MinT - Information on Result #2625033

Information on Result #2625033

Linear OOA(3¹⁸⁴, 65, F₃, 3, 129) (dual of [(65, 3), 11, 130]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁴, 65, F₃, 3, 131) (dual of [(65, 3), 11, 132]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁶, 19, F₃, 3, 37) (dual of [(19, 3), 11, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹²⁷, 46, F₃, 3, 93) (dual of [(46, 3), 11, 94]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁴³, 18, F₃, 3, 34) (dual of [(18, 3), 11, 35]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(3⁴³, 19, F₃, 3, 34) (dual of [(19, 3), 14, 35]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19 (see above)
    2. linear OOA(3⁷³, 28, F₃, 3, 58) (dual of [(28, 3), 11, 59]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
        an explicitly constructive algebraic function field [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.