MinT - Information on Result #993355

Information on Result #993355

Linear OOA(128⁶⁸, 172, F₁₂₈, 3, 42) (dual of [(172, 3), 448, 43]-NRT-code), using OOA 2-folding based on linear OOA(128⁶⁸, 344, F₁₂₈, 2, 42) (dual of [(344, 2), 620, 43]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(128⁶⁸, 345, F₁₂₈, 2, 42) (dual of [(345, 2), 622, 43]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(128²¹, 129, F₁₂₈, 2, 21) (dual of [(129, 2), 237, 22]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;237,128) [i]
  2. linear OOA(128⁴⁷, 216, F₁₂₈, 2, 42) (dual of [(216, 2), 385, 43]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,389P) [i] based on function field F/F₁₂₈ with g(F) = 5 and N(F) ≥ 216, using
      - a function field by SÃ©mirat [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.