MinT - Information on Result #2476193

Information on Result #2476193

Linear OOA(9¹³⁶, 69, F₉, 2, 124) (dual of [(69, 2), 2, 125]-NRT-code), using 13 step truncation based on linear OOA(9¹⁴⁹, 76, F₉, 2, 137) (dual of [(76, 2), 3, 138]-NRT-code), using

strength reduction [i] based on linear OOA(9¹⁴⁹, 76, F₉, 2, 139) (dual of [(76, 2), 3, 140]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(9¹⁷, 10, F₉, 2, 17) (dual of [(10, 2), 3, 18]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;3,9) [i]
  2. linear OOA(9¹²⁹, 66, F₉, 2, 121) (dual of [(66, 2), 3, 122]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(9¹⁷, 10, F₉, 2, 17) (dual of [(10, 2), 3, 18]-NRT-code) (see above)
      2. linear OOA(9¹⁰⁹, 56, F₉, 2, 103) (dual of [(56, 2), 3, 104]-NRT-code), using
        repeating each code word 2 times [i] based on linear OOA(9⁵³, 28, F₉, 2, 51) (dual of [(28, 2), 3, 52]-NRT-code), using
        standard lengthening with (d₀,â€¦,d₁)Â = (50,51) [i] based on linear OOA(9⁵¹, 27, F₉, 2, 49) (dual of [(27, 2), 3, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,4P) with known gap numbers [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F₉ [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.