MinT - Information on Result #981937

Information on Result #981937

Linear OOA(8¹⁰⁹, 57, F₈, 3, 55) (dual of [(57, 3), 62, 56]-NRT-code), using OOA 2-folding based on linear OOA(8¹⁰⁹, 114, F₈, 2, 55) (dual of [(114, 2), 119, 56]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(8¹⁰⁷, 113, F₈, 2, 55) (dual of [(113, 2), 119, 56]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8³⁸, 48, F₈, 2, 27) (dual of [(48, 2), 58, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,68P) [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(8⁶⁹, 65, F₈, 2, 55) (dual of [(65, 2), 61, 56]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,74P) [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.