MinT - Information on Result #1063158

Information on Result #1063158

Linear OOA(3⁹⁰, 30, F₃, 4, 46) (dual of [(30, 4), 30, 47]-NRT-code), using OOA 2-folding based on linear OOA(3⁹⁰, 60, F₃, 2, 46) (dual of [(60, 2), 30, 47]-NRT-code), using

strength reduction [i] based on linear OOA(3⁹⁰, 60, F₃, 2, 47) (dual of [(60, 2), 30, 48]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9²⁵, 20, F₉, 2, 23) (dual of [(20, 2), 15, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₉ with g(F) = 2 and N(F) ≥ 20, using
      - a function field by GarcÃa and Quoos [i]
  2. linear OA(3¹, 3, F₃, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 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.