MinT - Information on Result #1117835

Information on Result #1117835

Linear OOA(3²⁴⁷, 1722006, F₃, 5, 19) (dual of [(1722006, 5), 8609783, 20]-NRT-code), using (u,Â u+v)-construction based on

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]
linear OOA(3¹⁸¹, 1677720, F₃, 5, 19) (dual of [(1677720, 5), 8388419, 20]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3¹⁸¹, 8388600, F₃, 19) (dual of [8388600, 8388419, 20]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁸¹, large, F₃, 19) (dual of [large, large−181, 20]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [i]

Mode: Constructive and linear.

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