MinT - Information on Result #1060323

Information on Result #1060323

Linear OOA(3¹⁸⁷, 2097172, F₃, 4, 17) (dual of [(2097172, 4), 8388501, 18]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁸⁷, 4194344, F₃, 2, 17) (dual of [(4194344, 2), 8388501, 18]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁸⁷, 4194345, F₃, 2, 17) (dual of [(4194345, 2), 8388503, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3²¹, 44, F₃, 2, 8) (dual of [(44, 2), 67, 9]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3⁷, 26, F₃, 2, 4) (dual of [(26, 2), 45, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (3, 7, 26)-net over F₃, using
        nets constructed from net-embeddable BCH codes [i]
      2. linear OOA(3¹⁴, 22, F₃, 2, 8) (dual of [(22, 2), 30, 9]-NRT-code), using
        extracting embedded OOA [i] based on digital (6, 14, 22)-net over F₃, using
        linear code embedding found in a computer search [i]
  2. linear OOA(3¹⁶⁶, 4194301, F₃, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁶⁶, 8388602, F₃, 17) (dual of [8388602, 8388436, 18]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁶⁶, large, F₃, 17) (dual of [large, large−166, 18]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [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.