MinT - Information on Result #948733

Information on Result #948733

Linear OOA(2¹⁸³, 109, F₂, 3, 47) (dual of [(109, 3), 144, 48]-NRT-code), using OOA 3-folding based on linear OA(2¹⁸³, 327, F₂, 47) (dual of [327, 144, 48]-code), using

2 times code embedding in larger space [i] based on linear OA(2¹⁸¹, 325, F₂, 47) (dual of [325, 144, 48]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16²⁹, 65, F₁₆, 23) (dual of [65, 36, 24]-code), using
    - extended algebraic-geometric code AG_e(F,41P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
      - the Hermitian function field over F₁₆ [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.