MinT - Information on Result #2491533

Information on Result #2491533

Linear OOA(3¹⁹¹, 124, F₃, 2, 87) (dual of [(124, 2), 57, 88]-NRT-code), using 3¹ times duplication based on linear OOA(3¹⁹⁰, 124, F₃, 2, 87) (dual of [(124, 2), 58, 88]-NRT-code), using

4 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁸², 120, F₃, 2, 87) (dual of [(120, 2), 58, 88]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9⁵¹, 40, F₉, 2, 43) (dual of [(40, 2), 29, 44]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,36P) [i] based on function field F/F₉ with g(F) = 8 and N(F) ≥ 40, using
      - a function field by SÃ©mirat [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.