MinT - Information on Result #1117748

Information on Result #1117748

Linear OOA(3²⁵⁰, 3355448, F₃, 5, 17) (dual of [(3355448, 5), 16776990, 18]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁷⁶, 2097150, F₃, 5, 8) (dual of [(2097150, 5), 10485674, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(3⁷⁶, 8388600, F₃, 8) (dual of [8388600, 8388524, 9]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁷⁶, large, F₃, 8) (dual of [large, large−76, 9]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]
linear OOA(3¹⁷⁴, 1677724, F₃, 5, 17) (dual of [(1677724, 5), 8388446, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁸, 4, F₃, 5, 8) (dual of [(4, 5), 12, 9]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(5;12,3) [i]
  2. linear OOA(3¹⁶⁶, 1677720, F₃, 5, 17) (dual of [(1677720, 5), 8388434, 18]-NRT-code), using
    - OOA 5-folding [i] based on linear OA(3¹⁶⁶, 8388600, F₃, 17) (dual of [8388600, 8388434, 18]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁶⁶, large, F₃, 17) (dual of [large, large−166, 18]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [i]

Mode: Constructive and linear.

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