MinT - Information on Result #1081074

Information on Result #1081074

Linear OOA(3¹³⁷, 2097196, F₃, 4, 13) (dual of [(2097196, 4), 8388647, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹⁶, 46, F₃, 4, 6) (dual of [(46, 4), 168, 7]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3³, 4, F₃, 4, 3) (dual of [(4, 4), 13, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(4;13,3) [i]
  2. linear OOA(3¹³, 42, F₃, 4, 6) (dual of [(42, 4), 155, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 13, 42)-net over F₃, using
      - linear code embedding found in a computer search [i]
linear OOA(3¹²¹, 2097150, F₃, 4, 13) (dual of [(2097150, 4), 8388479, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3¹²¹, 8388600, F₃, 13) (dual of [8388600, 8388479, 14]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹²¹, large, F₃, 13) (dual of [large, large−121, 14]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

Mode: Constructive and linear.

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