MinT - Information on Result #910530

Information on Result #910530

Linear OOA(8¹⁷³, 88, F₈, 2, 159) (dual of [(88, 2), 3, 160]-NRT-code), using juxtaposition based on

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]
linear OOA(8¹⁵⁷, 80, F₈, 2, 145) (dual of [(80, 2), 3, 146]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(8¹³, 8, F₈, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code) (see above)
  2. linear OOA(8¹⁴¹, 72, F₈, 2, 131) (dual of [(72, 2), 3, 132]-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(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.

None.

The following results depend on this result: