) (dual of [14, 5, 10]-code or 14-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(32⁹, 32, F₃₂, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
  - Reedâ€“Solomon code RS(23,32) [i]
linear OA(32¹², 14, F₃₂, 12) (dual of [14, 2, 13]-code or 14-arc in PG(11,32)), using
- discarding factors / shortening the dual code based on linear OA(32¹², 32, F₃₂, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), using
  - Reedâ€“Solomon code RS(20,32) [i]
linear OA(32¹⁴, 14, F₃₂, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,32)), using
- complete OA / dual of code with only one code word [i]
linear OA(32⁷², 1025, F₃₂, 38) (dual of [1025, 953, 39]-code), using
- the BCH-code C(I) with length 1025Â | 32⁴âˆ’1, defining interval IÂ =Â {32,335,638,…,−32}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 39 [i]

Mode: Constructive and linear.

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