MinT - Information on Result #2652624

Information on Result #2652624

Linear OOA(2⁷⁵, 29, F₂, 3, 42) (dual of [(29, 3), 12, 43]-NRT-code), using 1 step truncation based on linear OOA(2⁷⁶, 30, F₂, 3, 43) (dual of [(30, 3), 14, 44]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(4²³, 10, F₄, 3, 21) (dual of [(10, 3), 7, 22]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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.