MinT - Information on Result #1101266

Information on Result #1101266

Linear OOA(3²⁴⁹, 2796206, F₃, 5, 17) (dual of [(2796206, 5), 13980781, 18]-NRT-code), using OOA 2-folding based on linear OOA(3²⁴⁹, 5592412, F₃, 3, 17) (dual of [(5592412, 3), 16776987, 18]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²⁴⁹, 5592413, F₃, 3, 17) (dual of [(5592413, 3), 16776990, 18]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁷, 11, F₃, 3, 5) (dual of [(11, 3), 26, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 7, 11)-net over F₃, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(3⁷⁶, 2796201, F₃, 3, 8) (dual of [(2796201, 3), 8388527, 9]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(3⁷⁶, large, F₃, 8) (dual of [large, large−76, 9]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]
  3. linear OOA(3¹⁶⁶, 2796201, F₃, 3, 17) (dual of [(2796201, 3), 8388437, 18]-NRT-code), using
    - OOA 3-folding [i] 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.