MinT - Information on Result #1056425

Information on Result #1056425

Linear OOA(2²³⁷, 123, F₂, 4, 61) (dual of [(123, 4), 255, 62]-NRT-code), using OOA 2-folding based on linear OOA(2²³⁷, 246, F₂, 2, 61) (dual of [(246, 2), 255, 62]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(32³¹, 41, F₃₂, 2, 30) (dual of [(41, 2), 51, 31]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(32³¹, 44, F₃₂, 2, 30) (dual of [(44, 2), 57, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,57P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, using
      - a function field by SÃ©mirat [i]
2. linear OA(2¹, 6, F₂, 1) (dual of [6, 5, 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.