MinT - Information on Result #981795

Information on Result #981795

Linear OOA(8¹⁰³, 56, F₈, 3, 52) (dual of [(56, 3), 65, 53]-NRT-code), using OOA 2-folding based on linear OOA(8¹⁰³, 112, F₈, 2, 52) (dual of [(112, 2), 121, 53]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8¹⁰³, 113, F₈, 2, 52) (dual of [(113, 2), 123, 53]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8³⁷, 48, F₈, 2, 26) (dual of [(48, 2), 59, 27]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,69P) [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
      - a function field by SÃ©mirat [i]
  2. linear OOA(8⁶⁶, 65, F₈, 2, 52) (dual of [(65, 2), 64, 53]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,77P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
      - the Suzuki function field over F₈ [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.