MinT - Information on Result #1207913

Information on Result #1207913

Digital (173, 183, 6710902)-net over F₃, using (u,Â u+v)-construction based on

digital (41, 46, 4194301)-net over F₃, using
- net defined by OOA [i] based on linear OOA(3⁴⁶, 4194301, F₃, 5, 5) (dual of [(4194301, 5), 20971459, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(3⁴⁶, large, F₃, 5) (dual of [large, large−46, 6]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,4], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [i]
digital (127, 137, 3355451)-net over F₃, using
- (u,Â u+v)-construction [i] based on
  1. digital (2, 7, 11)-net over F₃, using
    - linear code embedding found in a computer search [i]
  2. digital (120, 130, 3355440)-net over F₃, using
    - trace code for nets [i] based on digital (55, 65, 1677720)-net over F₉, using
      - net defined by OOA [i] based on linear OOA(9⁶⁵, 1677720, F₉, 10, 10) (dual of [(1677720, 10), 16777135, 11]-NRT-code), using
        OA 5-folding and stacking [i] based on linear OA(9⁶⁵, 8388600, F₉, 10) (dual of [8388600, 8388535, 11]-code), using
        discarding factors / shortening the dual code based on linear OA(9⁶⁵, large, F₉, 10) (dual of [large, large−65, 11]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive and linear.

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