MinT - Information on Result #2798098

Information on Result #2798098

Linear OOA(3²⁴¹, 4194403, F₃, 4, 16) (dual of [(4194403, 4), 16777371, 17]-NRT-code), using 3¹ times duplication based on linear OOA(3²⁴⁰, 4194403, F₃, 4, 16) (dual of [(4194403, 4), 16777372, 17]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3¹³, 103, F₃, 4, 5) (dual of [(103, 4), 399, 6]-NRT-code), using
  - extracting embedded OOA [i] based on digital (8, 13, 103)-net over F₃, using
    - linear code embedding found in a computer search [i]
2. linear OOA(3⁷⁶, 2097150, F₃, 4, 8) (dual of [(2097150, 4), 8388524, 9]-NRT-code), using
  - OOA 4-folding [i] based on linear OA(3⁷⁶, 8388600, F₃, 8) (dual of [8388600, 8388524, 9]-code), using
    - discarding factors / shortening the dual code 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(3¹⁵¹, 2097150, F₃, 4, 16) (dual of [(2097150, 4), 8388449, 17]-NRT-code), using
  - OOA 4-folding [i] based on linear OA(3¹⁵¹, 8388600, F₃, 16) (dual of [8388600, 8388449, 17]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹⁵¹, large, F₃, 16) (dual of [large, large−151, 17]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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.