MinT - Information on Result #1060471

Information on Result #1060471

Linear OOA(3²¹⁵, 2097241, F₃, 4, 18) (dual of [(2097241, 4), 8388749, 19]-NRT-code), using OOA 2-folding based on linear OOA(3²¹⁵, 4194482, F₃, 2, 18) (dual of [(4194482, 2), 8388749, 19]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²¹⁵, 4194483, F₃, 2, 18) (dual of [(4194483, 2), 8388751, 19]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3³⁵, 182, F₃, 2, 9) (dual of [(182, 2), 329, 10]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3³⁵, 364, F₃, 9) (dual of [364, 329, 10]-code), using
      - 1 times truncation [i] based on linear OA(3³⁶, 365, F₃, 10) (dual of [365, 329, 11]-code), using
        the BCH-code C(I) with length 365Â | 3¹²âˆ’1, defining interval IÂ =Â {−9,−7,−5,…,9}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]
  2. linear OOA(3¹⁸⁰, 4194301, F₃, 2, 18) (dual of [(4194301, 2), 8388422, 19]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁸⁰, 8388602, F₃, 18) (dual of [8388602, 8388422, 19]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁸⁰, large, F₃, 18) (dual of [large, large−180, 19]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.