MinT - Information on Result #667909

Information on Result #667909

Linear OA(32¹⁰⁵, 1113, F₃₂, 38) (dual of [1113, 1008, 39]-code), using (u,Â uâˆ’v,Â u+v+w)-construction based on

linear OA(32¹³, 44, F₃₂, 12) (dual of [44, 31, 13]-code), using
- extended algebraic-geometric code AG_e(F,31P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, using
  - a function field by SÃ©mirat [i]
linear OA(32²⁰, 44, F₃₂, 19) (dual of [44, 24, 20]-code), using
- extended algebraic-geometric code AG_e(F,24P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44 (see above)
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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