MinT - Information on Result #1117819

Information on Result #1117819

Linear OOA(3²²⁸, 1678539, F₃, 5, 19) (dual of [(1678539, 5), 8392467, 20]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁴⁷, 819, F₃, 5, 9) (dual of [(819, 5), 4048, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(3⁴⁷, 3277, F₃, 9) (dual of [3277, 3230, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁴⁷, 3280, F₃, 9) (dual of [3280, 3233, 10]-code), using
    - 1 times truncation [i] based on linear OA(3⁴⁸, 3281, F₃, 10) (dual of [3281, 3233, 11]-code), using
      - the BCH-code C(I) with length 3281Â | 3¹⁶âˆ’1, defining interval IÂ =Â {−9,−7,−5,…,9}, 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.

None.

None.