MinT - Information on Result #2298957

Information on Result #2298957

Linear OA(2¹⁶⁰, 305, F₂, 40) (dual of [305, 145, 41]-code), using 1 times truncation based on linear OA(2¹⁶¹, 306, F₂, 41) (dual of [306, 145, 42]-code), using

concatenation of two codes [i] based on
1. linear OA(32²², 51, F₃₂, 20) (dual of [51, 29, 21]-code), using
  - discarding factors / shortening the dual code based on linear OA(32²², 53, F₃₂, 20) (dual of [53, 31, 21]-code), using
    - extended algebraic-geometric code AG_e(F,32P) [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.