MinT - Information on Result #2261498

Information on Result #2261498

Linear OA(2²⁴⁵, 385, F₂, 66) (dual of [385, 140, 67]-code), using 2 times code embedding in larger space based on linear OA(2²⁴³, 383, F₂, 66) (dual of [383, 140, 67]-code), using

1 times truncation [i] based on linear OA(2²⁴⁴, 384, F₂, 67) (dual of [384, 140, 68]-code), using
- concatenation of two codes [i] based on
  1. linear OA(32³⁶, 64, F₃₂, 33) (dual of [64, 28, 34]-code), using
    - extended algebraic-geometric code AG_e(F,30P) [i] based on function field F/F₃₂ with g(F) = 3 and N(F) ≥ 64, 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.