MinT - Information on Result #1117824

Information on Result #1117824

Linear OOA(3²³⁴, 1680179, F₃, 5, 19) (dual of [(1680179, 5), 8400661, 20]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁵³, 2459, F₃, 5, 9) (dual of [(2459, 5), 12242, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(3⁵³, 9837, F₃, 9) (dual of [9837, 9784, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁵³, 9840, F₃, 9) (dual of [9840, 9787, 10]-code), using
    - 1 times truncation [i] based on linear OA(3⁵⁴, 9841, F₃, 10) (dual of [9841, 9787, 11]-code), using
      - the BCH-code C(I) with length 9841Â | 3⁹âˆ’1, defining interval IÂ =Â {1,1313,2625,…,1968}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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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