MinT - Information on Result #2451280

Information on Result #2451280

Linear OOA(8¹⁷¹, 87, F₈, 2, 156) (dual of [(87, 2), 3, 157]-NRT-code), using strength reduction based on linear OOA(8¹⁷¹, 87, F₈, 2, 157) (dual of [(87, 2), 3, 158]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8¹³, 8, F₈, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;3,8) [i]
2. linear OOA(8¹⁵⁵, 79, F₈, 2, 143) (dual of [(79, 2), 3, 144]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(8¹¹, 7, F₈, 2, 11) (dual of [(7, 2), 3, 12]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(8¹¹, 8, F₈, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code), using
        Reedâ€“Solomon NRT-code RS(2;5,8) [i]
    2. linear OOA(8¹⁴¹, 72, F₈, 2, 131) (dual of [(72, 2), 3, 132]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(8¹¹, 7, F₈, 2, 11) (dual of [(7, 2), 3, 12]-NRT-code) (see above)
        linear OOA(8¹²⁷, 65, F₈, 2, 119) (dual of [(65, 2), 3, 120]-NRT-code), using
        standard lengthening with (d₀,â€¦,d₁)Â = (118,119) [i] based on linear OOA(8¹²⁵, 64, F₈, 2, 117) (dual of [(64, 2), 3, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F₈ [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.