MinT - Information on Result #821323

Information on Result #821323

Linear OOA(3²³⁷, 150, F₃, 2, 97) (dual of [(150, 2), 63, 98]-NRT-code), using OOA 2-folding based on linear OA(3²³⁷, 300, F₃, 97) (dual of [300, 63, 98]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁵⁴, 75, F₂₇, 48) (dual of [75, 21, 49]-code), using
  - algebraic-geometric code AG(F,26P) [i] based on function field F/F₂₇ with g(F) = 6 and N(F) ≥ 76, using
    - a function field by SÃ©mirat [i]
2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 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.