MinT - Information on Result #2298919

Information on Result #2298919

Linear OA(2¹⁵⁶, 311, F₂, 38) (dual of [311, 155, 39]-code), using 1 times truncation based on linear OA(2¹⁵⁷, 312, F₂, 39) (dual of [312, 155, 40]-code), using

concatenation of two codes [i] based on
1. linear OA(32²¹, 52, F₃₂, 19) (dual of [52, 31, 20]-code), using
  - discarding factors / shortening the dual code based on linear OA(32²¹, 53, F₃₂, 19) (dual of [53, 32, 20]-code), using
    - extended algebraic-geometric code AG_e(F,33P) [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.