MinT - Information on Result #2299085

Information on Result #2299085

Linear OA(2¹⁸², 317, F₂, 48) (dual of [317, 135, 49]-code), using 1 times truncation based on linear OA(2¹⁸³, 318, F₂, 49) (dual of [318, 135, 50]-code), using

concatenation of two codes [i] based on
1. linear OA(32²⁶, 53, F₃₂, 24) (dual of [53, 27, 25]-code), using
  - extended algebraic-geometric code AG_e(F,28P) [i] based on function field F/F₃₂ with g(F) = 2 and N(F) ≥ 53, using
    - sharp bound on the number of rational points on curves with genus 2 [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: 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.