MinT - Information on Result #2261279

Information on Result #2261279

Linear OA(2²¹⁷, 329, F₂, 62) (dual of [329, 112, 63]-code), using 5 times code embedding in larger space based on linear OA(2²¹², 324, F₂, 62) (dual of [324, 112, 63]-code), using

1 times truncation [i] based on linear OA(2²¹³, 325, F₂, 63) (dual of [325, 112, 64]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16³⁷, 65, F₁₆, 31) (dual of [65, 28, 32]-code), using
    - extended algebraic-geometric code AG_e(F,33P) [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.