MinT - Information on Result #1104341

Information on Result #1104341

Linear OOA(3¹²⁴, 30, F₃, 5, 61) (dual of [(30, 5), 26, 62]-NRT-code), using OOA 2-folding based on linear OOA(3¹²⁴, 60, F₃, 3, 61) (dual of [(60, 3), 56, 62]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(9³², 20, F₉, 3, 30) (dual of [(20, 3), 28, 31]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,29P) [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.