MinT - Information on Result #2894334

Information on Result #2894334

Linear OOA(3¹⁵¹, 4194335, F₃, 5, 14) (dual of [(4194335, 5), 20971524, 15]-NRT-code), using 3¹ times duplication based on linear OOA(3¹⁵⁰, 4194335, F₃, 5, 14) (dual of [(4194335, 5), 20971525, 15]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁵⁰, 4194335, F₃, 2, 14) (dual of [(4194335, 2), 8388520, 15]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹⁴, 34, F₃, 2, 7) (dual of [(34, 2), 54, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 14, 34)-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: 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.