MinT - Information on Result #661652

Information on Result #661652

Linear OA(9¹²¹, 128, F₉, 94) (dual of [128, 7, 95]-code), using juxtaposition based on

linear OA(9³⁰, 37, F₉, 23) (dual of [37, 7, 24]-code), using
- constructionÂ X applied to AG(F,3P) âŠ‚ AG(F,9P) [i] based on
  1. linear OA(9²⁵, 27, F₉, 23) (dual of [27, 2, 24]-code), using algebraic-geometric code AG(F,3P) with known gap numbers [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F₉ [i]
  2. linear OA(9²⁰, 27, F₉, 17) (dual of [27, 7, 18]-code), using algebraic-geometric code AG(F,9P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28 (see above)
  3. linear OA(9⁵, 10, F₉, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,9)), using
    - extended Reedâ€“Solomon code RS_e(5,9) [i]
linear OA(9⁸⁴, 91, F₉, 70) (dual of [91, 7, 71]-code), using
- the BCH-code C(I) with length 91Â | 9³âˆ’1, defining interval IÂ =Â {−9,15,39,…,9}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 71 [i]

Mode: Constructive and linear.

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