MinT - Information on Result #1056846

Information on Result #1056846

Linear OOA(2²⁵², 123, F₂, 4, 67) (dual of [(123, 4), 240, 68]-NRT-code), using OOA 2-folding based on linear OOA(2²⁵², 246, F₂, 2, 67) (dual of [(246, 2), 240, 68]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(2²⁵⁰, 245, F₂, 2, 67) (dual of [(245, 2), 240, 68]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16³⁸, 49, F₁₆, 2, 33) (dual of [(49, 2), 60, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,64P) [i] based on function field F/F₁₆ with g(F) = 5 and N(F) ≥ 49, using
      - a function field by SÃ©mirat [i]
  2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 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.