MinT - Information on Result #2624868

Information on Result #2624868

Linear OOA(3¹⁸¹, 62, F₃, 3, 138) (dual of [(62, 3), 5, 139]-NRT-code), using strength reduction based on linear OOA(3¹⁸¹, 62, F₃, 3, 142) (dual of [(62, 3), 5, 143]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹³, 6, F₃, 3, 12) (dual of [(6, 3), 5, 13]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹³, 7, F₃, 3, 12) (dual of [(7, 3), 8, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁶³, 56, F₃, 3, 129) (dual of [(56, 3), 5, 130]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷⁹, 28, F₃, 3, 64) (dual of [(28, 3), 5, 65]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,19P) [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.