MinT - Information on Result #1059971

Information on Result #1059971

Linear OOA(3¹⁴⁹, 2097163, F₃, 4, 14) (dual of [(2097163, 4), 8388503, 15]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁴⁹, 4194326, F₃, 2, 14) (dual of [(4194326, 2), 8388503, 15]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁴⁹, 4194327, F₃, 2, 14) (dual of [(4194327, 2), 8388505, 15]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹³, 26, F₃, 2, 7) (dual of [(26, 2), 39, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (6, 13, 26)-net over F₃, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(3¹³⁶, 4194301, F₃, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹³⁶, 8388602, F₃, 14) (dual of [8388602, 8388466, 15]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹³⁶, large, F₃, 14) (dual of [large, large−136, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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.