MinT - Information on Result #1620748

Information on Result #1620748

Linear OOA(3¹²⁸, 2097155, F₃, 5, 12) (dual of [(2097155, 5), 10485647, 13]-NRT-code), using OOA 2-folding based on linear OOA(3¹²⁸, 4194310, F₃, 3, 12) (dual of [(4194310, 3), 12582802, 13]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹²⁸, 4194310, F₃, 2, 12) (dual of [(4194310, 2), 8388492, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁸, 9, F₃, 2, 6) (dual of [(9, 2), 10, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 8, 9)-net over F₃, using
      - 1 times m-reduction [i] based on digital (2, 9, 9)-net over F₃, using
        a shift-net [i]
  2. linear OOA(3¹²⁰, 4194301, F₃, 2, 12) (dual of [(4194301, 2), 8388482, 13]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹²⁰, 8388602, F₃, 12) (dual of [8388602, 8388482, 13]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹²⁰, large, F₃, 12) (dual of [large, large−120, 13]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: 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.