MinT - Information on Result #1117055

Information on Result #1117055

Linear OOA(3⁷¹, 44294, F₃, 5, 9) (dual of [(44294, 5), 221399, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁵, 8, F₃, 5, 4) (dual of [(8, 5), 35, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(3⁵, 8, F₃, 4, 4) (dual of [(8, 4), 27, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(3⁵, 8, F₃, 3, 4) (dual of [(8, 3), 19, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 5, 8)-net over F₃, using
      - nets constructed from net-embeddable BCH codes [i]
linear OOA(3⁶⁶, 44286, F₃, 5, 9) (dual of [(44286, 5), 221364, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(3⁶⁶, 177145, F₃, 9) (dual of [177145, 177079, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁶⁶, 177146, F₃, 9) (dual of [177146, 177080, 10]-code), using
    - 1 times truncation [i] based on linear OA(3⁶⁷, 177147, F₃, 10) (dual of [177147, 177080, 11]-code), using
      - an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 177146Â = 3¹¹âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive and linear.

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