MinT - Information on Result #1081081

Information on Result #1081081

Linear OOA(3¹⁴⁸, 2097514, F₃, 4, 13) (dual of [(2097514, 4), 8389908, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²⁷, 364, F₃, 4, 6) (dual of [(364, 4), 1429, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(3²⁷, 1092, F₃, 6) (dual of [1092, 1065, 7]-code), using
  - 1 times truncation [i] based on linear OA(3²⁸, 1093, F₃, 7) (dual of [1093, 1065, 8]-code), using
    - the BCH-code C(I) with length 1093Â | 3⁷âˆ’1, defining interval IÂ =Â {−3,−1,1,…,9}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [i]
linear OOA(3¹²¹, 2097150, F₃, 4, 13) (dual of [(2097150, 4), 8388479, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3¹²¹, 8388600, F₃, 13) (dual of [8388600, 8388479, 14]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹²¹, large, F₃, 13) (dual of [large, large−121, 14]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

Mode: Constructive and linear.

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